A tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.8 m/s² for g. Use 1,000 kg/m³ as the density of water. Round your answer to the nearest whole number.) × J 3 m 9 m (a) Find the approximations T10 and M10 for 13 e 1/x dx. (Round your answers to six decimal places.) T10 M10 = (b) Estimate the errors in the approximations of part (a) using the smallest possible value for K according to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) |ET| ≤ EMI S (c) Using the values of K from part (b), how large do we have to choose n so that the approximations T and M to the integral in part (a) are accurate to within 0.0001? n For T n' n = For Mn, n =

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