2A_01_NurisyabanAziezah
7
No.1 %Pecahkanlah persamaan linier tiga variabel berikut ini: %x + 2y – 3z = 2 %4x + 5y + 6z = -5,5 %7x + 8y - 9z = -49 %jawab: %membuat matriks A A=[1 2 -3;4 5 6;7 8 -9]; %membuat matriks B B=[2;-5.5;-49]; %menghitung x cara ke-1 x=inv(A)*[B] %menghitung x cara ke-2 x=A^-1*B %menghitung x cara ke-3 x=A\B x= -20.5000 13.5000 1.5000 x = -20.5000 13.5000 1.5000 x = -20.5000 13.5000 1.5000 No.2 %Carilah solusi dari persamaan lingkaran berikut ini: %y = (25+x.^2).^0.5 untuk -10<x<5 , dengan inkremen x sebesar 0,05. %Setelah itu, tampilkanlah nilai y pada rentang x = 0 hingga x = 1 saja. %jawab: %membuat vektor x x=[-10:0.05:5]'; %menghitung y y=(25-x.^2).^0.5; %menghitung panjang vektor x panjang=length(x); titik_tengah=round(panjang/2); %menentukan indeks untuk x=0 hingga x=1 awal=titik_tengah+2.5/0.05; akhir=awal+1/0.05; %menampilkan nilai y pada rentang x=0 hingga x=1 saja [x(awal:akhir),y(awal:akhir)] ans = 0 5.0000 0.0500 4.9997 0.1000 4.9990 0.1500 4.9977 0.2000 4.9960 0.2500 4.9937 0.3000 4.9910 0.3500 4.9877 0.4000 4.9840
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No.1
%Pecahkanlah persamaan linier tiga variabel berikut ini:%x + 2y – 3z = 2%4x + 5y + 6z = -5,5%7x + 8y - 9z = -49
%jawab:
%membuat matriks AA=[1 2 -3;4 5 6;7 8 -9];
%membuat matriks BB=[2;-5.5;-49];
%menghitung x cara ke-1x=inv(A)*[B]
%menghitung x cara ke-2x=A^-1*B
%menghitung x cara ke-3x=A\B
x=
-20.5000
13.5000
1.5000
x =
-20.5000
13.5000
1.5000
x =
-20.5000
13.5000
1.5000
No.2
%Carilah solusi dari persamaan lingkaran berikut ini: %y = (25+x.^2).^0.5 untuk -10<x<5 , dengan inkremen x sebesar 0,05. %Setelah itu, tampilkanlah nilai y pada rentang x = 0 hingga x = 1 saja.
%jawab:%membuat vektor xx=[-10:0.05:5]';
%menghitung yy=(25-x.^2).^0.5;
%menghitung panjang vektor xpanjang=length(x);titik_tengah=round(panjang/2);
%menentukan indeks untuk x=0 hingga x=1awal=titik_tengah+2.5/0.05;akhir=awal+1/0.05;
%menampilkan nilai y pada rentang x=0 hingga x=1 saja [x(awal:akhir),y(awal:akhir)]
ans = 0 5.0000 0.0500 4.9997 0.1000 4.9990 0.1500 4.9977 0.2000 4.9960 0.2500 4.9937 0.3000 4.9910 0.3500 4.9877 0.4000 4.9840 0.4500 4.9797 0.5000 4.9749 0.5500 4.9697 0.6000 4.9639 0.6500 4.9576 0.7000 4.9508 0.7500 4.9434 0.8000 4.9356 0.8500 4.9272 0.9000 4.9183 0.9500 4.9089 1.0000 4.8990
%Buatlah tabel hiperbolik-trigonometri: sinh, cosh, dan tanh
%untuk rentang -10<x<10 , dengan inkremen x sebesar 0,1.
