H.W: Use the chain rule to find the derivative === with x = cos² t, y = sin² t, z = - at t = 3 dw xy of w==+= dt Z and determine the value of " dw dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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H.W: Use the chain rule to find the derivative
X
of w=
(an)
Z
1
with x = cos² t, y = sin² t, z =
dw
and determine the value of
2
dt
at t = 3
H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=eo prove that
aw/ar = e²r/w and aw/80 = e²0/w
5
dw
+
y
Transcribed Image Text:H.W: Use the chain rule to find the derivative X of w= (an) Z 1 with x = cos² t, y = sin² t, z = dw and determine the value of 2 dt at t = 3 H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=eo prove that aw/ar = e²r/w and aw/80 = e²0/w 5 dw + y
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