20. 7 (xx + y), x= st, y=st s= 1, t = 1 %3D %3D

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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Number 20
In Exercises 19- 22, functons z =
f(x,y), x = 9(s, t) and
y= h(s, t) are given.
dz
(a) Use the Multivariable Chain Rule to compute
and
ds
az
at
dz
and
at
(b) Evaluate
at the Indicated s and t values.
19. z = xy,
x=S -t,
y= 2s + 4t;
s= 1, t = 0
os (*x +y), *= st', y= st;
s= 1,t = 1
20. = cos
21. z = x +y', *= s cost, y = ssin t, s= 2, t = 1/4
22. z = e**, x=t, y= st; s= 1,t = 1
x = t, y= st, s=1,t = 1
Transcribed Image Text:In Exercises 19- 22, functons z = f(x,y), x = 9(s, t) and y= h(s, t) are given. dz (a) Use the Multivariable Chain Rule to compute and ds az at dz and at (b) Evaluate at the Indicated s and t values. 19. z = xy, x=S -t, y= 2s + 4t; s= 1, t = 0 os (*x +y), *= st', y= st; s= 1,t = 1 20. = cos 21. z = x +y', *= s cost, y = ssin t, s= 2, t = 1/4 22. z = e**, x=t, y= st; s= 1,t = 1 x = t, y= st, s=1,t = 1
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