proyek sistem bilangan real

TUGAS PROYEK

SISTEM BILANGAN REAL

KELOMPOK III

Disusun oleh :

Adik Niko Heri Mukti Kusuma (5215122652)

Albinus Andy Kurniawan (5215122663)

Andhika Wiradharma (5215122633)

Atanasius Agung Novian Yolanda P. (5215120367)

Dini Anggraini (5215122639)

Lidya Setiawati (5215122680)

Puspa Dwi Aryani (5215122670)

Ridwan Saputra (5215122665)

PENDIDIKAN TEKNIK ELEKTRONIKA

FAKULTAS TEKNIK UNIVERSITAS NEGERI JAKARTA

2012/2013

ii

KATA PENGANTAR

Puji syukur kehadirat Tuhan Yang Maha Kuasa.Berkat rahmat, nikmat, serta

limpahan karunia-Nya Makalah Proyek Sistem Bilangan Real ini dapat

diselesaikan tepat pada waktunya.

Penulisan makalah proyek ini sebagai sarana pemenuhan tugas mata kuliah

pendidikan matematika I, pendidikan teknik elektronika semester 097 tahun

pelajaran 2012/2013.

Dalam penyelesaian makalah proyek ini penulis banyak mengalami kesulitan

karena kurangnya materi yang diperoleh.Namun berkat bantuan dari berbagai

pihak,akhirnya makalah ini dapat diselesaikan.Oleh karena itu, penulis

mengucapkan terima kasih kepada:

1. Dr.Ir.Rusmono sebagai Dosen Pembimbing Matematika I

2. Tim sebagai pencari informasi tambahan

Penulis menyadari makalah proyek ini masih jauh dari sempurna.Oleh karena

itu,penulis meminta kritik dan saran yang membangun makalah proyek ini

menjadi lebih baik.

Semoga makalah ini dapat bermanfaat bagi yang membaca, khususnya

penulis.

Jakarta, 31 Desember 2012

PENULIS

iii

DAFTAR ISI

Cover ....................................................................................................................... i

Kata pengantar ....................................................................................................... ii

Daftar Isi ................................................................................................................. iii

BAB I PENDAHULUAN

1.1 Latar belakang .................................................................................................. 1

1.2 Perumusan Masalah .......................................................................................... 2

1.3 Tujuan .............................................................................................................. 2

BAB II PEMBAHASAN

2.1 Definisi Sistem Bilangan Real .......................................................................... 3

2.2 Contoh Soal ..................................................................................................... 9

a. Aljabar ........................................................................................................ 9

b. Trigonometri ............................................................................................... 10

c. Eksponensial ............................................................................................... 10

2.3 Latihan Soal ..................................................................................................... 11

a. Aljabar ........................................................................................................ 11

b. Trigonometri ............................................................................................... 12

c. Eksponensial ............................................................................................... 12

BAB III LAMPIRAN

3.1 Algoritma Program ............................................................................................ 13

3.2 Flowchart Program ........................................................................................... 14

3.3 List Program .................................................................................................... 15

3.4 Hasil Program .................................................................................................. 73

BAB IV PENUTUP

4.1 Kesimpulan ...................................................................................................... 83

4.2 Saran ................................................................................................................ 83

DAFTAR PUSTAKA

1

BAB I

PENDAHULUAN

1.1 Latar Belakang

Di dalam perkuliahan matematika I terdapat bab yang menjelaskan mengenai

Sistem Bilangan Real. Bilangan-bilangan real adalah tinjauan himpunan semua bilangan

(rasional dan irasional) yang dapat mengukur panjang, bersama-sama dengan negatifnya

dan nol.

Dalam rangka memenuhi proyek akhir perkuliahan matematika I maka dibuatlah

suatu aplikasi untuk memenuhi penyelesaian beberapa persoalan matematika yang secara

khusus mengenai bilangan real. Software yang digunakan dalam pembuatan aplikasi ini

adalah VISUAL BASIC 6.0. Algoritma yang sudah dirancang lalu di aplikasikan pada

syntax visual basic, kemudian di uji cobakan dengan membandingkan antara hasil

perhitungan manual dengan hasil dari output program aplikasi ini sehingga terdapat

kesesuaian hasil yang sama dan valid.

Dengan adanya aplikasi untuk menyelesaikan permasalahan matematika, khususnya

bilangan real maka diharapkan pengguna aplikasi ini dapat menggunakannya dalam

menyelesaikan persoalan bilangan real dengan lebih cepat, mudah, dan akurat karena

menggunakan aplikasi yang didesain praktis. Para pengguna aplikasi inipun diharapkan

dapat mengerti juga cara membuat program ini karena syntax dari program ini bisa dilihat

dalam VISUAL BASIC 6.0 . Adapun aplikasi ini dapat dijadikan pembanding untuk

mengkalibrasi (calibrate)/adjustment hasil perhitungan manual dengan perhitungan hasil

operasi program dari aplikasi sistem bilangan real ini.

2

1.2 Perumusan Masalah

1. Apakah para pengguna dapat mengerti cara membuat program ini dan sistem kerja

program ini dengan melihat informasi syntax/list program yang tersedia?

2. Apakah penyajian dari aplikasi ini sudah memudahkan pengguna aplikasi ini?

3. Apakah aplikasi ini sudah bisa membantu menyelesaikan persoalan matematika

khususnya sistem bilangan real?

4. Apakah aplikasi ini dapat dijadikan acuan tetap atau hanya sebatas media

pembanding antara perhitungan manual dengan perhitungan program?

1.3 Tujuan

1. Dapat mengerti pembuatan program sehingga menjadi suatu aplikasi dengan bantuan

software VISUAL BASIC 6.0, dari mulai perancangan algoritma sampai

menkonversinya menjadi suatu syntax sehingga program dapat dijalankan dan

berfungsi dengan baik.

2. Menyajikan aplikasi sistem bilangan real dengan penggunaan yang mudah.

3. Membantu menyelesaikan persoalan sistem bilangan real dengan cara praktis dan

cepat dengan bantuan aplikasi yang dibuat dengan software VISUAL BASIC 6.0.

4. Sebagai acuan tetap pembantu perhitungan atau sebagai media pembanding antara

hasil perhitungan manual dengan output perhitungan program komputer.

3

BAB II

PEMBAHASAN

2.1 Definisi Sistem Bilangan Real

2.1.1 Sistem bilangan real

Bilangan rasional adalah bilangan-bilangan yang dapat dituliskan dalam

bentuk

dengan m dan n adalah bilangan-bilangan bulat dengan n ≠ 0.

Bilangan irasional adalah bilangan yang tidak dapat dituliskan sebagai suatu

hasil bagi dari dua bilangan bulat, contoh:

Sifat-Sifat Medan

1. Hukum Komutatif, dan

2. Hukum Asosiatif, dan

3. Hukum Distributif,

4. Elemen-Elemen Identitas: Terdapat dua bilangan real yang berlainan 0 dan 1

yang memenuhi dan untuk setiap bilangan real

5. Balikan (Invers): Setiap bilangan mempunyai balikan penambahan (disebut

negatif) yaitu yang memenuhi . Juga setiap bilangan kecuali

0 mempunyai balikan perkalian (disebut juga kebalikan), yang memenuhi

.1

Sifat-Sifat Urutan

1. Trikotomi, jika dan adalah bilangan-bilangan, maka pastilah salah satu

diantara yang berikut ini berlaku: atau atau .

2. Ketransitifan, dan

3. Penambahan,

4. Perkalian, bilamana positif maka

5. Bilamana negative maka

1 Edwin J. Purcell, Dale Vanberg, Steven E. Ringdon, Kalkulus Edisi Kedelapan Jilid 1 (Jakarta :

Erlangga, 2003), hlm. 2.

4

2.1.2 Ketaksamaan

Untuk menyelesaikan suatu ketaksamaan berarti mencari semua

himpunan bilangan real yang membuat ketaksamaan itu berlaku. Berbeda dengan

persamaan, himpunan penyelesaian suatu ketaksamaan biasanya terdiri dari suatu

keseluruhan selang bilangan atau, dalam beberapa kasus, gabungan dari selang-

selang yang demikian.

Ketaksamaan ganda menggambarkan selang terbuka yang

terdiri dari semua bilangan antara a dan b,tidak termasuk titik titik ujung a dan b.

Sebaliknya ketaksamaan menggambarkan selang tertutup, yang

mencakup titik- titik ujung a dan b.

Sama halnya dengan persamaan, prosedur untuk menyelesaikan

ketaksamaan terdiri atas pengubahan ketaksamaan satu langkah tiap kali sampai

himpunan penyelesaiannya jelas. Alat utamanya adalah sifat-sifat urutan.

Khususnya :

1. Kita dapat menambahkan bilangan yang sama pada kedua ruas suatu

ketaksamaan.

