Total points: 80
Submit after completion of Unit 2
Give the linear equation of the line shown below.
Determine the region given by the inequality y +
On the average, infant girls weigh 3.4 Kg at birth an
1. Suppose the population of bears in a national park grows according to the logistic differential equation
5 P 0.002 P 2 , where P is the number of bears at time t in years.
a) If P(0) = 100, then lim P t _ . Sketch the graph of P(t) .
Total points: 96
Submit after completion of Unit 8
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.
Complete Exercise 86 of se
Total points: 90
Submit after completion of Unit 6
Sketch one graph only of a function f that satisfies all the following conditions:
Domain comprises all real numbers except 0, 1 and 4
Not differentiable at -2
Total points: 95
Submit after completion of Unit 4
Sketch only one possible graph of a function f that satisfies all the following
f (0) = 1
lim f (x) =
lim f (x) = 2
lim f (x
slope of line m=(y2-y1)/(x2-x1), cost function =fixed costs+ variable costs or a+bx, Price-demand function - p=m-nx,
Revenue function r=number of items sold x price per item or xp or x(m-nx), Profit function P=R-C= x(m-nx)- (a+bx)
Vertical shift y=|x|+-5,