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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
Textbook: Single Variable Calculus
Author: James W Nilsson
Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. This full solution covers the following key subjects: evaluate. This expansive textbook survival guide covers 11 chapters, and 637 solutions. The answer to “Evaluate: (a” is broken down into a number of easy to follow steps, and 2 words. The full step-by-step solution to problem: 8 from chapter: 4 was answered by , our top Calculus solution expert on 11/15/17, 04:21PM. Since the solution to 8 from 4 chapter was answered, more than 245 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7.