Show that the maximum value of the function fsx, yd sax 1 by 1 cd 2 x 2 1 y 2 1 1 is a2 1 b2 1 c 2 . Hint: One method for attacking this problem is to use the Cauchy-Schwarz Inequality: | a ? b | < | a | | b | (See Exercise 12.3.61.)

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...