). Let R be the region composed of points in R³ that are inside the sphere x² + y² + z² = 5, above the cone z = √3x² + 3y², and have y ≥ 0. Set up, but do not evaluate the integral in spherical coordinates. A. G √5 [** [*³ [*³ p² sin(6) dpdøde c2π r -5 B. √5 I² I³ I ptan(o) dpdøde [*[*** ptan(6) dpdøde L² D. [ f*² ¶¯ ¶³ [²³² p² tan(6) dpdøde C. √5 5 E. [*[*psin² (6) cos(6) dpdode dV

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. Let R be the region composed of points in R³ that are inside the sphere x² + y² + z² = 5, above
the cone z = √3x² + 3y2, and have y ≥ 0. Set up, but do not evaluate the integral
in spherical coordinates.
2πT
IT T
LIT
•2πT
A.
B.
C.
D.
E.
π
√5
5
p² sin(o) dpdøde
ptan(o) dpdøde
√5
ptan(o) dpdøde
√5
[ ³² p²tan (6) dpdøde
0
5
[***psin² (6) cos(4) dpdøde
JJS 20
dV
Transcribed Image Text:10. Let R be the region composed of points in R³ that are inside the sphere x² + y² + z² = 5, above the cone z = √3x² + 3y2, and have y ≥ 0. Set up, but do not evaluate the integral in spherical coordinates. 2πT IT T LIT •2πT A. B. C. D. E. π √5 5 p² sin(o) dpdøde ptan(o) dpdøde √5 ptan(o) dpdøde √5 [ ³² p²tan (6) dpdøde 0 5 [***psin² (6) cos(4) dpdøde JJS 20 dV
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