Question

Problem 2: (20 points) (a) (10 points) Linearize $y = 3cos(2\theta)$ about $\theta = \frac{\pi}{4}$. (b) (10 points) Show your result on a plot of y vs. $\theta$ $y = 3cos(2\theta) + \frac{3\pi}{2}sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$ $\theta = \frac{\pi}{4}$ $y = 3cos(\frac{\pi}{2}) + (\frac{3\pi}{2})sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$ $y = 2.99 + (\frac{3\pi}{2}) - 0 = 8.70$

          Problem 2: (20 points)
(a) (10 points) Linearize $y = 3cos(2\theta)$ about $\theta = \frac{\pi}{4}$.
(b) (10 points) Show your result on a plot of y vs. $\theta$
$y = 3cos(2\theta) + \frac{3\pi}{2}sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$
$\theta = \frac{\pi}{4}$
$y = 3cos(\frac{\pi}{2}) + (\frac{3\pi}{2})sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$
$y = 2.99 + (\frac{3\pi}{2}) - 0 = 8.70$

Problem 2: (20 points)
(a) (10 points) Linearize y = 3cos(2θ) about θ = (π)/(4).
(b) (10 points) Show your result on a plot of y vs. θ
y = 3cos(2θ) + (3π)/(2)sin((π)/(2))(θ - (π)/(4))
θ = (π)/(4)
y = 3cos((π)/(2)) + ((3π)/(2))sin((π)/(2))(θ - (π)/(4))
y = 2.99 + ((3π)/(2)) - 0 = 8.70

Added by Briana C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Paul Gabriel

Step 1

a) To linearize the function y = 3cos(2θ) about θ = π/4, we need to find the first derivative of the function with respect to θ and evaluate it at θ = π/4. Show more…

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