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/ 16-if-x-rsincos-y-rsinsin-z-rcos-and-u-u-x-y-z-then-prove-that-xu-2-pa878
(Solved): 16. If x=rsincos,y=rsinsin,z=rcos and U=U(x,y,z), then prove that (xU)2+( ...
16. If
x
=
r
sin
?
cos
?
,
y
=
r
sin
?
sin
?
,
z
=
r
cos
?
and
U
=
U
(
x
,
y
,
z
)
, then prove that
(
?
x
?
U
?
)
2
+
(
?
y
?
U
?
)
2
+
(
?
z
?
U
?
)
2
=
(
?
r
?
U
?
)
2
+
(
r
1
?
?
?
?
U
?
)
2
+
(
r
s
i
n
?
1
?
?
?
?
U
?
)
2
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