Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and as functions of x, y, s and t. B. Find the numerical values of and when (s, t) = (4,4). z (4, 4) = (4,4)

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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Suppose z = x² sin y, x =
A. Use the chain rule to find
Əz
Əs
дz
Ət
||
ila
-
−4s² + t², y = -2st.
дz ·(4, 4) =
=
Ət
Əz
Əs
əz
B. Find the numerical values of and when (s, t) = (4, 4).
Ət
Əz
az (4,4)=
and as functions of x, y, s and t.
Oz
Ət
Transcribed Image Text:Suppose z = x² sin y, x = A. Use the chain rule to find Əz Əs дz Ət || ila - −4s² + t², y = -2st. дz ·(4, 4) = = Ət Əz Əs əz B. Find the numerical values of and when (s, t) = (4, 4). Ət Əz az (4,4)= and as functions of x, y, s and t. Oz Ət
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