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1. Evaluate the Riemann sum for f(a) = In(a) - 0.8 over the interval [1, 3] using four subintervals, taking the sample points to be

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Evaluate the Riemann sum for f(a) = In(a) - 0.8 over the interval [1, 3] using four subintervals, taking the sample points to be midpoints. MA = Report answers accurate to 6 places. Remember not to round too early in your calculations.Liquid leaked from a damaged tank at a rate of t) liters per hour. The rate decreased as time passed and values of the rate at four-hour time intervals are shown in the table. ll rm (Uh) Find lower and upper estimates for the total amount of liquid that leaked out. Note: As the recorded rates most likely contain some amount of measurement error, it would be 25 conventional to report findings as rounded decimals. This is because a value such as ? suggests more accuracy in the answer than 12. 5 would. So, for this problem, enter answers as decimal values (accurate to 4 decimal places). Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative} to approximate the area under the curve at) = 3:2 + 11: + 3 from 1: = 4 to a: = 34. Use it = 5 rectangles to find your approximation . Answer =

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