Solve the problem.The function f(x) = 4?x2 describes the volume, f(x), of a right circular cylinder of height 4 feet and radius x feet. If the radius is changing, find the instantaneous rate of change of the volume with respect to the radius when the radius is 7 feet. Leave answer in terms of ?.
A. 8? cubic feet per feet
B. 56? cubic feet per feet
C. 14? cubic feet per feet
D. 28? cubic feet per feet
Answer: B
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Which of the following is not involved when finding the distance between two points?? ?
A. ?The Distance Formula B. ?The Pythagorean Theorem C. ?The Mid-Point Formula D. Finding the hypotenuse of a right triangle.? E. None of the above.?
Solve the problem.The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.
A. 
B. 
C. 
D. 
Provide an appropriate response.Formulate the dual problem for the linear programming problem:Minimize C = 3x1 + x2subject to 
A.
| Maximize | P = 60y1 + 40y2 |
B.
| Maximize | P = 3y1 + y2 |
C.
| Maximize | P = 60y1 + 40y2 |
D.
| Maximize | P = 3y1 + y2 |
Find the common difference for the arithmetic sequence.3, 5, 7, 9, ...
A. -2 B. 0.02 C. 6 D. 2