Tugas OFC 3
Problem 1
If money is flowing continuously at constant rate of $2000 per year over 5
years at rate 12% interest compounded continuously, find each of the
following.
a)
b)
c)
d)
The total amount of the flow over the 5-year period.
The accumulated amount, compounded continuously, at time t = 5
The total interest earned
The presen value of the amount with interest.
Problem 2
The reaction rate to a new drug x hours after thedrug is administered is
r′(x) = 0.5 x e-x
Find the total reaction over the first 5 hours.
Problem 3
Suppose the temperature in a river at a point x meters downstream from a
factory that is discharging hot water into the river is given by
T(x) = 400 – 0.25 x2.
Find the average temperature over each of the following intervals.
a. [0, 10 ]
b. [ 10 , 40 ]
c [ 0 , 40 ]
Problem 4
The rate at which a pollutant is being dumped into a small stream at time t is
given by Poe-kt, where Po is the amount of pollutant initially released into
the stream. Suppose Po = 1000 and k = .06. Find the total amount of the
pollutant that will be released into the stream into the indefinite future.
TERIMA KASIH