Volume Rotation, Optimization and Simpson Rule Help Please

1. Find the volume formed by rotation of s(x)=3e^(x/2) about the x axis on the interval

2. A rectangular garden is to be surrounded by a fence joined to a 3 m long wall on one side. The opposite side to the wall has a 1 m opening ( for a later gate). There is40 m of fencing available. To maximize the garden area, the length of fence to be added to the wall side is:

3. detective is investigating burned documents after a suspicious fire. He uses

Simpson’s rule to find the area of the document. The distance between

measurements is 2 cm

Thank you