Use Green's Theorem to evaluateF. dr. (Check the orientation of the curve before applying the theorem.)F(x, y) = (e2x + x²y, e²y – xy2)C is the circle x² + y² = 4 oriented clockwise

TO EVALUATE -∫F.dr USING GREEN'S THEOREM FOR CLOCKWISE ROTATION REGION C = CIRCLE OF EQUATION…

F. dr. (Check the orientation of the curve before applying the theorem.) Jc Use Green's Theorem to evaluate F(x, y) 3D (е2х + х2у, е2у — C is the circle x2 + y2 = 4 oriented clockwise xy2) %3D

F. dr. (Check the orientation of the curve before applying the theorem.) Jc Use Green's Theorem to evaluate F(x, y) 3D (е2х + х2у, е2у — C is the circle x2 + y2 = 4 oriented clockwise xy2) %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 64E

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Use Green's Theorem to evaluate
F. dr. (Check the orientation of the curve before applying the theorem.)
F(x, y) = (e2x + x²y, e²y – xy2)
C is the circle x² + y² = 4 oriented clockwise

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