For the vector field F(x,y) =(2xy²+2y)-i+(2x²y+2x)•j a) show that_F_is conservative vector field; b) find a potential function for_F: c) evaluate F -dr where C_is the line segment from A (0,3) to B(5, -2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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For the vector field
F(x,y) =(2xy²+2y)-i+(2x²y+2x)•j
a) show that_F_is conservative vector field;
b) find a potential function for_F:
c) evaluate F -dr
where C_is the line segment from A (0,3)
to B(5, -2)
Transcribed Image Text:For the vector field F(x,y) =(2xy²+2y)-i+(2x²y+2x)•j a) show that_F_is conservative vector field; b) find a potential function for_F: c) evaluate F -dr where C_is the line segment from A (0,3) to B(5, -2)
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