**Q2: **

Find the area of the region bounded by and .

- A
- B
- C
- D
- E

**Q3: **

Find the area of the region bounded by the curves and .

- A
- B
- C
- D
- E

**Q4: **

Find the area of the region bounded above by and below by .

- A
- B
- C
- D
- E

**Q5: **

Find the area of the region bounded by , , and .

- A
- B
- C
- D
- E

**Q6: **

Find the area of the region enclosed by the curves and .

- A
- B
- C
- D
- E

**Q7: **

The curves shown are and . What is the area of the shaded region? Give an exact answer.

- A
- B0.3068528194
- C
- D
- E0.6931471806

**Q8: **

Find the area of the region bounded by and .

- A
- B
- C
- D
- E8

**Q9: **

Find the area of the region bounded by and between and .

- A4
- B
- C
- D
- E16

**Q10: **

Find the area of the region bounded by and .

- A
- B
- C
- D
- E

**Q11: **

Find the area of the region bounded by and .

- A
- B
- C
- D
- E

**Q12: **

The figure shows the area between and and the area between and . It is apparent that the piece over interval , which has area , is bigger than the piece over of area .

Verify the claim by determining the function . What is to two decimal places?

- A
- B
- C
- D
- E

What theorem will assure us that there is a so that the area of the pieces to the left and right of have the same area?

- Athe extreme value theorem since
- Bthe intermediate value theorem since
- Cthe extreme value theorem since
- Dthe intermediate value theorem since

Using the Newton-Raphson method, determine to 5 decimal places after a single step starting at .

By repeated use of Newton-Raphson, find to 5 decimal places.

**Q13: **

Find the area of the region bounded by ,,, where .

- A
- B
- C
- D
- E

**Q14: **

Determine, to the nearest hundredth, the area of the region bounded by the curve , the line and the -axis.