Consider the following. w = √36 - 2x² - 2y², x = r cos(8), y = rsin(0) (a) Find aw/or and aw/00 by using the appropriate Chain Rule. aw ər aw ae (b) Find aw/or and aw/00 by converting w to a function of r and before differentiating. aw ər ?w ae II II

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Consider the following.
w = √36 - 2x² - 2y², x=r
(a) Find aw/or and aw/08 by using the appropriate Chain Rule.
дw
ər
aw
20
=
aw
20
x = r cos(8), y = r sin(0)
(b) Find aw/or and aw/00 by converting w to a function of r and before differentiating.
дw
ər
=
11
Transcribed Image Text:Consider the following. w = √36 - 2x² - 2y², x=r (a) Find aw/or and aw/08 by using the appropriate Chain Rule. дw ər aw 20 = aw 20 x = r cos(8), y = r sin(0) (b) Find aw/or and aw/00 by converting w to a function of r and before differentiating. дw ər = 11
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