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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Question
Transcribed Image Text:Suppose z = x² sin y, x = −2s² — 5t², y = -4st.
A. Use the chain rule to find
əz
Əs
дz
Ət
Əz
მs
-8.xs sin (y) - 4xtx cos (y)
=
Əz
and as functions of x, y, s and t.
Ət
2
-4x²s cos (y) — 20xt sin y
B. Find the numerical values of
дz
Əs
əz
-(2, 3)
= 49610.97
(2,3) = -5658.09
Əz
and when (s, t) = (2, 3).
Ət
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