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Consider the plane curve y = x3 √45 for 0 ≤ x < ∞. a. [4]...

Consider the plane curve y = x3 √45 for 0 ≤ x < ∞. a. [4] Find the x-coordinate of the point where the curvature of the curve is minimal. b. [4] 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) = |f00|(1 + f02)−3/2.

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