(b) The function f depends on u, v and t so that f(u,v,t)=u²+v+2t It is further given that (i) u=x+y-2z Calculate v=4x-2y-z x = 2t y=t² z=5 Evaluate fr. fy and f, in terms of x, y and z.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(b)
The function f depends on u, v and t so that
It is further given that
(i)
f(u, v,t)=u²+ v + 2t
(ii)
u= x+y=2z
Calculate
v=4x-2y-z
x = 2t
y=t²
z=5
Evaluate fx. fy and f, in terms of x, y and z.
Transcribed Image Text:(b) The function f depends on u, v and t so that It is further given that (i) f(u, v,t)=u²+ v + 2t (ii) u= x+y=2z Calculate v=4x-2y-z x = 2t y=t² z=5 Evaluate fx. fy and f, in terms of x, y and z.
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