Pg"-f''| The curve r(t) = (f(t),g(t)), where f and g are twice differentiable, has curvature defined by the formula K(t) = where derivatives are taken with respect to t. Find the curvature function of the following curve. ((*)?+ (9')²) 3/2 r(t) = (5 sin t,8 cost) (ellipse) K(t) =O

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A: Given option are wrong, option c should be '-16'.

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A: These equation represents parabola,then Radius of curvature: K=  y'' /([1+(y')²]^3/2)

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