2. Kita dapat mengalihkan kedua ruas suatu ketaksamaan dengan suatu

bilangan positif.

3. Kita dapat mengalihkan kedua ruas dengan suatu bilangan negatif, tetapi

kemudian kita harus membalikkan arah tanda ketaksamaan.2

2.1.3 Nilai Mutlak, Akar Kuadrat, Kuadrat

Nilai mutlak suatu bilangan real x, dinyatakan dengan |x|, didefinisikan sebagai

Jika

Jika

Sifat sifat nilai mutlak berperilaku manis dibawah perkalian dan pembagian tetapi

tidak begitu baik dalam penambahan dan pengurangan.



5

Sifat-sifat Nilai Mutlak

1.

2.

3. (Ketaksamaan segitiga)

4. 3

Ketaksamaan yang Melibatkan Nilai Mutlak.

atau

Akar Kuadrat

Setiap bilangan positif mempunyai dua akar kuadrat.

Rumus Kuadrat

Penyelesaian untuk diberikan oleh



6

FUNGSI EKSPONENSIAL DAN LOGARITMA YANG LAIN

Jika

Bentuk pada ruas kiri (1) dinamakan fungsi eksponensial dengan absis

DEFINISI

Jika bilangan positif sebarang dan bilangan riil sebarang, maka fungsi yang

didefinisikan oleh

Dinamakan fungsi eksponensial dengan basis

Fungsi eksponensial dengan basis memenuhi sifat-sifat yang sama dengan fungsi

eksponensial asli

► Ilustrasi 1, jika dan bilangan riil sebarang dari positif, maka dari (1)

◄

Dari ilustrasi 1 kita peroleh

Kita juga dapat memeroleh sifat berikut:

4

Bukti (3) sampai dengan (6) diserahkan kepada pembaca sebagai latihan untuk

menentukan turunan fungsi eksponensial dengan basis kita ambil dan kita

terapkan aturan rantai.

7

4

4 Louis Leithold, Kalkulusdan Ilmu Ukur Analitik Edisi Kelima Jilid 2 (Jakarta : Erlangga, 1993),

hlm. 132.

8

Rumus Jumlah Dua Perbandingan Trigonometri.

a.

Bukti :

Dari

Bila

Terbukti dengan jalan yang sama diperoleh :

b.

c.

d.

5

5 Soedadyatmodjo, Buku Materi Pokok Trigonometri (Jakarta : Universitas Terbuka, 1986), hlm.

2.14.

9

2.2 Contoh soal

a. Aljabar

1. Selesaikan ketaksamaan dan perlihatkan grafik himpunan

Penyelesaian:

(Tambahkan 7)

(Tambahkan )

(Kalikan dengan

)

Himpunan penyelesaian:

Pemisahan selang penyelesaian:

Grafik: 6

2. Selesaikan dan perlihatkan grafik himpunan

Penyelesaian:

(Tambahkan -6)

(Kalikan dengan

)



Grafik: 7

3. Selesaikan ketaksamaan dan perlihatkan himpunan

penyelesaiannya pada garis real.

Penyelesaian Ketaksamaan ini dapat ditulis secara beruntun sebagai

atau

6 Louis Leithold, Kalkulusdan Ilmu Ukur Analitik Edisi Kelima Jilid 2 (Jakarta : Erlangga, 1993), hlm. 132.

003), hlm. 11. 7 Edwin J. Purcell, Dale Vanberg, Steven E. Ringdon, Kalkulus Edisi Kedelapan Jilid 1 (Jakarta :


(

| )

10

atau

atau



Grafik:

8

b. Trigonometri

1. Selesaikan: cos 30o + cos 180

o

Cos 300 + cos 180

o =

=

=

c. Eksponensial

1.

24 6



| |

11

2.3 Latihan Soal

a. Aljabar

1. Selesaikanlah ketaksamaan dan perlihatkan grafik himpunan

penyelesaiannya !

Penyelesaian :

Himpunan penyelesaian :

Pemisahan selang penyelesaian :

Grafik:

2. Selesaikan dan perlihatkan grafik himpunan

Penyelesaian:



Grafik:

3. Selesaikan ketaksaman dan perlihatkan himpunan penyelesaiannya

pada garis real.

Penyelesaian Ketaksamaan ini dapat ditulis secara beruntun sebagai

atau

atau

4

(

| )

12

atau

atau

Himpunan penyelesaian :

Pemisahan selang penyelesaian :

Grafik:

a. Trigonometri

1. Selesaikan: cos 90o + cos 270

o!

Cos 900 + cos 270

o =

0

b. Eksponensial

1.

| |

13

BAB III

LAMPIRAN

3.1 Algoritma Program

1. Start.

2. Judul program = Sistem Bilangan Real.

3. Variabel yang digunakan = x dan e.

4. Input soal .

5. Proses = Aljabar, Trigonemetri, Eksponen..

6. Hasil.

7. Selesai.

14

3.2 Flowchart Program

Keluar

C_Panel

Stop

Yes

Reset Alamat Reset

Merubah Alamat Input Alamat File Flash

Apply

No

About Me

Contoh Soal

1-5

Hasil Input Angka

Play file flash0.swf

Aplikasi

Presentasi

START

Command 1-5

Informasi

15

3.3 List Program

a. List Program Form 1 : Private Sub lp1_Click()

frm2a.Visible = False

Frame12.Visible = True

a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)

If Form1.Ls1.ListIndex = 0 And Form1.Ls3.ListIndex = 0 Then

E = a - c

ElseIf Form1.Ls1.ListIndex = 0 And Form1.Ls3.ListIndex = 1 Then

E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

Label2a = Form1.Label1

'Menampilkan caption Label3

If Form1.Ls1.ListIndex = 0 And Form1.Ls3.ListIndex = 0 And f >=

0 Then

Label3a.Caption = a & "x < " & c & "x + " & f

ElseIf Form1.Ls1.ListIndex = 0 And Form1.Ls3.ListIndex = 0 And

f < 0 Then

Label3a.Caption = a & "x < " & c & "x " & f


f >= 0 Then

Label3a.Caption = a & "x < -" & c & "x + " & f


f < 0 Then

Label3a.Caption = a & "x < -" & c & "x " & f


f >= 0 Then

Label3a.Caption = "-" & a & "x < " & c & "x + " & f


f < 0 Then

Label3a.Caption = "-" & a & "x < " & c & "x " & f


f >= 0 Then

Label3a.Caption = "-" & a & "x < -" & c & "x + " & f


f < 0 Then

Label3a.Caption = "-" & a & "x < -" & c & "x " & f

16

End If

Label4a.Caption = E & "x < " & f

If f = 0 Then

Label5a.Caption = "x < 0"

Else

Label5a.Caption = "x < " & f & "/" & E

End If

End Sub

Private Sub lp2_Click()

frm2b.Visible = False


a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

If a < c And Form1.Ls1.ListIndex = 0 And Form1.Ls3.ListIndex =

0 Then

G = c - a


G = c + a

ElseIf a > c And Form1.Ls1.ListIndex = 1 And

Form1.Ls3.ListIndex = 1 Then

G = a - c

End If

If b > d And Form1.Ls2.ListIndex = 0 And Form1.Ls4.ListIndex =

0 Or b > d And Form1.Ls2.ListIndex = 1 And Form1.Ls4.ListIndex

= 0 Then

H = b - d


H = b + d

ElseIf b < d And Form1.Ls2.ListIndex = 1 And


H = d - b

17

End If

Label2b = Form1.Label1


0 Then

Label3b.Caption = a & "x < " & c & "x + " & f


f < 0 Then

Label3b.Caption = a & "x < " & c & "x " & f


f >= 0 Then

Label3b.Caption = a & "x < -" & c & "x + " & f


f < 0 Then

Label3b.Caption = a & "x < -" & c & "x " & f


f >= 0 Then

Label3b.Caption = "-" & a & "x < " & c & "x + " & f


f < 0 Then

Label3b.Caption = "-" & a & "x < " & c & "x " & f


f >= 0 Then

Label3b.Caption = "-" & a & "x < -" & c & "x + " & f


f < 0 Then

Label3b.Caption = "-" & a & "x < -" & c & "x " & f

End If

Label4b.Caption = E & "x < " & f

If f = 0 Then

Label5b.Caption = "x > 0"

