Let I- (VxG) ndo, where G(x.y,z)=(ze*-y,4x,z*) and S is the part ofi the surface z=/x²+6y²+1 that lies inside the cylinder +3y²=1 with upward orientation. Let I2- where F(x.y.z)= and C is the parallelogram in space with vertices (2,-1,1), (1,0,1), (3,0,3), and (2,1,3) oriented counter-clockwise when viewed from above. Note that the parallelogram lies on the plane z=x+y. Chocse the TWO correct statements. Iz= o2=-6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let I=
(V×G)·ndo, where G(x,y,z)=(ze*-y,4x,z4> and S is the part of the surface z=Vx2+6y²+1 that lies inside the cylinder
*+3y2=1 with upward orientation.
Let Iz= [F dr,
dr, where F(x,y,z)=<y+z,2x - z,2y) and C is the parallelogram in space with vertices (2,– 1,1), (1,0,1), (3,0,3), and (2,1,3) oriented counter-clockwise when viewed from above.
Note that the parallelogram lies on the plane z=x +y.
Choose the TWO correct statements.
Iz=0
I2=4
2
Iz=
V3
I2= -6
I1 3
I2=3
5/2
I =
I2=V7
I2=-2
Transcribed Image Text:Let I= (V×G)·ndo, where G(x,y,z)=(ze*-y,4x,z4> and S is the part of the surface z=Vx2+6y²+1 that lies inside the cylinder *+3y2=1 with upward orientation. Let Iz= [F dr, dr, where F(x,y,z)=<y+z,2x - z,2y) and C is the parallelogram in space with vertices (2,– 1,1), (1,0,1), (3,0,3), and (2,1,3) oriented counter-clockwise when viewed from above. Note that the parallelogram lies on the plane z=x +y. Choose the TWO correct statements. Iz=0 I2=4 2 Iz= V3 I2= -6 I1 3 I2=3 5/2 I = I2=V7 I2=-2
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