?For the following exercises, use the familiar formula from geometry to find the length
Chapter 1, Problem 234(choose chapter or problem)
For the following exercises, use the familiar formula from geometry to find the length of the curve and then confirm using the definite integral.
Verify that if \(y=r \sin \theta=f(\theta) \sin \theta\) then \(\frac{d y}{d \theta}=f^{\prime}(\theta) \sin \theta+f(\theta) \cos \theta\).
Text Transcription:
y=r sin theta=f(theta) sin theta
dy/dtheta = f^prime(theta) sin theta+f(theta) cos theta
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