%jawab:
% membuat vektor xx=-10:0.1:10;sinus=sin(x); cosinus=cos(x); tangent=tan(x);
%menampilkan tabel hiperbolik-trigonometridisp('Tabel hiperbolik-trigonometri:'), ...disp('x sin cos tan'), ...disp('--------------------------------')[x' sinus' cosinus' tangent']
Tabel hiperbolik-trigonometri:
x sin cos tan
--------------------------------
ans =
-10.0000 0.5440 -0.8391 -0.6484 -9.9000 0.4575 -0.8892 -0.5146 -9.8000 0.3665 -0.9304 -0.3939 -9.7000 0.2718 -0.9624 -0.2824 -9.6000 0.1743 -0.9847 -0.1770 -9.5000 0.0752 -0.9972 -0.0754 -9.4000 -0.0248 -0.9997 0.0248 -9.3000 -0.1245 -0.9922 0.1254 -9.2000 -0.2229 -0.9748 0.2286 -9.1000 -0.3191 -0.9477 0.3367 -9.0000 -0.4121 -0.9111 0.4523 -8.9000 -0.5010 -0.8654 0.5789 -8.8000 -0.5849 -0.8111 0.7211 -8.7000 -0.6630 -0.7486 0.8856 -8.6000 -0.7344 -0.6787 1.0820 -8.5000 -0.7985 -0.6020 1.3264 -8.4000 -0.8546 -0.5193 1.6457 -8.3000 -0.9022 -0.4314 2.0914 -8.2000 -0.9407 -0.3392 2.7737 -8.1000 -0.9699 -0.2435 3.9824 -8.0000 -0.9894 -0.1455 6.7997 -7.9000 -0.9989 -0.0460 21.7151 -7.8000 -0.9985 0.0540 -18.5068 -7.7000 -0.9882 0.1534 -6.4429 -7.6000 -0.9679 0.2513 -3.8523
-7.5000 -0.9380 0.3466 -2.7060 -7.4000 -0.8987 0.4385 -2.0493 -7.3000 -0.8504 0.5261 -1.6166 -7.2000 -0.7937 0.6084 -1.3046 -7.1000 -0.7290 0.6845 -1.0649 -7.0000 -0.6570 0.7539 -0.8714 -6.9000 -0.5784 0.8157 -0.7091 -6.8000 -0.4941 0.8694 -0.5683 -6.7000 -0.4048 0.9144 -0.4428 -6.6000 -0.3115 0.9502 -0.3279 -6.5000 -0.2151 0.9766 -0.2203 -6.4000 -0.1165 0.9932 -0.1173 -6.3000 -0.0168 0.9999 -0.0168 -6.2000 0.0831 0.9965 0.0834 -6.1000 0.1822 0.9833 0.1853 -6.0000 0.2794 0.9602 0.2910 -5.9000 0.3739 0.9275 0.4031 -5.8000 0.4646 0.8855 0.5247 -5.7000 0.5507 0.8347 0.6597 -5.6000 0.6313 0.7756 0.8139 -5.5000 0.7055 0.7087 0.9956 -5.4000 0.7728 0.6347 1.2175 -5.3000 0.8323 0.5544 1.5013 -5.2000 0.8835 0.4685 1.8856 -5.1000 0.9258 0.3780 2.4494 -5.0000 0.9589 0.2837 3.3805 -4.9000 0.9825 0.1865 5.2675
-4.8000 0.9962 0.0875 11.3849 -4.7000 0.9999 -0.0124 -80.7128 -4.6000 0.9937 -0.1122 -8.8602 -4.5000 0.9775 -0.2108 -4.6373 -4.4000 0.9516 -0.3073 -3.0963 -4.3000 0.9162 -0.4008 -2.2858 -4.2000 0.8716 -0.4903 -1.7778 -4.1000 0.8183 -0.5748 -1.4235 -4.0000 0.7568 -0.6536 -1.1578 -3.9000 0.6878 -0.7259 -0.9474 -3.8000 0.6119 -0.7910 -0.7736 -3.7000 0.5298 -0.8481 -0.6247 -3.6000 0.4425 -0.8968 -0.4935 -3.5000 0.3508 -0.9365 -0.3746 -3.4000 0.2555 -0.9668 -0.2643 -3.3000 0.1577 -0.9875 -0.1597 -3.2000 0.0584 -0.9983 -0.0585 -3.1000 -0.0416 -0.9991 0.0416 -3.0000 -0.1411 -0.9900 0.1425 -2.9000 -0.2392 -0.9710 0.2464 -2.8000 -0.3350 -0.9422 0.3555 -2.7000 -0.4274 -0.9041 0.4727 -2.6000 -0.5155 -0.8569 0.6016 -2.5000 -0.5985 -0.8011 0.7470 -2.4000 -0.6755 -0.7374 0.9160 -2.3000 -0.7457 -0.6663 1.1192 -2.2000 -0.8085 -0.5885 1.3738 -2.1000 -0.8632 -0.5048 1.7098 -2.0000 -0.9093 -0.4161 2.1850 -1.9000 -0.9463 -0.3233 2.9271 -1.8000 -0.9738 -0.2272 4.2863 -1.7000 -0.9917 -0.1288 7.6966 -1.6000 -0.9996 -0.0292 34.2325 -1.5000 -0.9975 0.0707 -14.1014 -1.4000 -0.9854 0.1700 -5.7979 -1.3000 -0.9636 0.2675 -3.6021 -1.2000 -0.9320 0.3624 -2.5722 -1.1000 -0.8912 0.4536 -1.9648 -1.0000 -0.8415 0.5403 -1.5574 -0.9000 -0.7833 0.6216 -1.2602 -0.8000 -0.7174 0.6967 -1.0296 -0.7000 -0.6442 0.7648 -0.8423 -0.6000 -0.5646 0.8253 -0.6841 -0.5000 -0.4794 0.8776 -0.5463 -0.4000 -0.3894 0.9211 -0.4228 -0.3000 -0.2955 0.9553 -0.3093 -0.2000 -0.1987 0.9801 -0.2027 -0.1000 -0.0998 0.9950 -0.1003
