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in Differential Equations by (20 points)
Find radius of curvature y=4sinx - sin2x at x=π/2

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https://www.sarthaks.com/?qa=blob&qa_blobid=4071056031749175635

I hope you find your answer in the given link

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by (54.9k points)

To find the radius of curvature of the curve

\(y = 4\sin x-\sin2x\)

at point \(x = \pi/2\)

Step 1: find y'

\(\frac{dy}{dx} = y' = 4\cos x - 2\cos2x\)

Step 2: find y"

\(\frac{d^2y}{dx^2} = y'' = -4\sin x+4\sin2x\)

Step 3: Apply the formula 

 

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