This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able back to the skipped part. Tutorial Exercise Find aw/as and aw/at by using the appropriate Chain Rule. w = x cos yz, x = s2, y = t2, z = s - 5t Step 1 aw by using the Chain Rule on each term. as Find aw as aw ay aw əz az əs aw əx + %3D ax as ay as (v2)?) - ( x cos (yz) - xy sin(yz) s = cos(yz)- 1: sin(y:) )) :-5t - 5t Step 2

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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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come
back to the skipped part.
Tutorial Exercise
Find aw/ds and aw/at by using the appropriate Chain Rule.
w = x cos yz, x = s², y = t², z = s – 5t
Step 1
aw
by using the Chain Rule on each term.
Əs
Find
Əw ax
ax as
aw az
дw ду
+
ây as
az əs
aw
as
= cos(yz)s?) - ( x cos (yz)
xz sin(y:)
-(t²) – xy sin(yz)
as
s – 5t
as
Əs
s - 5t
Step 2
Substitute the values of x, y, and z and find the partials with respect to s.
aw
cos(yz)(s2) – xz sin(yz)(t2) – xy sin(yz)(s – 5t)
as
Əs
əs
əs
- 2s cos(7(s–5) – 3?Psin(? - (s– 50) *
Submit
Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find aw/ds and aw/at by using the appropriate Chain Rule. w = x cos yz, x = s², y = t², z = s – 5t Step 1 aw by using the Chain Rule on each term. Əs Find Əw ax ax as aw az дw ду + ây as az əs aw as = cos(yz)s?) - ( x cos (yz) xz sin(y:) -(t²) – xy sin(yz) as s – 5t as Əs s - 5t Step 2 Substitute the values of x, y, and z and find the partials with respect to s. aw cos(yz)(s2) – xz sin(yz)(t2) – xy sin(yz)(s – 5t) as Əs əs əs - 2s cos(7(s–5) – 3?Psin(? - (s– 50) * Submit Skip (you cannot come back)
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