section 5.41.A bacteria population is&nbsp5000&nbspat time&nbspt&nbsp= 0

section 5.41.A bacteria population is 5000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours. What is the population after one hour? (Round your answer to the nearest whole number.)2.Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 40 minutes.3.The velocity function (in meters per second) is given for a particle moving along a line.v(t) = 3t − 8,  0 ≤ t ≤ 5(a) Find the displacement. m(b) Find the distance traveled by the particle during the given time interval. m4.Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula.(a)2 sin 19° cos 19° (b)2 sin 4θ cos 4θ