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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 60
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 60

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# Solved: Electric potential The potential function for the

ISBN: 9780321947345 167

## Solution for problem 60 Chapter 14.5

Calculus: Early Transcendentals | 2nd Edition

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Problem 60

Electric potential The potential function for the force field due to a charge q at the origin is w = 1 4pe0 q _ r _ , where r = 8x, y, z9 is the position vector of a point in the field and e0 is the permittivity of free space. a. Compute the force field F = -_w. b. Show that the field is irrotational; that is _ * F = 0.

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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

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##### ISBN: 9780321947345

This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. Since the solution to 60 from 14.5 chapter was answered, more than 234 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 60 from chapter: 14.5 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. The answer to “Electric potential The potential function for the force field due to a charge q at the origin is w = 1 4pe0 q _ r _ , where r = 8x, y, z9 is the position vector of a point in the field and e0 is the permittivity of free space. a. Compute the force field F = -_w. b. Show that the field is irrotational; that is _ * F = 0.” is broken down into a number of easy to follow steps, and 73 words.

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