1. Evaluate the following integrals by using the Fundamental Theorem of Calculus

2. The water temperature in the Eastern Mediterranean in May is given by

T x

( )

= 18.5 + e

x

30

where x is the number of days since the beginning of the month.

What is the average temperature in the 31 days of May?

3. Consider the cone with the radius 2z at height z above the xy plane. What is the volume of the cone bounded between the planes z = 2 and z = 6?

4. For 1 = x = 5 the area between the graph of

f x

( )

= x

and the horizontal line y = 0 is revolved around the lint y = 0. What is the volume of the solid of revolution?