Josephood7

Let [math] and [math], and [math].

(a) Calculate the primary derivatives

[math] 
[math] 
[math] 

(b) Calculate

[math] 
[math] 
[math] 

(c) Use the Chain Rule to compute

[math] 
In (c) express your answer in terms of the independent variables [math]

Calculate the derivative using implicit differentiation: [math]

[math] 

Note: You can earn partial credit on this problem.

The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 3 inches per second. At what rate is the volume of the cone changing when the radius is 40 inches and the height is 50 inches?

 cubic inches per second