BEGIN BY MAKING YOUR OWN BINGO CARD. GIVE YOURSELF A FREE SPACE IN THE MIDDLE AND THEN PUT THESE 24 ANSWERS IN THE BINGO CARD WHEREVER YOU WISH. AS YOU ANSWER THE BINGO QUESTIONS, PUT AN X ON EACH SPACE THAT IS A SOLUTION. WHEN YOU GET 5 IN A ROW, YOU WIN!
-‐1 20000 1
3 0 9 15 -‐10
-‐15 4 5
78 2 11 −25
−150
43
12
225
22
−49
−22
133
−12
f (x) =2x + b, x ≤ 5x2, x > 5
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What value of b will make the function continuous?
4.
ANSWER: 15
A snowball is melting at a rate of 2π cm3/min. At what rate is the radius changing when the radius is 5?
5.
A snowball is melting at a rate of 2π cm3/min. At what rate is the radius changing when the radius is 5?
5.
ANSWER: −150
f (x) = x3 − 2x2 + 5
Where does the graph of the derivative of f(x) have a maximum or minimum?
6.
ANSWER: 43
A reindeer farmer wants to use 400 feet of fence to make a pen of maximum area to hold his reindeer. He will use a side of the barn as one side of the pen. What is the largest area that can be enclosed?
8.
A reindeer farmer wants to use 400 feet of fence to make a pen of maximum area to hold his reindeer. He will use a side of the barn as one side of the pen. What is the largest area that can be enclosed?
8.
ANSWER: 20000
A particle moves along a straight line so that its position is represented by s(t) = t2-4t+3.
14.
How far did the particle travel from t = 1 to t = 4?
A particle moves along a straight line so that its position is represented by s(t) = t2-4t+3.
14.
How far did the particle travel from t = 1 to t = 4?
ANSWER: 5
At what x-value is there a relative minimum value for the function f(x) = 5 + 15x + 6x2 –x3
15.
ANSWER: -‐1
It is a little known fact that Santa actually sends out two sleighs on Christmas Eve. One travels west at a constant velocity of 50 miles per hour and a second sleigh travels south at a constant velocity of 60 miles per hour. How fast is the distance between them changing after 30 minutes?
20.
It is a little known fact that Santa actually sends out two sleighs on Christmas Eve. One travels west at a constant velocity of 50 miles per hour and a second sleigh travels south at a constant velocity of 60 miles per hour. How fast is the distance between them changing after 30 minutes?
20.
ANSWER: 78
At what positive value of x does f(x) have a removable discontinuity?
21.
f (x) = 2x3 + x2 − 25x +122x3 +3x2 − 23x −12
At what positive value of x does f(x) have a removable discontinuity? 21.
f (x) = 2x3 + x2 − 25x +122x3 +3x2 − 23x −12
ANSWER: 3
If f(3) = 5 and f’(3) = -2, what is the y-intercept of the tangent line to y = f(x) at x = 3?
23.
ANSWER: 11
If f(x) = 8x – x3, find the value of c that is guaranteed by the Mean Value Theorem over the interval (1, 3).
24.
If f(x) = 8x – x3, find the value of c that is guaranteed by the Mean Value Theorem over the interval (1, 3).
24.
ANSWER: 133