1. Sketch the region enclosed by the curves and find its area.

= , = 4, = − + 2

2. Find the volume of the solid that results when the region enclosed by the given curves is

revolved about the x-axis.

=

cos, =

4

, =

2

, = 0

3. Solve the initial value problem by separation of variables

=

4

+ cos

, 1 =

4. Solve the initial value problem by the method of integrating factors

− = , 0 = 3

5. Find the equation of the plane that contains the points 1,−2,0, 3,1,4 and 0,−1,2.