Let w(x, y, z) = x² + y² + 2² where x = dz dy dz dw dt & and using the chain rule. dt dt dt Calculate = by first finding 11 sin(9t), y = cos(2t), z = est dt Now use the chain rule to calculate the following: dw dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let w(x, y, z) = x² + y² +2² where x = sin(9t), y = cos(2t), z = est
dw
dt
Calculate
dx
dt
dt
11
=
by first finding
11
dz
dx dy
& and using the chain rule.
dt dt dt
.
Now use the chain rule to calculate the following:
dw
dt
Transcribed Image Text:Let w(x, y, z) = x² + y² +2² where x = sin(9t), y = cos(2t), z = est dw dt Calculate dx dt dt 11 = by first finding 11 dz dx dy & and using the chain rule. dt dt dt . Now use the chain rule to calculate the following: dw dt
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