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If x=a(cost+tsint) and y=a(sint-tcost),f...

If `x=a(cost+tsint)` and `y=a(sint-tcost)`,find(d^2y)/(dx^2)dot

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To find the second derivative of \( y \) with respect to \( x \) given the equations \( x = a(\cos t + t \sin t) \) and \( y = a(\sin t - t \cos t) \), we will follow these steps: ### Step 1: Differentiate \( x \) with respect to \( t \) Given: \[ x = a(\cos t + t \sin t) \] ...
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