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# Solved: In each of 1 through 10, determine whether F is conservative in the given region

ISBN: 9781111427412 173

## Solution for problem 12.35 Chapter 12

Advanced Engineering Mathematics | 7th Edition

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Advanced Engineering Mathematics | 7th Edition

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Problem 12.35

In each of 1 through 10, determine whether F is conservative in the given region D. If D is not defined explicitly, it is understood to be the entire plane or 3-space. If the vector field is conservative, find a potential.F = 16xi + (2 y2 )j

Step-by-Step Solution:
Step 1 of 3

Overview week of 9/12/16 3.3 Rules of Differentiation Power of X: d n (n­1) Power Rule: / Xdx= nX Quotient Rule: / f(x)/g(x) = [(f(x) * g(x)) – (f(x) * g(x))] / [g(x)] 2 dx Product Rule: / [dxx) * g(x)] = [f(x) * g’(x)] + [g(x) * f’(x)] Chain Rule: / [dxg(x))] = [f(g(x))]’ * g’(x) Constant Multiple: Power rule d /dx(cf(x)) = c * f ’(x) 3.4...

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Solved: In each of 1 through 10, determine whether F is conservative in the given region

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