Description
Problem 1
(6 points)
Sketch the graph of the function
f(x) = x
2
4−x2
Problem 2
(6 points)
Sketch the graph of the function
f(x) = − ln(x) + √
x
Problem 3
(6 points)
Sketch the graph of the function
f(x) = 2e
−4/x
Problem 4
(6 points)
A family wants to build a fenced-in area in their garden for their rabbits. Two sides of the
rectangular fencing will be given by a hedge. The family bought 50 m of fencing. What area
is the optimum for the rectangle such that the rabbits have the largest possible area in which
to graze?
Problem 5
(6 points)
Find the radius of the circle which minimizes the square of the distance of the circle centered
at the origin to the points (1, 0) and (−1, 1).
