Ali oil field contains 8 wells which produce a total of 1600 barrels of oil per day. for each additional well that is drilled, the average production per well decreases by 10 barrels per day. how many additional wells should be drilled to obtain the maximum amount of oil per day? determine whether f(x) satisfies the hypotheses of the mean value theorem; and, if so, find the point(s) c in (a, b) such that f(b) - f(a) = f'(c)(b - a), if f(x) = 1 + squareroot x^2 + 16, on [0, 3]. find the indefinite integral: integral (cube root t - cot t) dt integral (x - 1/x)^2 dx