1.The volume of a circular cone is V = (1/3)?r²h, where r is the radius of the base and h is the height.
a. What is the rate of change of the volume with respect to the height if the radius is constant?
b. What is the rate of change of the volume with respect to the radius if the height is constant?
2.Marginal Cost Functions
The weekly total cost incurred by the Electra Electronics Company in producing its Zephyr laser jet printers is given by
C(x) = 0.000002x3 0.02x2 +1000x + 120000
dollars, where x stands for the number of units produced.
a. Find the marginal cost function C and the marginal average
cost function ?.
b. Compute ?(5000), and interpret your results