Find the maximum value of F. dr. where F= 2xy²1+ (22-6xy²)j + (4y - 2x2y) k and C is a simple closed curve in the plane 3x+y+z=6 oriented counterclockwise as seen from high on the z-axis. What curve C gives this maximum? C The maximum value of the xy-plane is (Type an exact answer) O F-dris which occurs when C is the boundary of the plane region & in 3x+y+z=6 whose projection onto

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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of $c F.dr. where F= 2xy21+ (22-6xy2)j + (4y - 2x2y) k and C is a simple closed curve in the plane
Find the maximum value of
3x+y+z=6 oriented counterclockwise as seen from high on the z-axis. What curve C gives this maximum?
#$!
F.dr is, which occurs when C is the boundary of the plane region & in 3x+y+z=6 whose projection onto
The maximum value of
the xy-plane is
(Type an exact answer)
Transcribed Image Text:of $c F.dr. where F= 2xy21+ (22-6xy2)j + (4y - 2x2y) k and C is a simple closed curve in the plane Find the maximum value of 3x+y+z=6 oriented counterclockwise as seen from high on the z-axis. What curve C gives this maximum? #$! F.dr is, which occurs when C is the boundary of the plane region & in 3x+y+z=6 whose projection onto The maximum value of the xy-plane is (Type an exact answer)
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