0 0 1.0000 0 0.1000 0.0998 0.9950 0.1003 0.2000 0.1987 0.9801 0.2027 0.3000 0.2955 0.9553 0.3093 0.4000 0.3894 0.9211 0.4228 0.5000 0.4794 0.8776 0.5463 0.6000 0.5646 0.8253 0.6841 0.7000 0.6442 0.7648 0.8423 0.8000 0.7174 0.6967 1.0296 0.9000 0.7833 0.6216 1.2602 1.0000 0.8415 0.5403 1.5574 1.1000 0.8912 0.4536 1.9648 1.2000 0.9320 0.3624 2.5722 1.3000 0.9636 0.2675 3.6021 1.4000 0.9854 0.1700 5.7979 1.5000 0.9975 0.0707 14.1014 1.6000 0.9996 -0.0292 -34.2325 1.7000 0.9917 -0.1288 -7.6966 1.8000 0.9738 -0.2272 -4.2863 1.9000 0.9463 -0.3233 -2.9271 2.0000 0.9093 -0.4161 -2.1850 2.1000 0.8632 -0.5048 -1.7098 2.2000 0.8085 -0.5885 -1.3738 2.3000 0.7457 -0.6663 -1.1192 2.4000 0.6755 -0.7374 -0.9160 2.5000 0.5985 -0.8011 -0.7470 2.6000 0.5155 -0.8569 -0.6016 2.7000 0.4274 -0.9041 -0.4727 2.8000 0.3350 -0.9422 -0.3555 2.9000 0.2392 -0.9710 -0.2464 3.0000 0.1411 -0.9900 -0.1425 3.1000 0.0416 -0.9991 -0.0416 3.2000 -0.0584 -0.9983 0.0585 3.3000 -0.1577 -0.9875 0.1597 3.4000 -0.2555 -0.9668 0.2643 3.5000 -0.3508 -0.9365 0.3746 3.6000 -0.4425 -0.8968 0.4935 3.7000 -0.5298 -0.8481 0.6247 3.8000 -0.6119 -0.7910 0.7736 3.9000 -0.6878 -0.7259 0.9474 4.0000 -0.7568 -0.6536 1.1578 4.1000 -0.8183 -0.5748 1.4235 4.2000 -0.8716 -0.4903 1.7778 4.3000 -0.9162 -0.4008 2.2858 4.4000 -0.9516 -0.3073 3.0963 4.5000 -0.9775 -0.2108 4.6373 4.6000 -0.9937 -0.1122 8.8602 4.7000 -0.9999 -0.0124 80.7128
4.8000 -0.9962 0.0875 -11.3849 4.9000 -0.9825 0.1865 -5.2675 5.0000 -0.9589 0.2837 -3.3805 5.1000 -0.9258 0.3780 -2.4494 5.2000 -0.8835 0.4685 -1.8856 5.3000 -0.8323 0.5544 -1.5013 5.4000 -0.7728 0.6347 -1.2175 5.5000 -0.7055 0.7087 -0.9956 5.6000 -0.6313 0.7756 -0.8139 5.7000 -0.5507 0.8347 -0.6597 5.8000 -0.4646 0.8855 -0.5247 5.9000 -0.3739 0.9275 -0.4031 6.0000 -0.2794 0.9602 -0.2910 6.1000 -0.1822 0.9833 -0.1853 6.2000 -0.0831 0.9965 -0.0834 6.3000 0.0168 0.9999 0.0168 6.4000 0.1165 0.9932 0.1173 6.5000 0.2151 0.9766 0.2203 6.6000 0.3115 0.9502 0.3279 6.7000 0.4048 0.9144 0.4428 6.8000 0.4941 0.8694 0.5683 6.9000 0.5784 0.8157 0.7091 7.0000 0.6570 0.7539 0.8714 7.1000 0.7290 0.6845 1.0649 7.2000 0.7937 0.6084 1.3046 7.3000 0.8504 0.5261 1.6166 7.4000 0.8987 0.4385 2.0493
7.5000 0.9380 0.3466 2.7060 7.6000 0.9679 0.2513 3.8523 7.7000 0.9882 0.1534 6.4429 7.8000 0.9985 0.0540 18.5068 7.9000 0.9989 -0.0460 -21.7151 8.0000 0.9894 -0.1455 -6.7997 8.1000 0.9699 -0.2435 -3.9824 8.2000 0.9407 -0.3392 -2.7737 8.3000 0.9022 -0.4314 -2.0914 8.4000 0.8546 -0.5193 -1.6457 8.5000 0.7985 -0.6020 -1.3264 8.6000 0.7344 -0.6787 -1.0820 8.7000 0.6630 -0.7486 -0.8856 8.8000 0.5849 -0.8111 -0.7211 8.9000 0.5010 -0.8654 -0.5789 9.0000 0.4121 -0.9111 -0.4523 9.1000 0.3191 -0.9477 -0.3367 9.2000 0.2229 -0.9748 -0.2286 9.3000 0.1245 -0.9922 -0.1254 9.4000 0.0248 -0.9997 -0.0248 9.5000 -0.0752 -0.9972 0.0754 9.6000 -0.1743 -0.9847 0.1770 9.7000 -0.2718 -0.9624 0.2824 9.8000 -0.3665 -0.9304 0.3939 9.9000 -0.4575 -0.8892 0.5146 10.0000 -0.5440 -0.8391 0.6484
