Calc 1

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A rectangle has one side on the x-axis, one side on the y-axis, one vertex at the orgin ans one on the curve y = e^-3x , for x>(equal) 0. find the maximum area (using calculus)

  • Calc 1 -

    a = xy = xe^(-3x)
    da/dx = (1-3x)e^(-3x)

    so, where is da/dx = 0?

  • Calc 1 -

    is the answer 3?

  • Calc 1 -

    no.
    e^(-3x) is never zero, so where is (1-3x)=0?

    x = 1/3

    so, a = (1/3)e^(-3*1/3) = 1/(3e)

    don't forget your Algebra I now that you're in Calculus!

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