Find the average rate of change for the function between the given values.f(x) = 7x3 - 5x2 - 3; from -4 to 8
A. 
B. 474
C. 
D. 316
Answer: D
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Provide an appropriate response.Let f(x) = 
(a) Does f'(0) exist? (b) Does f'(4) exist? (c) Does f'(-4) exist? (d) Determine all extrema of f.
What will be an ideal response?
Solve the problem.
Find the ratio of the volume of the cylinder to the volume of the hemisphere, given that the height, h, of the cylinder is equal to the diameter, d, of the hemisphere.
A. 3 : 2 B. 3 : 4 C. 2 : 3 D. 3 : 1
Use the two steps for solving a linear programming problem to solve the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $7, takes up 7 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 10 square feet, and holds 15 cubic feet. He has only $94 to spend and the office has room for no more than 100 square feet of cabinets. He wants to have at least one of each type of cabinet. How many of each can he buy to maximize storage capacity?
A. 0 cabinet A and 13 cabinet B B. 10 cabinet A and 3 cabinet B C. 13 cabinet A and 0 cabinet B D. 3 cabinet A and 10 cabinet B
Solve the problem.If 
converges, what can be said about 
, where k is an integer greater than 1?
A. The series always diverges. B. The series always converges. C. The series may converge or diverge.