1. 5 More!

2. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. The volume of the box can be modeled by , where x is the side length of the base. What is the maximum volume?

4. Evaluate the limit:

6. A man 6 feet tall walks at rate of 5 feet per second away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, at what rate is the length of his shadow changing?

8. h(x) m(x) Let and . When is ?
Write an integral expression that calculates the area of region R.
c. The vertical line x = k divides R into two regions of
equal areas. Write an equation involving one or more
integrals whose solution gives the value of k.
d. Write an expression for
h(x)
m(x)

9. h(x) m(x) Let and . When is ?
Write an integral expression that calculates the area of region R.
c. The vertical line x = k divides R into two regions of
equal areas. Write an equation involving one or more
integrals whose solution gives the value of k.
d. Write an expression for
h(x)
m(x)

10. h(x) m(x) A solid lies between planes perpendicular to the x-axis.
The cross sections perpendicular to the x-axis between
these planes are equilateral triangles whose sides are
in R. Write an expression for the volume of the solid.
b. A solid is generated by revolving R about y = 20. Write
an expression for the volume of the solid.
A solid is generated by revolving R about y = -8. Write
h(x)
m(x)

11. h(x) m(x) A solid lies between planes perpendicular to the x-axis.
The cross sections perpendicular to the x-axis between
these planes are equilateral triangles whose sides are
in R. Write an expression for the volume of the solid.
b. A solid is generated by revolving R about y = 20. Write
an expression for the volume of the solid.
A solid is generated by revolving R about y = -8. Write
h(x)
m(x)