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.)
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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 V to r. 3 For a sphere, V = 4/3ᴨr dv 2 dr Different Rating time / = 4/3dt* 3r / (implicitdtifferentiation) 2 Or V’ = 4/3ᴨ * 3r r’ Solving for / , dt = dt(4ᴨr ) * /2 dvdt = 1/(4ᴨ * 20 ) * 150 = (3/32ᴨ) ft/min = 0.02984 ft/min Procedure: 1. Identify known rates and desired rates. Label what you alread
Author: James Stewart
Since the solution to 8 from 14 chapter was answered, more than 272 students have viewed the full step-by-step answer. This full solution covers the following key subjects: attacking, CAUCHY, exercise, fsx, function. This expansive textbook survival guide covers 16 chapters, and 250 solutions. The answer to “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.)” is broken down into a number of easy to follow steps, and 59 words. Calculus was written by and is associated to the ISBN: 9781285740621. The full step-by-step solution to problem: 8 from chapter: 14 was answered by , our top Calculus solution expert on 11/10/17, 05:27PM. This textbook survival guide was created for the textbook: Calculus, edition: 8.