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Algebra & Trigonometry with Analytic Geometry

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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Question

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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