1. Verify Green's theorem in the plane for $ (3x2- 8y,dx + (4y - 6xy)dy, where C is the boundary of the region defined by: (a) y = Vx, y = x2; (b) x= 0, y= 0, x+y = 1. Ans. (a) common value = 3/2 (b) common value = 5/3 2. Verify Green's theorem in the plane for (3x + 4y) dx + (2x -- 3y)dy where C, a circle of radius two with center at the origin of the xy plane, is traversed in the positive sense. Ans. - 8TT

1. Verify Green's theorem in the plane for $ (3x2- 8y,dx + (4y - 6xy)dy, where C is the boundary of the region defined by: (a) y = Vx, y = x2; (b) x= 0, y= 0, x+y = 1. Ans. (a) common value = 3/2 (b) common value = 5/3 2. Verify Green's theorem in the plane for (3x + 4y) dx + (2x -- 3y)dy where C, a circle of radius two with center at the origin of the xy plane, is traversed in the positive sense. Ans. - 8TT

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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