Interpret the divergence of a vector field.
Step 1 of 3
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: Calculus: Early Transcendentals
Author: William L. Briggs
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. The full step-by-step solution to problem: 2 from chapter: 14.5 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. Since the solution to 2 from 14.5 chapter was answered, more than 232 students have viewed the full step-by-step answer. The answer to “Interpret the divergence of a vector field.” is broken down into a number of easy to follow steps, and 7 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2.