Martin L.

asked • 01/24/22

The area of ​​the lines y = x2 and y = x finite shape is 36. Find the value of the parameter m.

Paul M.

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What is m? Also the statement of your question is unclear: lines do not have area. What does finite shape mean?
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01/24/22

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Yefim S. answered • 01/24/22

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Intersection: x2 = mx; x = 0 or x = m

Area A = ∫0m(x - x2)dx = m2/2 - m3/3 = 36; 2m3 - 3m2 + 216 = 0; m = - 4.311

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Luke J.

You parameterized the second function to mx...and then evaluated the integral without mx. The integrand should have looked like mx - x^2, not x - x^2. I recommend you reevaluate your answer, Mr. Yefim S.
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01/24/22

Martin L.

I am very sorry, I made a mistake, it is not y=x, it is y=m
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01/24/22

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