Previous Problem List Next ‚ Let F = (6x²y + 2y³ + 7e²)i + (5ex² +54x) j. Consider the line integral of F around 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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‚ Let F = (6x²y + 2y³ +7e*)+(5e² +54x)]. Consider the line integral of F around 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:Previous Problem List Next ‚ Let F = (6x²y + 2y³ +7e*)+(5e² +54x)]. Consider the line integral of F around 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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