Theory and Examples

Establish the fact, widely used in hydrodynamics, that if ƒ(x, y, z) = 0 then

(Hint: Express all the derivatives in terms of the formal partial derivatives

Calculus notes of 9/26/16 3.11 Related Rates Suppose a spherical weather balloon is filled with gas at a rate of 150 ft /min. What is the rate of change of its radius when the radius is 20 ft We are given / = 150: Volume increases by 150 ft /min. 3 dt dr We want / whedtr = 20 We need an equation relating...