ElseIf f > 0 Then

Label5b.Caption = "x > -" & f & "/" & G

Else

Label5b.Caption = "x > " & H & "/" & G

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

18

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

Label2c = Form1.Label1



0 Then

Label3c.Caption = a & "x <= " & c & "x + " & f


f < 0 Then

Label3c.Caption = a & "x <= " & c & "x " & f


f >= 0 Then

Label3c.Caption = a & "x <= -" & c & "x + " & f


f < 0 Then

Label3c.Caption = a & "x <= -" & c & "x " & f


f >= 0 Then

Label3c.Caption = "-" & a & "x <= " & c & "x + " & f


f < 0 Then

Label3c.Caption = "-" & a & "x <=" & c & "x " & f


f >= 0 Then

Label3c.Caption = "-" & a & "x <= -" & c & "x + " & f


f < 0 Then

Label3c.Caption = "-" & a & "x <= -" & c & "x " & f

End If

Label4c.Caption = E & "x <= " & f

If f = 0 Then

Label5c.Caption = "x <= 0"

Else

Label5c.Caption = "x <= " & f & "/" & E

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)

19


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

Label2d = Form1.Label1


0 Then

Label3d.Caption = a & "x <= " & c & "x + " & f


f < 0 Then

Label3d.Caption = a & "x <= " & c & "x " & f


f >= 0 Then

Label3d.Caption = a & "x <= -" & c & "x + " & f


f < 0 Then

Label3d.Caption = a & "x <= -" & c & "x " & f


f >= 0 Then

Label3d.Caption = "-" & a & "x <= " & c & "x + " & f

20


f < 0 Then

Label3d.Caption = "-" & a & "x <= " & c & "x " & f


f >= 0 Then

Label3d.Caption = "-" & a & "x <= -" & c & "x + " & f


f < 0 Then

Label3d.Caption = "-" & a & "x <= -" & c & "x " & f

End If

Label4d.Caption = E & "x <= " & f

If f = 0 Then

Label5d.Caption = "x >= 0"

ElseIf f > 0 Then

Label5d.Caption = "x >= -" & f & "/" & G

Else

Label5d.Caption = "x >= " & H & "/" & G

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

Label2e = Form1.Label1



0 Then

21

Label3e.Caption = a & "x > " & c & "x + " & f


f < 0 Then

Label3e.Caption = a & "x > " & c & "x " & f


f >= 0 Then

Label3e.Caption = a & "x > -" & c & "x + " & f


f < 0 Then

Label3e.Caption = a & "x > -" & c & "x " & f


f >= 0 Then

Label3e.Caption = "-" & a & "x > " & c & "x + " & f


f < 0 Then

Label3e.Caption = "-" & a & "x > " & c & "x " & f


f >= 0 Then

Label3e.Caption = "-" & a & "x > -" & c & "x + " & f


f < 0 Then

Label3e.Caption = "-" & a & "x > -" & c & "x " & f

End If

Label4e.Caption = E & "x > " & f

If f = 0 Then

Label5e.Caption = "x > 0"

Else

Label5e.Caption = "x > " & f & "/" & E

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

22

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

Label2f = Form1.Label1


0 Then

Label3f.Caption = a & "x > " & c & "x + " & f


f < 0 Then

Label3f.Caption = a & "x > " & c & "x " & f


f >= 0 Then

Label3f.Caption = a & "x > -" & c & "x + " & f


f < 0 Then

Label3f.Caption = a & "x > -" & c & "x " & f


f >= 0 Then

Label3f.Caption = "-" & a & "x > " & c & "x + " & f


f < 0 Then

Label3f.Caption = "-" & a & "x > " & c & "x " & f


f >= 0 Then

Label3f.Caption = "-" & a & "x > -" & c & "x + " & f


f < 0 Then

Label3f.Caption = "-" & a & "x > -" & c & "x " & f

End If

Label4f.Caption = E & "x > " & f

If f = 0 Then

Label5f.Caption = "x < 0"

ElseIf f > 0 Then

Label5f.Caption = "x < -" & f & "/" & G

Else

23

Label5f.Caption = "x < " & H & "/" & G

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

Label2g = Form1.Label1



0 Then

Label3g.Caption = a & "x >= " & c & "x + " & f


f < 0 Then

Label3g.Caption = a & "x >= " & c & "x " & f


f >= 0 Then

Label3g.Caption = a & "x >= -" & c & "x + " & f


f < 0 Then

Label3g.Caption = a & "x >= -" & c & "x " & f


f >= 0 Then

Label3g.Caption = "-" & a & "x >= " & c & "x + " & f


f < 0 Then

Label3g.Caption = "-" & a & "x >= " & c & "x " & f


f >= 0 Then

24

Label3g.Caption = "-" & a & "x >= -" & c & "x + " & f


f < 0 Then

Label3g.Caption = "-" & a & "x >= -" & c & "x " & f

End If

Label4g.Caption = E & "x >= " & f

If f = 0 Then

Label5g.Caption = "x >= 0"

Else

Label5g.Caption = "x >= " & f & "/" & E

End If

End Sub




a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d

25


H = b + d



H = d - b

End If

Label2h = Form1.Label1


0 Then

Label3h.Caption = a & "x >= " & c & "x + " & f


f < 0 Then

Label3h.Caption = a & "x >= " & c & "x " & f


f >= 0 Then

Label3h.Caption = a & "x >= -" & c & "x + " & f


f < 0 Then

Label3h.Caption = a & "x >= -" & c & "x " & f


f >= 0 Then

Label3h.Caption = "-" & a & "x >= " & c & "x + " & f


f < 0 Then

Label3h.Caption = "-" & a & "x >= " & c & "x " & f


f >= 0 Then

Label3h.Caption = "-" & a & "x >= -" & c & "x + " & f


f < 0 Then

Label3h.Caption = "-" & a & "x >= -" & c & "x " & f

End If

Label4h.Caption = E & "x >= " & f

If f = 0 Then

Label5h.Caption = "x <= 0"

ElseIf f > 0 Then

Label5h.Caption = "x <= -" & f & "/" & G

Else

Label5h.Caption = "x <= " & H & "/" & G

End If

End Sub


frm6.Visible = False


I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


26

M = I - K


M = I + K


M = -I - K


M = -I + K

End If


N = L - K


N = -L - K


N = L + K


N = -L + K

End If

Label2i = Form1.Label1

Label3i.Caption = M & " < " & J & "x < " & N

Label4i.Caption = M & "/" & J & " < x < " & N & "/" & J

End Sub




I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


M = I - K


M = I + K


M = -I - K


M = -I + K

End If


N = L - K


N = -L - K


N = L + K


N = -L + K

End If

Label2j = Form1.Label1

27

Label3j.Caption = M & " < " & J & "x <= " & N

Label4j.Caption = M & "/" & J & " < x <= " & N & "/" & J

End Sub




I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


M = I - K


M = I + K


M = -I - K


M = -I + K

End If


N = L - K


N = -L - K


N = L + K


N = -L + K

End If

Label2k = Form1.Label1

Label3k.Caption = M & " <= " & J & "x < " & N

Label4k.Caption = M & "/" & J & " <= x < " & N & "/" & J

End Sub




I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


M = I - K


M = I + K


28

M = -I - K


M = -I + K

End If


N = L - K


N = -L - K


N = L + K


N = -L + K

End If

Label2l = Form1.Label1

Label3l.Caption = M & " <= " & J & "x <= " & N

Label4l.Caption = M & "/" & J & " <= x <= " & N & "/" & J

End Sub

Private Sub Command1_Click()

Form1.Cmd1.Enabled = False

Form1.Enabled = True

Form1.Label1.Caption = "Soal Yang Anda Buat"

Form1.Show

Form1.T1.Text = ""

Form1.T2.Text = ""

Form1.T3.Text = ""

Form1.T4.Text = ""

Form1.T5.Text = ""

Form1.T6.Text = ""

Form1.T7.Text = ""

Form1.T8.Text = ""

Form1.Ls8.Text = ""

Form1.Ls9.Text = ""

Form1.Ls10.Text = ""

Form1.T9.Text = ""

Form1.T10.Text = ""

Form1.T11.Text = ""

Form1.Lsa.Text = ""

Form1.Lsc.Text = ""

Form1.T12.Text = ""

Form1.T13.Text = ""

Form1.Lsd.Text = ""

Form1.Lse.Text = ""

Form1.Lsf.Text = ""

Form1.T14.Text = ""

Form1.T15.Text = ""

Form1.T16.Text = ""

Form1.gog1.Text = ""



Unload Me

End Sub

29

b. List Program Form 2 : Private Sub Form_Unload(Cancel As Integer)

Dim Response As Integer

Response = MsgBox("Apakah anda yakin ingin keluar ?", vbYesNo,

"Exit")

If Response = vbYes Then

End

Else

Me.Show

End If

End Sub

Private Sub apl_Click()

azx = filepres.Text

bzx = filewell.Text

ShockwaveFlash1.Movie = azx

ShockwaveFlash2.Movie = bzx

End Sub

Private Sub exit_Click()

Dim Response As Integer

Response = MsgBox("Apakah anda yakin ingin keluar ?", vbYesNo,

"Exit")

