1. 7.1 – 7.3 Review Area and Volume

2. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Determine when the particle is moving to the right, to the left, and stopped.

3. 2.The velocity in m/sec of a particle moving along the x-axis is given by the function Find the particle's displacement for the given time interval. If s(0) = 3, what is the particle's final position at the end of the given time interval?

4. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Find the total distance traveled by the particle.

5. 4.A car accelerates from rest at the rate of mph per second for 16 seconds. What is its velocity after 16 seconds?

6. 5.In town A, the birth rate is given by where t is the number of years since 1990. In town B, the birth rate is given by where t is the number of years since 1990. How many more births are there in town B than in town A during the 1990s (from t = 0 to t = 10)? Round your answer to the nearest whole number.

7. 6.It took 1930 J of work to stretch a spring from its natural length of 1 m to a length of 3 m. Find the spring's force constant.

8. Find the area of the shaded region.

10. Find the area of the regions enclosed by the lines and curves.

11. Find the area enclosed by the given curves.

12. Find the area of the regions enclosed by the lines and curves.

13. Find the area of the region(s) enclosed by the given curves.

14. Find the volume of the described solid. 13.The solid lies between planes perpendicular to the x - axis at x = - 3 and x = 3 and. The cross sections perpendicular to the x - axis between these planes are squares whose bases run from the semicircle to the semicircle

15. Find the volume of the solid generated by revolving the shaded region about the given axis. 14. About the y-axis

16. Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the.

18. Find the volume of the solid generated by revolving the region about the y-axis. 17.The region in the first quadrant bounded on the left by on the right by the line x = 2, and below by the x - axis.

19. Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.

21. Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x - axis.