Copyright
NES Mathematics (304): Practice & Study Guide  /  Math Courses

Test Prep Plan - Take a practice test

Take this practice test to check your existing knowledge of the course material. We'll review your answers and create a Test Prep Plan for you based on your results.
How Test Prep Plans work
1
Answer 50 questions
Test your existing knowledge.
2
View your test results
Based on your results, we'll create a customized Test Prep Plan just for you!
3
Study smarter
Study more effectively: skip concepts you already know and focus on what you still need to learn.

NES Math: Applications of Integration Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. Given a velocity v(t) and a starting position of xA at time t = 0, what is the equation for position as a function of time?

Question 2 2. Given the cut-off cone pictured, with h = x+3 and the region extending from x=2 to x=4, what is the integral you will need to solve to find the volume of this cut-off cone?

Question 3 3. What is the volume of the cut-off cone shown?

Question 4 4. Given a velocity v(t) as defined below and a starting position of x=1 at t=0, what is the equation for your position as a function of time?

Question 5 5. What is the volume made by revolving f(x) around the x-axis between x=0 and x=1?

Page 2

Question 6 6. What is the equation for the volume of this cone that extends from x=0 to x=A, given that h=x?

Question 7 7. What is the equation for the volume of this cone that extends from x=0 to x=A, given that h=x?

Question 8 8. What is the equation for the volume enclosed by revolving the area between f(x) and g(x) (where f(x) < g(x)) around the x axis between x=a and x=b?

Question 9 9. If your velocity is given by v(t), and you start at x=4 at t=0, then for what value of t will you be at the position x=20?

Question 10 10. Given a velocity of 60 miles per hour, and a starting location of x = 0, how far will you have traveled in 1.4 hours?

Page 3

Question 11 11. What is the equation for the volume of this cone that extends from x=0 to x=A, given that h=x?

Question 12 12. What is the volume made by revolving f(x) around the x-axis between x=0 and x=1?

Question 13 13. Given a velocity of v(t) as defined below, what is the equation for your position as a function of time?

Question 14 14. What is the volume made by revolving the area between g(x) and f(x) around the x-axis between x=0 and x=1?

Question 15 15. What is the equation for the volume enclosed by revolving f(x) around the x axis between x=a and x=b?

NES Math: Applications of Integration Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Support