Suppose we know that the functions r and s are everywhere differentiable and that r(0) = 0.
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Suppose we know that the functions r and s are everywhere differentiable and that r(0) = 0. Suppose we also know that for 0 ≤ x ≤ 2, the area between the x-axis and the nonnegative function h(x) = s(x) dr/dx is 5, and that on the same interval, the area between the x-axis and the nonnegative function k(x) = r(x) ds/dx is 10. Determine r(2)s(2).
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