# Problem 1

Sketch the graph of the function

# Problem 2

Sketch the graph of the function

√

*f*(*x*) = −ln(*x*) + *x*

# Problem 3

## (6 points)

Sketch the graph of the function *f*(*x*) = 2*e*−4*/x*

# Problem 4

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 50m 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

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).

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