The path C is a line segment of length 13 in the plane starting at (4,5). For f(x,y)=5x+12y, consider ∫C∇f⋅dr⃗ . (a) Where should the other end of the line segment C be placed to maximize the value of the integral? At x=____ and y=____ (b)What is the maximum value of the integral?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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The path C is a line segment of length 13 in the plane starting at (4,5). For f(x,y)=5x+12y, consider
∫C∇f⋅dr⃗ .
(a) Where should the other end of the line segment C be placed to maximize the value of the integral?

At x=____ and y=____

(b)What is the maximum value of the integral?

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