I need help withe equation (help)

Jul 19th, 2015
RockCafe
Category:
Mathematics
Price: $5 USD

Question description

section 5.4

1.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.
 m


4.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


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