Expand each of the following polynomials in a series of Legendre polynomials. (a) 1 + 2x x 2 (b) 2x + x 2 5x 3 (c) 2 x 2 + 4x 4

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...