The path C is a line segment of length 15 in the plane starting at (3,4). For f(x,y)=4x+3y, 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=___ y= ___ (b) What is the maximum value of the integral? maximum value = ___

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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The path C is a line segment of length 15 in the plane starting at (3,4). For f(x,y)=4x+3y, 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=___ y= ___
(b) What is the maximum value of the integral?
maximum value = ___

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