The region W is the cone shown below. The angle at the vertex is +/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = Volume = S SS b = d = and f = d d 7 d
The region W is the cone shown below. The angle at the vertex is +/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = Volume = S SS b = d = and f = d d 7 d
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 23E
Related questions
Question
![The region W is the cone shown below.
The angle at the vertex is π/3, and the top is flat and at a height of 4√/3.
Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry):
(a) Cartesian:
With a =
C =
e =
d
Volume = SS S
Så Sé
b
and f =
d
d
d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4925b9d-2ae2-46b0-9c20-5af2d59ecda4%2F3526cacd-6396-4f43-b1e2-55b6fcee1398%2Fa9ltar_processed.png&w=3840&q=75)
Transcribed Image Text:The region W is the cone shown below.
The angle at the vertex is π/3, and the top is flat and at a height of 4√/3.
Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry):
(a) Cartesian:
With a =
C =
e =
d
Volume = SS S
Så Sé
b
and f =
d
d
d
![(a) Cartesian:
With a =
C =
e =
Volume =
(b) Cylindrical:
With a =
C =
e=
eb ed
· Se
d
Volume = SS S
(c) Spherical:
With a =
C =
e =
Volume =
eb ed
Sa Se Se
b= =
d=
and f= =
9
||
d =
and f =
b=
d =
and f=
d
d
d
d
d
d
d
d
d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4925b9d-2ae2-46b0-9c20-5af2d59ecda4%2F3526cacd-6396-4f43-b1e2-55b6fcee1398%2Fwn98rppc_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Cartesian:
With a =
C =
e =
Volume =
(b) Cylindrical:
With a =
C =
e=
eb ed
· Se
d
Volume = SS S
(c) Spherical:
With a =
C =
e =
Volume =
eb ed
Sa Se Se
b= =
d=
and f= =
9
||
d =
and f =
b=
d =
and f=
d
d
d
d
d
d
d
d
d
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