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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 58E

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Question

Cal 3

Let C' be the positively oriented circle x² + y² = 1. Use
Green's Theorem to evaluate the line integral
l
C
9y dx + 13x dy.

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Use Green’s theorem to evaluate the line integral 2x2y dx + 6x3 dy, where C is the circle x2+y2 = 4, traversed counterclockwise.
Use Green's Theorem to evaluate the line integral ∫c ( x − y ) dx + ( x + y ) dy where C is the circle x2 + y2 = 9 with positive orientation.
Let C denote the circle of radius 1 in R2centered at the origin, oriented counterclockwise.for which F(x, y) = <1,y> Compute F*dr
Evaluate ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9 with positive direction using Green's Theorem.
Use Green’s Theorem to evaluate the line integral ∫_c (x+ 2y^3)dx + (2x − 3y)dy where C is the positively oriented, simple closed curve given by the circle x^2 + y^2 = 16
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