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    Maximum Volume of a Right Circular Cylinder

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    What is the maximum possible volume of a right circular cylinder with a total surface area (including the top and the bottom)?
    600 pi in^2

    Find the exact coordinates of the inflection points and critical points of the function (Figure 15.1) on the interval (-10, 10)

    f(x)= 2x^3+ 3x^2- 180x+ 150

    Find dx/dt given

    x=^/¯(1+cot3t)

    Sketch, the graph of f(x). Identify all extrema, inflection points, intercepts, and asymptotes. Show the concave structure clearly and note any discontinuities.

    f(x)x^2/x-1

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    https://brainmass.com/math/optimization/maximum-volume-of-a-right-circular-cylinder-159884

    Solution Summary

    The maximum volume of a right circular cylinder is found using derivatives and inflection points. The solution is detailed and well presented.

    $2.49

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