Find the maximum value of integral over a simple closed curve in a plane oriented counterclockwise as seen from high on the z-axis. What curve C gives this
Find the maximum value of integral over a simple closed curve in a plane oriented counterclockwise as seen from high on the z-axis. What curve C gives this
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Find the maximum value of
Transcribed Image Text:Find the maximum value of
C
F• dr, where F = 9xy²i+ (4z - 9xy ) j+ (5y - 3x y) k and C is a simple closed curve in the plane 3x + 3y +z = 8 oriented
counterclockwise as seen from high on the z-axis. What curve C gives this maximum?
...
The maximum value of
F•dr is , which occurs when C is the boundary of the plane region & in 3x + 3y +z = 8 whose projection onto the xy-plane is
x +y s
3
(Type an exact answer.)
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