If Response = vbYes Then

End

Else

Me.Show

End If

End Sub

Private Sub Timmers_Timer()

Xmili.Caption = Val(Xmili.Caption) + 1

If Len(Xmili.Caption) = 1 Then Xmili.Caption = "0" &

Xmili.Caption

If Xmili.Caption = "60" Then

Xmili.Caption = "00"

xdetik.Caption = Val(xdetik.Caption) + 1

If Len(xdetik.Caption) = 1 Then xdetik.Caption = "0" &

xdetik.Caption

End If

If xdetik.Caption = "60" Then

xdetik.Caption = "00"

xmenit.Caption = Val(xmenit.Caption) + 1

If Len(xmenit.Caption) = 1 Then xmenit.Caption = "0" &

xmenit.Caption

End If

End Sub

Private Sub bk1_Click()

ShockwaveFlash2.Playing = False

well.Visible = False

Powerpoint.Visible = True

ShockwaveFlash1.Playing = True

Aboutme.Visible = False

Latihan.Visible = False

cpanel.Visible = False

30

End Sub



Powerpoint.Visible = False




Latihan.Visible = True


End Sub






Aboutme.Visible = True



End Sub






cpanel.Visible = True



End Sub

'Task Bar'

Private Sub hlo_Click()

tutup.Enabled = True

Timmers.Enabled = True

End Sub

Private Sub opn_Click()

buka.Enabled = True

End Sub

Private Sub buka_Timer()

'tskbar.Move Left = tskbar.Left, Top = tskbar.Top + 120

tskbar.Top = tskbar.Top - 120

If tskbar.Top = -480 Then

buka.Enabled = False

opn.Visible = False

hlo.Visible = True

End If

End Sub

Private Sub tutup_Timer()

tskbar.Top = tskbar.Top + 120

If tskbar.Top = 480 Then

tutup.Enabled = False

opn.Visible = True

31

hlo.Visible = False

End If

End Sub

'Task Bawah'

Private Sub Jam1_Timer()

'Frm1.Move Left = Frm1.Left, Top = Frm1.Top - 120

Frm1.Top = Frm1.Top - 120

If Frm1.Top = 7680 Then

Jam1.Enabled = False

End If

End Sub

Private Sub Jam2_Timer()

'Frm1.Move Left = Frm1.Left, Top = Frm1.Top - 120

Frm1.Top = Frm1.Top + 120



End If

End Sub

Private Sub Tmbl1_Click()


Jam1.Enabled = True


ElseIf Frm1.Top = 7680 Then


Jam2.Enabled = True

Slideshow.Visible = True

End If

End Sub

Private Sub mr1_Timer()

a = Me.iklan.Caption

b = Left(a, 1)

c = Right(a, Len(a) - 1)

Me.iklan.Caption = c + b

End Sub

'Tmbol Sesi'

Private Sub k1_Click()

End Sub

'Source Code aplikasi perhitungan bilangan real'

Private Sub Cb1_Click()

Cmd2.Enabled = True

If Cb1.ListIndex = 0 Then

Frame1.Enabled = True

Frame2.Enabled = False



32


Frame1.BackColor = &HFFFF80

Frame2.BackColor = &HFFFFFF




Label6.BackColor = &HFFFFFF





ElseIf Cb1.ListIndex = 1 Then



























Label6.BackColor = &HFFFF80

















33





















End If

End Sub

Private Sub Cmd1_Click()

If Frame1.Enabled = True Then

Form2.Show

ElseIf Frame2.Enabled = True Then

Form2.Show


Form2.Show


Form2.Show

End If


Form2.Show

Form2.ekw.Visible = True

End If

'Eksponen'

q = Val(T14)

w = Val(T15)

t = Val(T16)

If Frame6.Enabled = True And Lsd.ListIndex = 0 And

Lse.ListIndex = 0 And Lsf.ListIndex = 0 Then

u = q * w * t

ElseIf Frame6.Enabled = True And Lsd.ListIndex = 1 And


u = -q * -w * -t



u = -q * w * t



34

u = q * w * -t



u = -q * -w * t



u = q * -w * -t



u = q * -w * t



u = -q * w * -t

End If

da = Val(gog1)

db = Val(gog2)

dc = Val(gog3)

mn = da + db + dc



Form2.loto1.Caption = " = ( " & q & " x " & w & " x " & t & "

)" & "e"

Form2.pangkat.Caption = gog1 & " + " & gog2 & " + " & gog3

Form2.loto2.Caption = " = " & u & "e"

Form2.Loto3.Caption = mn



Form2.loto1.Caption = " = ( " & -q & " x " & -w & " x " & -t &

" )" & "e"

Form2.pangkat.Caption = " e ^ " & " - " & gog1 & " - " & gog2 &

" - " & gog3





Form2.loto1.Caption = " = ( " & -q & " x " & w & " x " & t & "

)" & "e"

Form2.pangkat.Caption = " e ^ " & " - " & gog1 & " + " & gog2 &

" + " & gog3





Form2.loto1.Caption = " = ( " & q & " x " & w & " x " & -t & "

)" & "e"

Form2.pangkat.Caption = " e ^ " & gog1 & " + " & gog2 & " - " &

gog3





Form2.loto1.Caption = " = ( " & -q & " x " & -w & " x " & t & "

)" & "e"

Form2.pangkat.Caption = " e ^ " & " - " & gog1 & " - " & gog2 &

" + " & gog3


35




Form2.Label1.Caption = " = ( " & q & " x " & -w & " x " & -t &

" )" & "e"

Form2.pangkat.Caption = " e ^ " & gog1 & " - " & gog2 & " - " &

gog3





Form2.loto1.Caption = " = ( " & q & " x " & -w & " x " & t & "

)" & "e"

Form2.pangkat.Caption = " e ^ " & gog1 & " - " & gog2 & " + " &

gog3





Form2.loto1.Caption = " = ( " & -q & " x " & w & " x " & -t & "

)" & "e"

Form2.pangkat.Caption = " e ^ " & " - " & gog1 & " + " & gog2 &

" - " & gog3



End If

If u > 125 Then

Form2.pangkat.Left = 2400

Form2.loto1.Width = 2300

End If

If u > 125 Then


Form2.Loto3.Left = 1200

End If

If u > 8000 Then

Form2.pangkat.Left = 2500


End If

If u > 8000 Then


Form2.Loto3.Left = 1300

End If

'Eksponen'

'Aljabar 1'

a = Val(T1)

b = Val(T2)

c = Val(T3)

d = Val(T4)

If Ls1.ListIndex = 0 And Ls3.ListIndex = 0 Then

E = a - c

ElseIf Ls1.ListIndex = 0 And Ls3.ListIndex = 1 Then

E = a + c


36

E = -a - c


E = -a + c

End If

'frm2a'

If Cb2.ListIndex = 0 And E > 0 Then

Form2.Show

Form2.frm2a.Visible = True

Form1.Enabled = False

a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

If f = 0 Then

Form2.Label6a.Caption = "{x: x < 0}"

Form2.Label7a.Caption = "( -~ , 0 )"

Form2.Label8a.Caption = "0"

Else

Form2.Label6a.Caption = "{x: x < " & f & "/" & E & "}"

Form2.Label7a.Caption = "(-~ , " & f & "/" & E & ")"

Form2.Label8a.Caption = f & "/" & E

End If

'frm2a'

'frm2b'

ElseIf Cb2.ListIndex = 0 And E < 0 Then

Form2.Show

Form2.frm2b.Visible = True


a = Val(Form1.T1)

b = Val(Form1.T2)

37

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

If f = 0 Then

Form2.Label6b.Caption = "{x: x > 0}"

Form2.Label7b.Caption = "( 0 , ~ )"

Form2.Label8b.Caption = "0"

ElseIf f > 0 Then

Form2.Label6b.Caption = "{x: x > -" & f & "/" & G & "}"

Form2.Label7b.Caption = "( -" & f & "/" & G & " , ~ )"

Form2.Label8b.Caption = "-" & f & "/" & G

Else

Form2.Label6b.Caption = "{x: x > " & H & "/" & G & "}"

Form2.Label7b.Caption = "( " & H & "/" & G & " , ~ )"

Form2.Label8b.Caption = H & "/" & G

End If

'End of frm2b'

38

'frm3a'

ElseIf Cb2.ListIndex = 1 And E > 0 Then

Form2.Show



a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

If f = 0 Then

Form2.Label6c.Caption = "{x: x <= 0}"

Form2.Label7c.Caption = "( -~ , 0 ]"

Form2.Label8c.Caption = "0"

Else

Form2.Label6c.Caption = "{x: x <= " & f & "/" & E & "}"

Form2.Label7c.Caption = "(-~ , " & f & "/" & E & "]"

