Let F = (6x²y + 2y³ +3e)i + (7e +54x) 3. Consider the line integral of Faround the circle of radius a, centered at the origin and traversed counterclockwise. (a) Find the line integral for a = 1. line integral = (b) For which value of a is the line integral a maximum? a (Be sure you can explain why your answer gives the correct maximum.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Let F = (6x²y + 2y³ + 3e)i + (7e² +54x). Consider the line integral of Faround
the circle of radius a, centered at the origin and traversed counterclockwise.
(a) Find the line integral for a = 1.
line integral =
(b) For which value of a is the line integral a maximum?
a=
(Be sure you can explain why your answer gives the correct maximum.)
Transcribed Image Text:Let F = (6x²y + 2y³ + 3e)i + (7e² +54x). Consider the line integral of Faround the circle of radius a, centered at the origin and traversed counterclockwise. (a) Find the line integral for a = 1. line integral = (b) For which value of a is the line integral a maximum? a= (Be sure you can explain why your answer gives the correct maximum.)
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