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Math Help - Please help check my answers

  1. #1
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    Please help check my answers

    Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.

    y= sqrt[x]
    y=(1/2)x
    x=16

    I keep on getting 328/3 as my answer, but when I input it the answer is wrong. I solve the integral in terms of dy but I always get it wrong.




    (d) Estimate the time t at which the cars are again side by side.

    I keep on getting 2.2s but I input it and it ends up wrong.
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  2. #2
    Senior Member Educated's Avatar
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    First one should be: \displaystyle \int_0^4 \sqrt{x}dx \displaystyle - \int_0^4 \frac{x}{2}dx \displaystyle + \int_4^{16} \frac{x}{2}dx \displaystyle -\int_4^{16} \sqrt{x}dx = ...

    (If you integrate with respects to x, which to me seems easier)
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