1) (15 points) How much money should we invest today at a rate of compounded continuously if we need in three years time?

2) (25 points) Find the absolute maximum and the absolute minimum of on [-2,0].

3) (10 points) Compute *f*'(*x*) for:

4) (25 points) A 5 meter long ladder is leaning against a wall. The top is sliding down the wall at a rate of 4 meters per second. How fast is the bottom sliding away from the wall when the top is 3 meters from the wall?

5) (25 points) Find all absolute extrema on the whole real line for