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ap calculus help please?!?

a rectangle has a base on the x-axis and its upper two vertices on the parabola y=12-x^2. what is the largest area the rectangle can have and what are the dimensions?

1 Answer

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  • ?
    Lv 6
    8 years ago
    Favorite Answer

    A = 2xy

    y = 12 - x^2

    A = 2x(12 - x^2)

    A = 24x - 2x^3

    A' = 24 - 6x^2

    A' = 0 at x = 2

    ....+....2....-.....

    So x = 2 and then plug in to find y which is 8.

    A = 2xy = 2*2*8

    A = 32 units squared.

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