8 Consider the ellipse C obtained by the intersection of the cylindrical surface of equation 9 with the plane with equation z x² + y² F(x, y, z) plane z = = (A) 9π (B) 0 _ y + x = 0. The work of the vector field (−y²/2, −z, −xz) along C, walked once such that its projection onto the 0 is counterclockwise oriented, equals: (C) 9/√√3 (D) 27π

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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the correct answer is A could you show me why

 

8 Consider the ellipse C obtained by the intersection of the cylindrical surface of equation
9 with the plane with equation z
x² + y²
F(x, y, z)
plane z
=
=
(A) 9π
(B) 0
_
y + x =
0. The work of the vector field
(−y²/2, −z, −xz) along C, walked once such that its projection onto the
0 is counterclockwise oriented, equals:
(C) 9/√√3
(D) 27π
Transcribed Image Text:8 Consider the ellipse C obtained by the intersection of the cylindrical surface of equation 9 with the plane with equation z x² + y² F(x, y, z) plane z = = (A) 9π (B) 0 _ y + x = 0. The work of the vector field (−y²/2, −z, −xz) along C, walked once such that its projection onto the 0 is counterclockwise oriented, equals: (C) 9/√√3 (D) 27π
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