The population of a town t years after the beginning of the year 2000 is given by P(t) = 548720'029t. Find the AVERAGE population of the town from the beginning of the year 2002 to the beginning of the year 2008. ROUND YOUR ANSWER TO THE NEAREST PERSON. The average population was The concentration, C, of phenylbutazone, in micrograms per milliliter (uglmL), in the plasma of a calf injected with this antiinammatory agent is given approximately by C(t) = 42.286 0'01049', where t is the number of hours after the injection and O s t s 90. a) Given that the model is accurate for O s t s 90, what is the initial dosage? b) What is the average amount of phenylbutazone in the calf's body for the time between 5 and 90 hours? 50 4o 30 2o 10 4o 80 a) The initial dosage is uglmL. (Type an integer or a decimal.) Find the average value over the given interval. y=5e'X; [0,51 The average value is (Type an exact answer.) Find the exact area of the region bounded by the curves y = 8x2 - 15x + 10 and y = 7x2 8x + 10 . Answer in integer or fraction form. NO DECIMAL APPROXIMATIONS. The area between the curves is square units. Find the area of the shaded region. 90- f(x) =x4 -4x3 +9x2, g(x) = -6x +72 (-2,84) g (3,54) X -5 -10- The area is . (Type an integer or a simplified fraction.)The population of a town is increasing at a rate given by P'(t) = 440.015t where P is the population t years after the beginning of 1990. If the population at the beginning of 1990 was 5200, then estimate the population at the beginning of the year 2020. ROUND TO THE NEAREST PERSON. The population at the beginning of 2020 is/was about.Suppose that in a memory experiment the rate of memorizing is given by M'(t) = 0.00m2 + 0.8t where M'(t) is the memory rate, in words per minute. How many words are memorized in the rst 10 min (from t= 0 to t= 10)? In the rst 10 minutes words are memorized. Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was first recorded. Assume that b(0) = 209, b(20) = 1180, b(40) = 1353 20 30 b' (t) dt = 364, [b' (t )dt = 831 10 20 A) What was the population on the island exactly 10 weeks after the population was first recorded? bunnies. 10 B) b' ( t ) at = C) What was the population on the island exactly 30 weeks after the population was first recorded? bunnies. 40 D ) | b' (t )at = ] 30