Consider the solid Q shown in the figure: x² + 2z = 4/ A) I = 5.8211 B) I = 3.0575 C) I=4.7124 D) I= 6.2832 X x² + y² = 4 Let S be the boundary of the solid Q (that is, the union of all the surfaces that make up the solid). If 2 I N 1 = [1₁₂₁³₁ F.nds, where n is the unit normal vector outside S and F (x, y, z) = (-2x, 3y cos²(x), 3z sin²(x)), then:
Consider the solid Q shown in the figure: x² + 2z = 4/ A) I = 5.8211 B) I = 3.0575 C) I=4.7124 D) I= 6.2832 X x² + y² = 4 Let S be the boundary of the solid Q (that is, the union of all the surfaces that make up the solid). If 2 I N 1 = [1₁₂₁³₁ F.nds, where n is the unit normal vector outside S and F (x, y, z) = (-2x, 3y cos²(x), 3z sin²(x)), then:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:Consider the solid Q shown in the figure:
z,
x² + 2z = 4
2² + y? = 4
Y
Let S be the boundary of the solid Q (that is, the union of all the surfaces that make up the
solid). If
F. η dS ,
S
where n is the unit normal vector outside S and F (x, y, z) = (-2x, 3y cos²(x), 3z sin?(x)),
then:
A) I = 5.8211
B) I= 3.0575
C)I= 4.7124
D) I = 6.2832
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