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Problem. 7: Find the function f(x) given that the slope of the tangent line to the graph of f at any point (x, f(x)) is

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Problem. 7: Find the function f(x) given that the slope of the tangent line to the graph of f at any point (x, f(x)) is given by f'(x) and that the graph of f passes through the given point. f (x) = -2+1, (1,4) f(x) = - 3Inlx] + x + 3 X Problem. 8 : Find the indefinite integral. Problem. 9 : Find the indefinite integral. (+12 2 ) -1/2(x ?Problem. 14: A certain small college's student enrollment is growing at the rate of P (t) = 2900 ($ 1+ 1) i students per year, t years from now. If the current student enrollment is 1200, find an expression giving the enrollment t years from now. - 20000/sqrt(t/5 X What will the enrollment be 5 years from now (round your answer to the nearest student). 7058

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