# I need help withe equation (help)

**Question description**

section 5.4

1.A bacteria population is 5000 at time

t = 0

and its rate of growth is1000 · 8^{t}

*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)

(b)

2 sin 4θ cos 4θ

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