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Question: creating a puzzle using area under curve

Question:creating a puzzle using area under curve

greatguyokay 5 Maple 17
area homework
February 11 2015
1

Not sure exactly how i could achieve this but:

how do i determine the value of k for which the graphs p(x) = x^2+2x+3 and q(x) = k+5x-7x^2 enclose an area of exactly 36?

I have to do it in maple and using i guess area under the curve.

Thanks
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