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Let : F = (6x²y + 2y³ + 8eª)i + (6e³² +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.)

Let : F = (6x²y + 2y³ + 8eª)i + (6e³² +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.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let F = (6x²y + 2y³ + 8eª)i + (6eª² +54x) j. Consider the line integral of 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:Let F = (6x²y + 2y³ + 8eª)i + (6eª² +54x) j. Consider the line integral of 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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