Answer Happy

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 140 m³/hr at 6 am and increases steadily to about 280 m³/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am. Best estimate = i 321.5 m³

Filters at a water treatment plant become less effective over time. The rate at which pollution passes through the filters into a nearby lake is given in the following table. Day Rate (kg/day) 0 7 8 The underestimate is i 8 The overestimate is i 16 10 24 32 13. 18 (a) Estimate the total quantity of pollution entering the lake during the 40-day period. Round your answer to the nearest integer. The total quantity of pollution that enters the lake is i 40 (b) Your answer to part (a) is only an estimate. Give bounds (lower and upper estimates) between which the true quantity of pollution must lie. (Assume the rate of pollution is continually increasing.) kg. 35 kg. kg.

X Your answer is incorrect. Use an integral to find the area between y = cosx + 11 and y = In(x-4) for 6 ≤ x ≤ 9. Round your answer to three decimal places. Area = i