3) Find ôu/ôx, ôu/ôy and ôulôz for u = 9-r p= x+ y+z, q = x- y+z, r =x+y-z at the point (x, y, z)= (V3,2,1) Ans. u, =0, u, =1, u. =-2

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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p-4
3) Find ôu/ ôx, ôuloy and ôu / ôz for u=
9-r
p= x+y+z,
q = x- y+z, r= x+y-z at the point (x, y, z)=(/3,2,1)
Ans. u =0, u, =1, u̟ =-2
4) Find ôw/ ôr if w=(x+ y+z}, x=r-s, y= cos(r+s), z = sin(r+s) at
the point (r,s)= (1,-1)
Ans. 12
5)
Find ôw/ôv if w=x +(y/x), x=u-2v+1, and y=2u + v – 2, at the
point (u, v)= (0,0)
Ans. -7
6) Find ôzl ôu and ôzlôv if z=5 tan (x) and x= e" + In v at the point
(u, v)= (In 2,1)
Ans. z, = 2, z, =1
Find dy / dx at the given point for the following functions
1) x - 2y +xy = 0, (1,1)
Ans. 4/3
2) x* +xy+ y* -7=0, (1,2)
Ans. -4/5
Transcribed Image Text:p-4 3) Find ôu/ ôx, ôuloy and ôu / ôz for u= 9-r p= x+y+z, q = x- y+z, r= x+y-z at the point (x, y, z)=(/3,2,1) Ans. u =0, u, =1, u̟ =-2 4) Find ôw/ ôr if w=(x+ y+z}, x=r-s, y= cos(r+s), z = sin(r+s) at the point (r,s)= (1,-1) Ans. 12 5) Find ôw/ôv if w=x +(y/x), x=u-2v+1, and y=2u + v – 2, at the point (u, v)= (0,0) Ans. -7 6) Find ôzl ôu and ôzlôv if z=5 tan (x) and x= e" + In v at the point (u, v)= (In 2,1) Ans. z, = 2, z, =1 Find dy / dx at the given point for the following functions 1) x - 2y +xy = 0, (1,1) Ans. 4/3 2) x* +xy+ y* -7=0, (1,2) Ans. -4/5
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