In each of 1 through 8, compute the requested derivative in two ways, first by using rules (1) through (6) as appropriate, and second by carrying out the vector operation and then differentiating the resulting vector or scalar functionF(t)= 9i+ t 2 j + t 2 k,G(t)=et i;(d/dt)[F(t) G(t)]

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...