I need help withe equation (help)

section 5.4

1.A bacteria population is 5000 at time 

t = 0

 and its rate of growth is 

1000 · 8^t

 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.

(a) Find the displacement.
 m

(b) Find the distance traveled by the particle during the given time interval.
 m

4.Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula.

(a)