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An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of [(1') = lime0'04: liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.) A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.261)e1 1256/ bacteria per hour. How many bacteria will there be after three hours? (Round your answer to the nearest integer.) bacteriaDialysis treatment removes urea and other waste products from patients' blood by diverting some of their bloodflow externally through a machine called a dialyzer. The rate at which urea is removed from the blood (in mg/min) is often well described by the equation u(t) = Coe-rt/V where r is the rate of flow of blood through the dialyzer (in mL/min), V is the volume of the patient's blood (in ml), and Co is the amount of urea in the blood (in mg) at time t = 0. Evaluate the integral u(t) dt. mg Interpret the integral. O The integral is the amount of urea removed from the patient's blood in the first 20 minutes of dialysis treatment. O The integral is the amount of urea removed from the patient's blood in one dialysis treatment. O The integral is the number of times a patient's blood cycles through the dialyzer in the first 20 minutes of dialysis treatment. O The integral is the amount blood treated by the dialyzer in the first 20 minutes of dialysis treatment. O The integral is the number of treatments a patient undergoes.The birth rate of a population is b(t) = 2400e0'023t people per year and the death rate is d(t)= 1420e0'013t people per year, find the area between these curves for D S t S 10. (Round your answer to the nearest integer.) What does this area represent? 0 This area represents the increase in population over a 10-year period. 0 This area represents the number of deaths over a 10-year period. 0 This area represents the number of births over a 10-year period. 0 This area represent the number of children through high school over a 10-year period. 0 This area represents the decrease in population over a 10year period. Find the area of the region bounded by the parabola y = 5X2, the tangent line to this parabola at (1, 5), and the X-axis. S Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)