Q1/Solve of the following: A. If f (u,v,w) is a function and u-x-y, v=y-z and wz-x. Prove that C. If w=f(x,y) and x=r. cose, y = r.sine. Prove that af dx af af B. If f (x,y,z)=x+2y+z² and x=y=r² + Ins, z=2r. Find and ər əs aw ar 1 (dw de ar ar dy dz = fx + fy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Q1/ Solve
of the following:
A. If f (u,v,w) is a function and u-x-y, v-y-z and wz-x. Prove that
B. If f(x,y,z)=x+2y+z² and x=y=r² + Ins, z=2r. Find
C. If w=f(x,y) and x = r. cose, y = r. sine. Prove that
aw
ər
+
af ar ar
ах ду дz
af af
and
ər əs
1 (dw
де
=
fx + fy
Transcribed Image Text:Q1/ Solve of the following: A. If f (u,v,w) is a function and u-x-y, v-y-z and wz-x. Prove that B. If f(x,y,z)=x+2y+z² and x=y=r² + Ins, z=2r. Find C. If w=f(x,y) and x = r. cose, y = r. sine. Prove that aw ər + af ar ar ах ду дz af af and ər əs 1 (dw де = fx + fy
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