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calculus

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Compute the area of the region in the fi…rst quadrant bounded
on the left by the curve y = sqrt(x), on the right by the curve y = 6 - x,
and below by the curve y = 1.

  • calculus -

    well, looking at the curves, The area will be (x2-x1) dy or (6-y - y^2 )dy ...check that.. with the limits from y=1 to ymax, or
    ymax occurs when

    x are the same, or
    y^2=6-y
    y^2+y-6=0
    (y+3)(y-2)=0
    so the first quadrant ymax is 2
    check that.

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