Originally Posted by

**NAPA55** Sometimes I can do these... sometimes I look at them and don't know where to begin.

If someone could give me a couple tips to get these few started, I can do the rest:

1. A box with a square base and no top must have a volume of 10 000 cm3. If the smallest dimension in any direction is 5 cm, then determine the dimensions of the box that minimize the amount of material used.

2. A fence is 1.5 m high and is 1 m from a wall. A ladder must start from the ground, touch the top of the fence, and rest somewhere on the wall. Find the minimum length of such a ladder.

3. The motion of a particle is given by s(t) = 5cos(2t + pi/4). What are the maximum values of the displacement, the velocity, and the acceleration?