Part B dy Since y(t) can be expressed as a product of two functions, y(t) = f(t) · g(t) where f(t) = you at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate find the derivative with respect to t of f(t) = you¯at. However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to dt ▸ View Available Hint(s) Уо α -at df dt 0 (since yo is a constant) -ayoe Yoe-at -at -atyoe-at

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part B
dy
Since y(t) can be expressed as a product of two functions, y(t) = f(t) · g(t) where f(t) = you at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate
find the derivative with respect to t of f(t) = you¯at.
However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to
dt
▸ View Available Hint(s)
Уо
α
-at
df
dt
0 (since yo is a constant)
-ayoe
Yoe-at
-at
-atyoe-at
Transcribed Image Text:Part B dy Since y(t) can be expressed as a product of two functions, y(t) = f(t) · g(t) where f(t) = you at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate find the derivative with respect to t of f(t) = you¯at. However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to dt ▸ View Available Hint(s) Уо α -at df dt 0 (since yo is a constant) -ayoe Yoe-at -at -atyoe-at
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