Suppose T = f(x, y) = 50+y. Write down the chain rule in the appropriate variables and use it to compute dT if x = x(t) = 2 cos(t) and y = y(t) = sin(t). Express your answer as a function of dt t. Chain rule written in appropriate variables:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
Topic Video
Question
Suppose T = f (x, y) = 50+ xy. Write down the chain rule in the appropriate variables and
dT
use it to compute
if x = x(t) = 2 cos(t) and y
dt
y(t) :
sin(t). Express your answer as a function of
t.
ƏT
Chain rule written in appropriate variables:
Final answer:
Transcribed Image Text:Suppose T = f (x, y) = 50+ xy. Write down the chain rule in the appropriate variables and dT use it to compute if x = x(t) = 2 cos(t) and y dt y(t) : sin(t). Express your answer as a function of t. ƏT Chain rule written in appropriate variables: Final answer:
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