Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt Calculate dx dt dy dt || = || by first finding || " dz dt Now use the chain rule to calculate the following: dw dt and using the chain rule.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Let w(x, y, z) = x² + y² + x² where x = sin(2t), y = cos( – 7t), z = e
e-8t.
Calculate
dx
dt
dy
dt
=
||
||
||
dw
dt
=
by first finding
dx dy
dt' dt
&
dz
dt
Now use the chain rule to calculate the following:
dw
dt
dz
dt
and using the chain rule.
Transcribed Image Text:Let w(x, y, z) = x² + y² + x² where x = sin(2t), y = cos( – 7t), z = e e-8t. Calculate dx dt dy dt = || || || dw dt = by first finding dx dy dt' dt & dz dt Now use the chain rule to calculate the following: dw dt dz dt and using the chain rule.
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