Form2.Label8c.Caption = f & "/" & E

End If

'End of frm3a'

'frm3b'


Form2.Show



a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c

39


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

If f = 0 Then

Form2.Label6d.Caption = "{x: x >= 0}"

Form2.Label7d.Caption = "[ 0 , ~ )"

Form2.Label8d.Caption = "0"

ElseIf f > 0 Then

Form2.Label6d.Caption = "{x: x >= -" & f & "/" & G & "}"

Form2.Label7d.Caption = "[ -" & f & "/" & G & " , ~ )"

Form2.Label8d.Caption = "-" & f & "/" & G

Else

Form2.Label6d.Caption = "{x: x >= " & H & "/" & G & "}"

Form2.Label7d.Caption = "[ " & H & "/" & G & " , ~ )"

Form2.Label8d.Caption = H & "/" & G

End If

'End of frm3b'

'frm4a'


Form2.Show



40

a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

If f = 0 Then

Form2.Label6e.Caption = "{x: x > 0}"

Form2.Label7e.Caption = "( 0 , ~ )"

Form2.Label8e.Caption = "0"

Else

Form2.Label6e.Caption = "{x: x > " & f & "/" & E & "}"

Form2.Label7e.Caption = "(" & f & "/" & E & ", ~ )"

Form2.Label8e.Caption = f & "/" & E

End If

'End of frm4a'

'frm4b'


Form2.Show



a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d

41


f = -d - b


f = b + d


f = b - d

End If


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

If f = 0 Then

Form2.Label6f.Caption = "{x: x < 0}"

Form2.Label7f.Caption = "( -~ , 0 )"

Form2.Label8f.Caption = "0"

ElseIf f > 0 Then

Form2.Label6f.Caption = "{x: x < -" & f & "/" & G & "}"

Form2.Label7f.Caption = "( -~ , -" & f & "/" & G & " )"

Form2.Label8f.Caption = "-" & f & "/" & G

Else

Form2.Label6f.Caption = "{x: x < " & H & "/" & G & "}"

Form2.Label7f.Caption = "( -~ , " & H & "/" & G & " )"

Form2.Label8f.Caption = H & "/" & G

End If

'End of frm4b'

'frm5a'


Form2.Show



a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


42

E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

If f = 0 Then

Form2.Label6g.Caption = "{x: x >= 0}"

Form2.Label7g.Caption = "[ 0 , ~ )"

Form2.Label8g.Caption = "0"

Else

Form2.Label6g.Caption = "{x: x >= " & f & "/" & E & "}"

Form2.Label7g.Caption = "[" & f & "/" & E & ", ~ )"

Form2.Label8g.Caption = f & "/" & E

End If

'End of frm5a'

'frm5b'


Form2.Show



a = Val(Form1.T1)

b = Val(Form1.T2)

c = Val(Form1.T3)

d = Val(Form1.T4)


E = a - c


E = a + c


E = -a - c


E = -a + c

End If


f = -b + d


f = -d - b


f = b + d


f = b - d

End If

43


0 Then

G = c - a


G = c + a



G = a - c

End If



= 0 Then

H = b - d


H = b + d



H = d - b

End If

If f = 0 Then

Form2.Label6h.Caption = "{x: x <= 0}"

Form2.Label7h.Caption = "( -~ , 0 ]"

Form2.Label8h.Caption = "0"

ElseIf f > 0 Then

Form2.Label6h.Caption = "{x: x <= -" & f & "/" & G & "}"

Form2.Label7h.Caption = "( -~ , -" & f & "/" & G & " ]"

Form2.Label8h.Caption = "-" & f & "/" & G

Else

Form2.Label6h.Caption = "{x: x <= " & H & "/" & G & "}"

Form2.Label7h.Caption = "( -~ , " & H & "/" & G & " ]"

Form2.Label8h.Caption = H & "/" & G

End If

'End of frm5b'

End If

'Aljabar 1'

'Aljabar 2'

'frm6'

If Frame2.Enabled = True And Cb3.ListIndex = 0 And

Cb4.ListIndex = 0 Then

Form2.Show

Form2.frm6.Visible = True


I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


Mc = I - K


Mc = I + K


44

Mc = -I - K


Mc = -I + K

End If


Nc = L - K


Nc = -L - K


Nc = L + K


Nc = -L + K

End If

Form2.Label5i.Caption = "{ x: " & Mc & "/" & J & " < x < " & Nc

& "/" & J & " }"

Form2.Label6i.Caption = "( " & Mc & "/" & J & " , " & Nc & "/"

& J & " )"

Form2.Label7i.Caption = Mc & "/" & J

Form2.Label8i.Caption = Nc & "/" & J

End If

'End of frm6'

'frm7'



Form2.Show



I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


Md = I - K


Md = I + K


Md = -I - K


Md = -I + K

End If


Nd = L - K


Nd = -L - K


Nd = L + K


Nd = -L + K

End If

45

Form2.Label5j.Caption = "{ x: " & Md & "/" & J & " < x <= " &

Nd & "/" & J & " }"

Form2.Label6j.Caption = "( " & Md & "/" & J & " , " & Nd & "/"

& J & " ]"

Form2.Label7j.Caption = Md & "/" & J

Form2.Label8j.Caption = Nd & "/" & J

End If

'End of frm7'

'frm8'



Form2.Show



I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


Ma = I - K


Ma = I + K


Ma = -I - K


Ma = -I + K

End If


Na = L - K


Na = -L - K


Na = L + K


Na = -L + K

End If

Form2.Label5k.Caption = "{ x: " & Ma & "/" & J & " <= x < " &

Na & "/" & J & " }"

Form2.Label6k.Caption = "[ " & Ma & "/" & J & " , " & Na & "/"

& J & " )"

Form2.Label7k.Caption = Ma & "/" & J

Form2.Label8k.Caption = Na & "/" & J

End If

'End of frm8'

46

'frm9'



Form2.Show



I = Val(Form1.T5)

J = Val(Form1.T6)

K = Val(Form1.T7)

L = Val(Form1.T8)


Mb = I - K


Mb = I + K


Mb = -I - K

ElseIf FForm1.Ls5.ListIndex = 1 And Form1.Ls6.ListIndex = 1

Then

Mb = -I + K

End If


Nb = L - K


Nb = -L - K


Nb = L + K


Nb = -L + K

End If

Form2.Label5l.Caption = "{ x: " & Mb & "/" & J & " <= x <= " &

Nb & "/" & J & " }"

Form2.Label6l.Caption = "[ " & Mb & "/" & J & " , " & Nb & "/"

& J & " ]"

Form2.Label7l.Caption = Mb & "/" & J

Form2.Label8l.Caption = Nb & "/" & J

End If

'End of frm9'

'Aljabar 2'

'Aljabar 3'


Form2.Hslfrm4.Visible = True

End If

Ac = Val(T9)

Bc = Val(T10)

Cc = Val(T11)

'pos1'

47

If Ac = Bc And Bc = Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac > Bc And Bc = Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac < Bc And Bc > Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac = Bc And Bc > Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If


Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac < Bc And Bc = Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac > Bc And Bc < Cc Then

Ec = Cc - Bc

Eco1 = Ec & "/" & Ac

End If

If Ac > Cc And Bc < Cc Then

Ec = Cc - Bc

Eco1 = Ec & "/" & Ac

End If

If Ac > Bc And Ac < Cc Then

Ec = Cc - Bc

Eco1 = Ec & "/" & Ac

End If

If Ac > Bc And Bc > Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac < Bc And Bc < Cc Then

Ec = Cc - Bc

Eco1 = Ec & "/" & Ac

End If

If Ac < Cc And Bc > Cc Then

48

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

If Ac < Bc And Ac > Cc Then

Ec = Bc - Cc

Eco1 = Ec & "/" & Ac

End If

'eco1'

'eco2'

If Ac = Bc And Bc = Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac > Bc And Bc = Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac < Bc And Bc > Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If


Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If


Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac < Bc And Bc = Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac > Bc And Bc < Cc Then

Ecc = Cc + Bc

Eco2 = Ecc & "/" & Ac

End If

If Ac > Cc And Bc < Cc Then

Ecc = Cc + Bc

Eco2 = Ecc & "/" & Ac

End If

If Ac > Bc And Ac < Cc Then

49

Ecc = Cc + Bc

Eco2 = Ecc & "/" & Ac

End If

If Ac > Bc And Bc > Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac < Bc And Bc < Cc Then

Ecc = Cc + Bc

Eco2 = Ecc & "/" & Ac

End If

If Ac < Cc And Bc > Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

If Ac < Bc And Ac > Cc Then

Ecc = Bc + Cc

Eco2 = Ecc & "/" & Ac

End If

'eco2'

