dw For the functions w=-3x² + 3y2, x= cost, and y=sint, express as a function of t, both by using the chain rule dt and by expressing w in terms of t and differentiating directly with respect to t. Then evaluate Express as a function of t. dw dt dw dt Evaluate dw dt t= 4 dw dt at t= T 4 (Type an exact answer, using radicals as needed.) dw dt at t= R

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
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Question
4
For the functions w=-3x² + 3y²,
and by expressing w in terms of t and differentiating directly with respect to t. Then evaluate
dw
Express as a function of t.
dt
dw
dt
Evaluate
dw
dt
A
4
dw
dt
dw
, x= cost, and y = sint, express as a function of t, both by using the chain rule
dt
at t=
T
4
(Type an exact answer, using radicals as needed.)
dw
dt
at t =
R
4
Transcribed Image Text:For the functions w=-3x² + 3y², and by expressing w in terms of t and differentiating directly with respect to t. Then evaluate dw Express as a function of t. dt dw dt Evaluate dw dt A 4 dw dt dw , x= cost, and y = sint, express as a function of t, both by using the chain rule dt at t= T 4 (Type an exact answer, using radicals as needed.) dw dt at t = R 4
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