AP Calculus AB :Unit 8 — Applications of Integration Practice Test
AP Calculus AB :Unit 8 — Applications of Integration Practice Test
Quiz Summary
0 of 19 questions completed
Questions:
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
Results
Results
0 of 19 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 Answered
 Review

Question 1 of 19
1. Question
What is the average value of √ x on the interval [5, 12] ?
CorrectIncorrect 
Question 2 of 19
2. Question
Divya received the following problem:
A particle moves in a straight line with velocity v ( t )= √ 3 t−1 meters per second, where t is time in seconds. At t=2 , the particle’s distance from the starting point was 8 meters in the positive direction. What is the particle’s position at t=7 seconds?
Which expression should Divya use to solve the problem?CorrectIncorrect 
Question 3 of 19
3. Question
The population of a town grows at a rate of r (t) people per year (where t is time in years). At t=3 , the town’s population was 1000 people. What does mean?
CorrectIncorrect 
Question 4 of 19
4. Question
What is the area of the region between the graphs of f ( x )=8 x +6 and g ( x ) =x−x ^{2} from x=−6 to x=−1 ?
CorrectIncorrect 
Question 5 of 19
5. Question
The curves x=7 y +18 and x=2 y 2 +19 y +18 are graphed. Which expression represents the area bounded by the curves?
CorrectIncorrect 
Question 6 of 19
6. Question
Let f ( x )=x 3 + x 2 −6 x and let R and S be two regions enclosed by the graphs of f and g as shown in the graph. Find the sum of the areas of regions R and S decimal places.
CorrectIncorrect 
Question 7 of 19
7. Question
Let R be the region enclosed by the graphs of functions f and g .Region R is the base of a solid whose cross sections perpendicular to the x axis are squares. Which one of the definite integrals gives the volume of the solid?
CorrectIncorrect 
Question 8 of 19
8. Question
The base of a solid S is the region bounded by the graphs of the functions and g shown below. f Crosssections perpendicular to the x axis are semicircles. Which one of these integrals represents the volume of solid S ?
CorrectIncorrect 
Question 9 of 19
9. Question
Let R be the region in the first quadrant enclosed by the axis, the line y=2 , and the curve y= √ 9−x^{2} A solid is generated by rotating R aboout the – y axis What is the volume of of terms of π ?
CorrectIncorrect 
Question 10 of 19
10. Question
Let R be the region enclosed by the line x=1 , the line y=2 , the line y=4 , and the curve y=( x−1 )^{ 2} . A solid is generated by rotating R about the line x=1 the solid in terms of π ?
CorrectIncorrect 
Question 11 of 19
11. Question
Region in the first quadrant is enclosed by the axis, the line , and the curve .
What is the volume of the solid generated when is rotated about the axis in terms of ?
CorrectIncorrect 
Question 12 of 19
12. Question
Let be the region enclosed by the curves and .
A solid is generated by rotating about the line . What is the volume of the solid in terms of ?
CorrectIncorrect 
Question 13 of 19
13. Question
A particle moves along the x axis with velocity v ( t )=ln( t^{ 2} +5 t+1) . What is the particle’s displacement between the times t=1 and t= 5 your answer to three decimal places.
CorrectIncorrect 
Question 14 of 19
14. Question
What is the average value of ^{3}√ 3 x on the interval −5 ≤ x ≤ 9 ?
CorrectIncorrect 
Question 15 of 19
15. Question
Determine the volume of the region bounded by y=x^{2} −2 x and y=x that is rotated about y=4
CorrectIncorrect 
Question 16 of 19
16. Question
What integral would allow you to find the volume of the region bounded by y=2 x ^{2} and y=8 around the line y=11 .
CorrectIncorrect 
Question 17 of 19
17. Question
Write the integral that would be used to find the area bounded by the graphs of and .
CorrectIncorrect 
Question 18 of 19
18. Question
If the region enclosed by y=3 x ^{2} , y=3 is revolved about the x axis what is the volume of the solid generated?
CorrectIncorrect 
Question 19 of 19
19. Question
Find the area of the region bounded by the graphs of y=x 2 and y=4 x .
CorrectIncorrect