4/3 J48 -x? 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. b v q If J=[ ] ]rzdz dr de , then -z dz dr de , then 0 0 p q = v = b = βμω (ii) If 3 sin ()) cos (4) dp do do , then 0 0 0 B= (iii) J= Use only integers or fully reduced fractions. II

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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--ITI-
4/3 J48-x? 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.
b
v g
(i) If J=
z dz dr de , then
0 0
p =
q =
V =
b =
βμω
(ii) If
sin (4) cos (4) dp dø d0 , then
0 0 0
B=
0 =
(iii) J=
Use only integers or fully reduced fractions.
Transcribed Image Text:--ITI- 4/3 J48-x? 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. b v g (i) If J= z dz dr de , then 0 0 p = q = V = b = βμω (ii) If sin (4) cos (4) dp dø d0 , then 0 0 0 B= 0 = (iii) J= Use only integers or fully reduced fractions.
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