A curve is represented parametrically by and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A curve is represented parametrically by x=etcos⁡tx=e^t\cos t and y=etsin⁡ty=e^t\sin t, where tt is a parameter. The value of d2ydx2\frac{d^2y}{dx^2} at t=0t=0 is (1) 11 (2) 22 (3) −2-2 (4) 33

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