. Given the relationship between Cartesian and cylindrical coordinates (p, p, z), x = p cos y y = p sin o and the relationship between Cartesian unit vectors and cylindrical unit vec- tors (p, e, k) : i = cos op – sin pộ j = sin yp + cos pp k = k Prove that se pap Te dz 1af Vf(p,e, 2) =
. Given the relationship between Cartesian and cylindrical coordinates (p, p, z), x = p cos y y = p sin o and the relationship between Cartesian unit vectors and cylindrical unit vec- tors (p, e, k) : i = cos op – sin pộ j = sin yp + cos pp k = k Prove that se pap Te dz 1af Vf(p,e, 2) =
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Transcribed Image Text:. Given the relationship between Cartesian and cylindrical coordinates (p, p, z),
x = p cos y
y = p sin o
z = z
and the relationship between Cartesian unit vectors and cylindrical unit vec-
tors (p, , k) :
i = cos pp – sin pp
j = sin yp + cos v
k = k
Prove that
Te
dz
af
1df
V f(p,4, z) =
-2.
др
pap
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