Problems
1. Suppose the population of bears in a national park grows according to the logistic differential equation
dP
5 P 0.002 P 2 , where P is the number of bears at time t in years.
dt
a) If P(0) = 100, then lim P t _ . Sketch the graph of P(t) .
t

Assignment 2
Total points: 95
Weight: 10%
Submit after completion of Unit 4
10 pts
1.
Sketch only one possible graph of a function f that satisfies all the following
conditions:
a.
b.
c.
d.
e.
12 pts
2.
f (0) = 1
lim f (x) =
x0
lim f (x) = 2
x0+
lim f (x

Assignment 1
Total points: 80
Weight: 10%
Submit after completion of Unit 2
4 pts
1.
Give the linear equation of the line shown below.
6 pts
2.
Determine the region given by the inequality y +
4 pts
3.
On the average, infant girls weigh 3.4 Kg at birth an

Assignment 3
Total points: 90
Weight: 10%
Submit after completion of Unit 6
8 pts
1.
Sketch one graph only of a function f that satisfies all the following conditions:
a.
Domain comprises all real numbers except 0, 1 and 4
b.
Not differentiable at -2
c.
d

Assignment 4
Total points: 96
Weight: 10%
Submit after completion of Unit 8
8 pts
1.
Sketch the area between the curve y = x2 4x + 2 and the line y = x. Use a
definite integral to find the area between these two curves.
8 pts
2.
Complete Exercise 86 of se