If Cb5.ListIndex = 0 Then

Form2.Label6.Caption = Ac & "x + " & Bc & " > + " & Cc & " atau

" & Ac & "x + " & Bc & " < " & Cc

Form2.Label7.Caption = Ac & "x > " & Ec & " atau " & Ac & "x <

" & Ecc

Form2.Label8.Caption = "x > " & Eco1 & " atau x < " & Eco2

Form2.Label1.Caption = "{ x : x > " & Eco1 & " } U { x : x < "

& Eco2 & " }"

Form2.Label2.Caption = "( " & Eco1 & ", ~ ] U [ - ~ , " & Eco2

& ")"

Form2.gr2aa.Visible = True

Form2.Label3.Caption = ""

Form2.Label3as.Caption = Eco1

Form2.gr2bb.Visible = True




Form2.Label6.Caption = Ac & "x + " & Bc & " >= + " & Cc & "

atau " & Ac & "x + " & Bc & " <= " & Cc

Form2.Label7.Caption = Ac & "x >= " & Ec & " atau " & Ac & "x

<= " & Ecc

Form2.Label8.Caption = "x >= " & Eco1 & " atau x <= " & Eco2

Form2.Label1.Caption = "{ x : x >= " & Eco1 & " } U { x : x <=

" & Eco2 & " }"

Form2.Label2.Caption = "( " & Eco1 & " , ~ ] U [ - ~ , " & Eco2

& " )"

Form2.gr1aa.Visible = True



50

Form2.gr1bb.Visible = True




Form2.Label6.Caption = Ac & "x + " & Bc & " < + " & Cc & " atau

" & Ac & "x + " & Bc & " > " & Cc

Form2.Label7.Caption = Ac & "x < " & Ec & " atau " & Ac & "x >

" & Ecc

Form2.Label8.Caption = "x < " & Eco1 & " atau x > " & Eco2

Form2.Label1.Caption = "{ x : x < " & Eco1 & " } U { x : x > "

& Eco2 & " }"

Form2.Label2.Caption = "( - ~ , " & Eco1 & " ] U [ " & Eco2 & "

, ~ )"

Form2.gr2a.Visible = True

Form2.Label3.Caption = Eco1

Form2.Label3as.Caption = ""

Form2.gr2b.Visible = True




Form2.Label6.Caption = Ac & "x + " & Bc & " <= + " & Cc & "

atau " & Ac & "x + " & Bc & " >= " & Cc

Form2.Label7.Caption = Ac & "x <= " & Ec & " atau " & Ac & "x

>= " & Ecc

Form2.Label8.Caption = "x <= " & Eco1 & " atau x >= " & Eco2

Form2.Label1.Caption = "{ x : x <= " & Eco1 & " } U { x : x >=

" & Eco2 & " }"

Form2.Label2.Caption = "( - ~ , " & Eco1 & " ] U [ " & Eco2 & "

, ~ )"

Form2.gr1a.Visible = True



Form2.gr1b.Visible = True



End If

'Aljabar 3'

'Trigonometri'


Form2.Hslfrm5.Visible = True

End If

sudut = 180 / 3.14159265358979

Ab = Val(T12)

Bb = Val(T13)

51

If Frame5.Enabled = True And Ab = 90 Or Ab = 270 Then

Ab = 0

ElseIf Frame5.Enabled = True And Bb = 90 Or Bb = 270 Then

Bb = 0

End If

If Frame5.Enabled = True And Lsa.ListIndex = 0 And

Lsc.ListIndex = 0 Then

Fb = Ab + Bb

Gb = Ab - Bb

Eb = 2 * Cos((Fb / sudut) / 2) * Cos((Gb / sudut) / 2)

ElseIf Frame5.Enabled = True And Lsa.ListIndex = 1 And


Fb = -Ab - Bb

Gb = -Ab + Bb

Eb = 2 * Cos((-Fb / sudut) / 2) * Cos((-Gb / sudut) / 2)



Fb = -Ab + Bb

Gb = -Ab - Bb

Eb = 2 * Cos((-Fb / sudut) / 2) * Cos((Gb / sudut) / 2)



Fb = Ab - Bb

Gb = Ab + Bb

Eb = 2 * Cos((Fb / sudut) / 2) * Cos((-Gb / sudut) / 2)

End If



Form2.lst1.Caption = " 2 . COS . 1/2 " & " ( " & Ab & " + "

& Bb & " ) " & " . " & " COS . 1/2 " & "( " & Ab & " - " & Bb &

" )"



Form2.lst1.Caption = " 2 . COS . 1/2 " & " ( " & -Ab & " -

" & Bb & " ) " & " . " & " COS . 1/2 " & "( " & -Ab & " + " &

Bb & " )"



Form2.lst1.Caption = " 2 . COS . 1/2 " & " ( " & -Ab & " +

" & Bb & " ) " & " . " & " COS . 1/2 " & "( " & -Ab & " - " &

Bb & " )"



Form2.lst1.Caption = " 2 . COS . 1/2 " & " ( " & Ab & " - "

& Bb & " ) " & " . " & " COS . 1/2 " & "( " & Ab & " + " & Bb &

" )"

End If

Form2.Lst2.Caption = " 2 . COS . 1/2 " & " ( " & Fb & " ) "

& " . " & " COS . 1/2 " & " ( " & Gb & " )"

Form2.Lst3.Caption = " 2 . COS " & Fb / 2 & " . " & " COS "

& Gb / 2

Form2.Lst4.Caption = " " & Eb

'Trigonometri'

52

End Sub

Private Sub Cmd2_Click()


Label1.Caption = ""

'Peringatan'

a = Val(T1)

b = Val(T2)

c = Val(T3)

d = Val(T4)

I = Val(T5)

J = Val(T6)

K = Val(T7)

L = Val(T8)

q = Val(T14)

w = Val(T15)

t = Val(T16)

Aa = Val(T9)

Ba = Val(T10)

Ca = Val(T11)

Ab = Val(T12)

Bb = Val(T13)

If a > 999 Then

MsgBox "Nilai tidak boleh lebih besar dari 999", vbOKOnly +

vbCritical, "Kesalahan"

T1.Text = ""

Exit Sub

End If

If b > 999 Then



T2.Text = ""

Exit Sub

End If

If c > 999 Then



T3.Text = ""

Exit Sub

End If

If d > 999 Then



T4.Text = ""

Exit Sub

End If

If I > 999 Then

53



T5.Text = ""

Exit Sub

End If

If J > 999 Then



T6.Text = ""

Exit Sub

End If

If K > 999 Then



T7.Text = ""

Exit Sub

End If

If L > 999 Then



T7.Text = ""

Exit Sub

End If

If w > 999 Then



T15.Text = ""

Exit Sub

End If

If t > 999 Then



T16.Text = ""

Exit Sub

End If

If q > 999 Then



T14.Text = ""

Exit Sub

End If

If Aa > 999 Then



T9.Text = ""

Exit Sub

End If

If Ba > 999 Then



T10.Text = ""

54

Exit Sub

End If

If Ca > 999 Then



T11.Text = ""

Exit Sub

End If

If Ab > 999 Then



T12.Text = ""

Exit Sub

End If

If Bb > 999 Then



T13.Text = ""

Exit Sub

End If

aau = Val(gog1)

abu = Val(gog2)

acu = Val(gog3)

If aau >= 10 Then



gog1.Text = ""

Exit Sub

End If

If abu >= 10 Then



gog2.Text = ""

Exit Sub

End If

If acu >= 10 Then



gog3.Text = ""

Exit Sub

End If

If Cb1.ListIndex = 0 And Cb2.Text = "Hubungan" Or Cb1.ListIndex

= 1 And Cb3.Text = "Hubungan" Or Cb1.ListIndex = 1 And Cb4.Text

= "Hubungan" Or Cb1.ListIndex = 2 And Cb5.Text = "Hubungan"

Then

MsgBox "Anda belum memilih hubungan pertaksamaan", vbOKOnly

+ vbCritical, "Kesalahan"

Cmd1.Enabled = False

Exit Sub

End If

55

If Cb1.ListIndex = 0 And Ls1.Text = "" Or Cb1.ListIndex = 0 And

Ls2.Text = "" Or Cb1.ListIndex = 0 And Ls3.Text = "" Or

Cb1.ListIndex = 0 And Ls4.Text = "" Then

MsgBox "Anda belum memilih operator", vbOKOnly +



Exit Sub

End If


Ls6.Text = "" Or Cb1.ListIndex = 1 And Ls7.Text = "" Then




Exit Sub

End If


Ls9.Text = "" Or Cb1.ListIndex = 2 And Ls10.Text = "" Then




Exit Sub

End If

If Cb1.ListIndex = 3 And Lsa.Text = "" Or Cb1.ListIndex = 3 And

Lsc.Text = "" Then




Exit Sub

End If

If Cb1.ListIndex = 4 And Lsd.Text = "" Or Cb1.ListIndex = 4 And

Lse.Text = "" Or Cb1.ListIndex = 4 And Lsf.Text = "" Then




Exit Sub

End If

If Cb1.ListIndex = 0 And E = 0 Then

MsgBox "Ada kesalahan dalam memasukkan input data, silahkan

masukkan angka yang berbeda", vbOKOnly + vbCritical,

"Kesalahan"


