Consider the (u, y, z) defined by x = parabolic cylindrical coordinate system 1/12 (4²_v²), y = uv ) Z = Z Let 4= 4(x₁y₁z) be an arbitrary scalar function and let A²= A x ²x + Ay²y + Azez be a vector. Find the expressions 724 A 767A, 7x²7. J

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Consider the
(u, V, Z) defined by
parabolic cylindrical coordinate system
x = = (u²-x²),
y=uv,
Let 4= 4(x, y, z) be
an arbitrary scalar function and
let A = Ax ²x + Ayey + Azez be a vector. Find the expressions
767A x ²,7²4
J
J
Z = Z
Transcribed Image Text:Consider the (u, V, Z) defined by parabolic cylindrical coordinate system x = = (u²-x²), y=uv, Let 4= 4(x, y, z) be an arbitrary scalar function and let A = Ax ²x + Ayey + Azez be a vector. Find the expressions 767A x ²,7²4 J J Z = Z
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