Let Ci be the rectangle with vertices (0,0), (2,0), (0,1), and (2,1) oriented counterclockwise, and let I1= 1 [xe*+yx²] dx + [4yeY +xy²] dy. Let C, be the oriented curve parametrized by r(t)= (1,cos(t),sin(t)>, Osts2n. Let F(x,y,z)= (x©y,x?/7,2y+7>, and let I2= F.dr. Choose the TWO correct statements below. [Suggestion: Use Stokes' Theorem and/or Green's Theorem and the fact that C, is the circle in the plane X = 1 with radius 1 centered at the origin, (0,0,0).] I2=-21 I2= 4 I2= T/2 Iz=2e2-2e I1=-2e? I1=-2e I1=-2

Let Ci be the rectangle with vertices (0,0), (2,0), (0,1), and (2,1) oriented counterclockwise, and let I1= 1 [xe*+yx²] dx + [4yeY +xy²] dy. Let C, be the oriented curve parametrized by r(t)= (1,cos(t),sin(t)>, Osts2n. Let F(x,y,z)= (x©y,x?/7,2y+7>, and let I2= F.dr. Choose the TWO correct statements below. [Suggestion: Use Stokes' Theorem and/or Green's Theorem and the fact that C, is the circle in the plane X = 1 with radius 1 centered at the origin, (0,0,0).] I2=-21 I2= 4 I2= T/2 Iz=2e2-2e I1=-2e? I1=-2e I1=-2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let Ci be the rectangle with vertices (0,0), (2,0), (0,1), and (2,1) oriented counterclockwise, and let
I1=
1 [xe*+yx²] dx + [4yeY +xy?] dy.
Let C, be the oriented curve parametrized by
r(t)= (1,cos(t),sin(t)>, Osts2n.
Let F(x,y,z)= (x©y,x?/7,2y+7>, and let I2=
F.dr.
Choose the TWO correct statements below.
[Suggestion: Use Stokes' Theorem and/or Green's Theorem and the fact that C, is the circle in the plane X = 1 with radius 1 centered at the origin, (0,0,0).]
I2=-21
I2=
4
I2= T/2
Iz=2e2-2e
I1=-2e?
I1=-2e
I1=-2

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