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Find d^2y/dx^2, if (i) x = at^2, y = 2at (ii) x = acos^3θ, y = asin^3θ

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in Limit, continuity and differentiability by (50.3k points)

Find d2y/dx2, if

(i) x = at2, y = 2at

(ii) x = acos3θ, y = asin3θ

(iii) x = acosθ, y = bsinθ

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⇒ d2y/dx2 = – 1/t2 × 1/2at = – 1/2at3

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