T1.Text = "0"

T3.Text = "0"

Exit Sub

End If

If Cb1.ListIndex = 1 And T6 = "0" Then

MsgBox "Nilai x tidak boleh 0", vbOKOnly + vbCritical,

"Kesalahan"


Exit Sub

End If

56

If Cb1.ListIndex = 1 And Ls5.ListIndex = Ls7.ListIndex And T5 =

T8 Then

MsgBox "Nilai tidak boleh sama", vbOKOnly + vbCritical,

"Kesalahan"

T5.Text = "0"

T8.Text = "0"


Exit Sub

End If

If Cb1.ListIndex = 1 And Ls5.ListIndex = 0 And T5 > T8 Or

Cb1.ListIndex = 1 And Ls5.ListIndex = 0 And Ls7.ListIndex = 1

Or Cb1.ListIndex = 1 And Ls5.ListIndex = 1 And Ls7.ListIndex =

1 And T5 < T8 Then

MsgBox "Nilai di sebelah kiri tidak boleh lebih besar dari

nilai di sebelah kanan", vbOKOnly + vbCritical, "Kesalahan"

T5.Text = "0"

T8.Text = "0"


Exit Sub

End If

'Peringatan'

'Eksponen'

q = Val(T14)

w = Val(T15)

t = Val(T16)



Label1.Caption = q & "e^" & gog1 & " + " & w & "e^" & gog2 & "

+ " & t & "e^" & gog3 & " = "



Label1.Caption = -q & "e^" & gog1 & " - " & w & "e^" & gog2 & "

- " & t & "e^" & gog3 & " = "




+ " & t & "e^" & gog3 & " = "




- " & t & "e^" & gog3 & " = "



Label1.Caption = -q & "e^" & gog1 & " - " & w & "e^" & gog2 & "

+ " & t & "e^" & gog3 & " = "



57

Label1.Caption = q & "e^" & gog1 & " - " & w & "e^" & gog2 & "

- " & t & "e^" & gog3 & " = "



Label1.Caption = q & "e^" & gog1 & " - " & w & "e^" & gog2 & "

+ " & t & "e^" & gog3 & " = "



Label1.Caption = -q & "e^" & gog1 & " + " & w & "e^" & gog2 & "

- " & t & "e^" & gog3 & " = "

End If

'Eksponen'

'Aljabar 1'

a = Val(T1)

b = Val(T2)

c = Val(T3)

d = Val(T4)

If Frame1.Enabled = True And Ls1.ListIndex = 0 And

Ls3.ListIndex = 0 Then

E = a - c

ElseIf Frame1.Enabled = True And Ls1.ListIndex = 0 And


E = a + c



E = -a - c



E = -a + c

End If

If Frame1.Enabled = True And Cb2.ListIndex = 0 Then


Ls2.ListIndex = 0 And Ls3.ListIndex = 0 And Ls4.ListIndex = 0

Then

Label1.Caption = a & "x + " & b & " < " & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " < " & c & "x - " &

d



Then

Label1.Caption = a & "x + " & b & " < -" & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " < -" & c & "x - " &

d



Then

58

Label1.Caption = a & "x - " & b & " < " & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " < " & c & "x - " &

d



Then

Label1.Caption = a & "x - " & b & " < -" & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " < -" & c & "x - " &

d



Then

Label1.Caption = "-" & a & "x + " & b & " < " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " < " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x + " & b & " < -" & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " < -" & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " < " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x - " & b & " < " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " < -" & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x - " & b & " < -" & c & "x

- " & d

End If

59

ElseIf Frame1.Enabled = True And Cb2.ListIndex = 1 Then



Then

Label1.Caption = a & "x + " & b & " <= " & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " <= " & c & "x - " &

d



Then

Label1.Caption = a & "x + " & b & " < -" & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " <= -" & c & "x - "

& d



Then

Label1.Caption = a & "x - " & b & " <= " & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " <= " & c & "x - " &

d



Then

Label1.Caption = a & "x - " & b & " <= -" & c & "x + "

& d



Then

Label1.Caption = a & "x - " & b & " <= -" & c & "x - "

& d



Then

Label1.Caption = "-" & a & "x + " & b & " <= " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " <= " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x + " & b & " <= -" & c &

"x + " & d



Then

60

Label1.Caption = "-" & a & "x + " & b & " <= -" & c &

"x - " & d



Then

Label1.Caption = "-" & a & "x - " & b & " <= " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x - " & b & " <= " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " <= -" & c &

"x + " & d



Then

Label1.Caption = "-" & a & "x - " & b & " <= -" & c &

"x - " & d

End If




Then

Label1.Caption = a & "x + " & b & " > " & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " > " & c & "x - " &

d



Then

Label1.Caption = a & "x + " & b & " > -" & c & "x + " &

d



Then

Label1.Caption = a & "x + " & b & " > -" & c & "x - " &

d



Then

Label1.Caption = a & "x - " & b & " > " & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " > " & c & "x - " &

d



Then

61

Label1.Caption = a & "x - " & b & " > -" & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " > -" & c & "x - " &

d



Then

Label1.Caption = "-" & a & "x + " & b & " > " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " > " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x + " & b & " > -" & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " > -" & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " > " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x - " & b & " > " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " > -" & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x - " & b & " > -" & c & "x

- " & d

End If




Then

Label1.Caption = a & "x + " & b & " >= " & c & "x + " &

d



Then

62

Label1.Caption = a & "x + " & b & " >= " & c & "x - " &

d



Then

Label1.Caption = a & "x + " & b & " >= -" & c & "x + "

& d



Then

Label1.Caption = a & "x + " & b & " >= -" & c & "x - "

& d



Then

Label1.Caption = a & "x - " & b & " >= " & c & "x + " &

d



Then

Label1.Caption = a & "x - " & b & " >= " & c & "x - " &

d



Then

Label1.Caption = a & "x - " & b & " >= -" & c & "x + "

& d



Then

Label1.Caption = a & "x - " & b & " >= -" & c & "x - "

& d



Then

Label1.Caption = "-" & a & "x + " & b & " >= " & c & "x

+ " & d



Then

Label1.Caption = "-" & a & "x + " & b & " >= " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x + " & b & " >= -" & c &

"x + " & d



Then

Label1.Caption = "-" & a & "x + " & b & " >= -" & c &

"x - " & d



Then

Label1.Caption = "-" & a & "x - " & b & " >= " & c & "x

+ " & d

63



Then

Label1.Caption = "-" & a & "x - " & b & " >= " & c & "x

- " & d



Then

Label1.Caption = "-" & a & "x - " & b & " >= -" & c &

"x + " & d



Then

Label1.Caption = "-" & a & "x - " & b & " >= -" & c &

"x - " & d

End If

End If

'Aljabar 1'

'Aljabar 2'

I = Val(T5)

J = Val(T6)

K = Val(T7)

L = Val(T8)




Ls6.ListIndex = 0 And Ls7.ListIndex = 0 Then

Label1.Caption = I & " < " & J & "x + " & K & " < " & L



Label1.Caption = I & " < " & J & "x -" & K & " < " & L



Label1.Caption = "-" & I & " < " & J & "x + " & K & " <

" & L



Label1.Caption = "-" & I & " < " & J & "x + " & K & " <

-" & L



Label1.Caption = "-" & I & " < " & J & "x - " & K & " <

" & L



Label1.Caption = "-" & I & " < " & J & "x - " & K & " <

-" & L

End If

ElseIf Frame2.Enabled = True And Cb3.ListIndex = 0 And




64

Label1.Caption = I & " < " & J & "x + " & K & " <= " &

L



Label1.Caption = I & " < " & J & "x -" & K & " <= " & L



Label1.Caption = "-" & I & " < " & J & "x + " & K & "

<= " & L



Label1.Caption = "-" & I & " < " & J & "x + " & K & "

<= -" & L



Label1.Caption = "-" & I & " < " & J & "x - " & K & "

<= " & L



Label1.Caption = "-" & I & " < " & J & "x - " & K & "

<= -" & L

End If





Label1.Caption = I & " <= " & J & "x + " & K & " < " &

L



Label1.Caption = I & " <= " & J & "x -" & K & " < " & L



Label1.Caption = "-" & I & " <= " & J & "x + " & K & "

