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. Consider the plane curve y = x^3/sqrt(45) for 0 ≤ x < inf. a. Find...

. Consider the plane curve y = x^3/sqrt(45) for 0 ≤ x < inf. a. Find the x-coordinate of the point where the curvature of the curve is minimal. b. Find the x-coordinate of the point where the curvature of the curve is maximal.

Useful formula: The curvature of the plane curve y = f(x) is given by κ(x) = |f "|(1 + f '^2 ) ^(−3/2)

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