4/3 148 - x? J64 – x² - y? +8 Let J= z dz dy dx - 4/3 (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,p,0). (iii) Evaluate the integral J. b v q (i) If J= rz dz dr de , then 0 0 p p = q = v = b = sin (4) cos (4) dp dø d0 , then 0 0 0 B = (iii) J=
4/3 148 - x? J64 – x² - y? +8 Let J= z dz dy dx - 4/3 (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,p,0). (iii) Evaluate the integral J. b v q (i) If J= rz dz dr de , then 0 0 p p = q = v = b = sin (4) cos (4) dp dø d0 , then 0 0 0 B = (iii) J=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4/3 J48-x² J64 -x² -y? +8
Let J=
z dz dy dx
– 4 /3
13 (x? +y?)
(i) Express the integral J in Cylindrical Coordinates (r,0,z).
(ii) Express the integral J in Spherical Coordinates (p,q,0).
(iii) Evaluate the integral J.
V
q
(i) If J=
rz dz dr de , then
0 0 p
p =
q =
V =
b =
βμω
(ii) If
sin (4) cos (4) dp dø do , then
0 0 0
B =
(iii) J=
Use only integers or fully reduced fractions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cd2d665-daee-46b8-ac4c-2b4cec66538a%2F1aae7be2-6ec2-493c-bd10-c5916c0bcd5b%2Fq7lo9s8_processed.png&w=3840&q=75)
Transcribed Image Text:4/3 J48-x² J64 -x² -y? +8
Let J=
z dz dy dx
– 4 /3
13 (x? +y?)
(i) Express the integral J in Cylindrical Coordinates (r,0,z).
(ii) Express the integral J in Spherical Coordinates (p,q,0).
(iii) Evaluate the integral J.
V
q
(i) If J=
rz dz dr de , then
0 0 p
p =
q =
V =
b =
βμω
(ii) If
sin (4) cos (4) dp dø do , then
0 0 0
B =
(iii) J=
Use only integers or fully reduced fractions.
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