< " & L




< -" & L



Label1.Caption = "-" & I & " <= " & J & "x - " & K & "

< " & L




< -" & L

End If





Label1.Caption = I & " <= " & J & "x + " & K & " <= " &

L



65

Label1.Caption = I & " <= " & J & "x -" & K & " <= " &

L




<= " & L




<= -" & L




<= " & L




<= -" & L

End If

End If

'Aljabar 2'

'Aljabar 3'

Aa = Val(T9)

Ba = Val(T10)

Ca = Val(T11)

If Frame4.Enabled = True And Cb5.ListIndex = 0 Then



Label1.Caption = " | " & Aa & "x + " & Ba & " | " & " <

" & Ca




" & Ca




-" & Ca




-" & Ca



Label1.Caption = " | " & Aa & "x - " & Ba & " | " & " <

" & Ca




" & Ca




-" & Ca

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Label1.Caption = " | " & " | " & Aa & "x - " & Ba & " |

" & " < -" & Ca



Label1.Caption = " | " & "-" & Aa & "x + " & Ba & " | "

& " < " & Ca




& " < " & Ca




& " < -" & Ca




& " < -" & Ca


Ls9.ListIndex = 1 And LLs10.ListIndex = 0 Then

Label1.Caption = " | " & "-" & Aa & "x - " & Ba & " | "

& " < " & Ca




& " < " & Ca




& " < -" & Ca




& " < -" & Ca

End If




Label1.Caption = " | " & Aa & "x + " & Ba & " | " & "

<= " & Ca




<= " & Ca




-" & Ca




<= -" & Ca



Label1.Caption = " | " & Aa & "x - " & Ba & " | " & "

<= " & Ca

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<= " & Ca




<= -" & Ca




<= -" & Ca




& " <= " & Ca




& " <= " & Ca




& " <= -" & Ca




& " <= -" & Ca




& " <= " & Ca




& " <= " & Ca




& " <= -" & Ca




& " <= -" & Ca

End If




Label1.Caption = " | " & Aa & "x + " & Ba & " | " & " >

" & Ca




" & Ca




-" & Ca

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-" & Ca



Label1.Caption = " | " & Aa & "x - " & Ba & " | " & " >

" & Ca




" & Ca




-" & Ca




-" & Ca




& " > " & Ca




& " > " & Ca




& " > -" & Ca




& " > -" & Ca




& " > " & Ca




& " > " & Ca




& " > -" & Ca




& " > -" & Ca

End If





>= " & Ca

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>= " & Ca




>= -" & Ca




>= -" & Ca




>= " & Ca




>= " & Ca




>= -" & Ca




>= -" & Ca




& " >= " & Ca




& " >= " & Ca




& " >= -" & Ca




& " >= -" & Ca




& " >= " & Ca




& " >= " & Ca




& " >= -" & Ca



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& " >= -" & Ca

End If

End If

'Aljabar 3'

'Trigonometri'

Ab = Val(T12)

Bb = Val(T13)



Label1.Caption = "COS " & Ab & " + COS " & Bb



Label1.Caption = "COS " & -Ab & " + COS " & -Bb



Label1.Caption = "COS " & -Ab & " + COS " & Bb



Label1.Caption = "COS " & Ab & " + COS " & -Bb

End If

'Trigonometri'

Cmd1.Enabled = True

End Sub

Private Sub Form_Load()

Xmili.Caption = "00"

xdetik.Caption = "00"

xmenit.Caption = "00"



Label1.Caption = "Soal Yang Anda Buat"

Cb1.AddItem "Aljabar Contoh Ke -1"



Cb1.AddItem "Trigonometri"

Cb1.AddItem "Eksponensial"

Cb2.AddItem "<"

Cb2.AddItem "<="

Cb2.AddItem ">"

Cb2.AddItem ">="

Cb3.AddItem "<"

Cb3.AddItem "<="

Cb4.AddItem "<"

Cb4.AddItem "<="

Cb5.AddItem "<"

Cb5.AddItem "<="

Cb5.AddItem ">"

Cb5.AddItem ">="

Ls1.AddItem "+"

Ls1.AddItem "-"

Ls2.AddItem "+"

Ls2.AddItem "-"

Ls3.AddItem "+"

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Ls3.AddItem "-"

Ls4.AddItem "+"

Ls4.AddItem "-"

Ls5.AddItem "+"

Ls5.AddItem "-"

Ls6.AddItem "+"

Ls6.AddItem "-"

Ls7.AddItem "+"

Ls7.AddItem "-"

Ls8.AddItem "+"

Ls8.AddItem "-"

Ls9.AddItem "+"

Ls9.AddItem "-"

Ls10.AddItem "+"

Ls10.AddItem "-"

Lsa.AddItem "+"

Lsa.AddItem "-"

Lsc.AddItem "+"

Lsc.AddItem "-"

Lsd.AddItem "+"

Lsd.AddItem "-"

Lse.AddItem "+"

Lse.AddItem "-"

Lsf.AddItem "+"

Lsf.AddItem "-"

T1.Text = ""

T2.Text = ""

T3.Text = ""

T4.Text = ""

T5.Text = ""

T6.Text = ""

T7.Text = ""

T8.Text = ""

Ls8.Text = ""

Ls9.Text = ""

Ls10.Text = ""

T9.Text = ""

T10.Text = ""

T11.Text = ""

Lsa.Text = ""

Lsc.Text = ""

T12.Text = ""

T13.Text = ""

Lsd.Text = ""

Lse.Text = ""

Lsf.Text = ""

T14.Text = ""

T15.Text = ""

T16.Text = ""

gog1.Text = ""

gog2.Text = ""

gog3.Text = ""








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End Sub

'Source Code aplikasi perhitungan bilangan real'

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3.3 Hasil Program

3.3.1 Contoh Soal ke - 1 (Aljabar)

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3.3.2 Contoh Soal ke – 2 (Aljabar)

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3.3.3 Contoh Soal ke – 3 (Aljabar)

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3.3.4 Contoh Soal Trigonometri

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3.3.5 Contoh Soal Eksponensial

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3.3.6 Latihan Soal ke - 1 (Aljabar)

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80


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3.3.9 Latihan Soal Trigonometri

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3.3.10 Latihan Soal Eksponensial

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BAB IV

PENUTUP

4.1 Kesimpulan

Bilangan-bilangan real adalah tinjauan himpunan semua bilangan (rasional dan

irasional) yang dapat mengukur panjang, bersama-sama dengan negatifnya dan nol.

Sistem bilangan real

Bilangan rasional adalah bilangan-bilangan yang dapat dituliskan dalam

bentuk dengan m dan n adalah bilangan-bilangan bulat dengan n ≠ 0.

Bilangan irasional adalah bilangan yang tidak dapat dituliskan sebagai suatu

hasil bagi dari dua bilangan bulat, contoh:

Ketaksamaan ganda menggambarkan selang terbuka yang terdiri dari

semua bilangan antara a dan b,tidak termasuk titik titik ujung a dan b. Sebaliknya

ketaksamaan menggambarkan selang tertutup, yang mencakup titik- titik

ujung a dan b.

Nilai mutlak suatu bilangan real x, dinyatakan dengan |x|, didefinisikan sebagai

Jika

Jika

4.2 Saran

Demikianlah yang dapat kami sajikan kepada pembaca tentang makalah proyek

Sistem Bilangan Real, adapun dalam pengerjaan makalah proyek dan sebagai referensi

kami menggunakan Software VISUAL BASIC Versi 6.0 dan buku Kalkulus Edisi

Kedelapan Jilid 1 serta sumber - sumber lain. Makalah proyek ini kami sajikan secara

bertahap, mulai dari pengenalan teori, contoh soal latihan , latihan soal , algoritma , list

program dan hasil program , sehingga makalah proyek ini dapat mempermudah

pembaca dalam mengikuti panduan penggunaan dari Program tersebut. Akhir kata, kami

berharap mudah - mudahan makalah proyek ini kami dapat bermanfaat dan bakerja

dengan baik apabila digunakan dikemudian hari, dan seutas saran juga sangat berharga

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bagi kami dalam pengembangan makalah dan program kedepanya. Apabila diproyek

dan dimakalah ini terdapat kesalahan kami mohon maaf sebesar-besarnya.

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DAFTAR PUSTAKA

Purcell, Edwin J., Dale Vanberg., Steven E Rigdon. Kalkulus Edisi Kedelapan

Jilid 1. Jakarta: Erlangga, 2003.

Leithold Louis. Kalkulus dan Ilmu Ukur Analitik Edisi Kelima Jilid 2. Jakarta:

Erlangga, 1993.

Soedadyatmodjo. Buku Materi Pokok Trigonometri. Jakarta: Universitas

Terbuka, 1986.

Buku kompilasi Matematika I

proyek sistem bilangan real

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