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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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(1 point) The volume of the solid obtained by rotating the region enclosed by about the line y = = 1 y y= 0, x 3, = and x = 8, -4 can be computed using the method of disks or washers via an integral with limits of integration a = and b = V = L dx ▾ (3 points) Consider the area between the graphs x + 3y = 2 and x+8=y². This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a = f(x) = g(x) == ,b= Alternatively this area can be computed as a single integral where a = h(y) = Either way we find that the area is | B = and LFO f(x) dx + √ 9(2 9(x) dx B h(y) dy and

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