Advanced Placement Calculus Final Exam Sample Test!

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Rlbruderick
R
Rlbruderick
Community Contributor
Quizzes Created: 1 | Total Attempts: 259
| Attempts: 259
SettingsSettings
Please wait...
  • 1/10 Questions

     

    • 1/2
    • 2
    • 3
    • -0.5
Please wait...
About This Quiz

Hey, all of you young mathematicians, welcome to this short and essential Advanced Placement Calculus sample quiz! Here you are going to face ten most important questions on the same topic for which you shall be judged how much you have learned in your math classes. So, let's get started.

Advanced Placement Calculus Final Exam Sample Test! - Quiz

Quiz Preview

  • 2. 

    • -6

    • -7

    • -8

    • -9

    Correct Answer
    A. -9
  • 3. 

    • 0

    • -1

    • 1

    Correct Answer
    A. 0
  • 4. 

    Correct Answer
    A.
  • 5. 

    Given that:     Determine the change in  y  with respect to  x.

    Correct Answer
    A.
  • 6. 

    Compute the derivative of    4 sec(x) - 3 csc(x)

    • 4 csc(x) + 3 sec(x)

    • 4 sec(x)tan(x) + 3 csc(x)cot(x)

    • 4(csc(x))^2 + 3(sec(x))^2

    • 4 csc(x)tan(x) - 3 csc(x)cot(x)

    Correct Answer
    A. 4 sec(x)tan(x) + 3 csc(x)cot(x)
    Explanation
    The given expression is a combination of two trigonometric functions, sec(x) and csc(x). To find the derivative of this expression, we can use the rules of differentiation for trigonometric functions. The derivative of sec(x) is sec(x)tan(x), and the derivative of csc(x) is -csc(x)cot(x). Therefore, the derivative of 4 sec(x) - 3 csc(x) is 4 sec(x)tan(x) + 3 csc(x)cot(x).

    Rate this question:

  • 7. 

    Compute    

    • -pi

    • 2pi

    • 0

    • Pi

    Correct Answer
    A. Pi
    Explanation
    The given question asks for the result of the computation of -pi. The negative sign in front of pi indicates that the value of pi should be multiplied by -1. Therefore, the correct answer is -pi.

    Rate this question:

  • 8. 

    Correct Answer
    A.
  • 9. 

    Give the equation of the normal line to the graph of    at the point (0, -3).

    Correct Answer
    A.
  • 10. 

    Determine the concavity of the graph of  f(x) = 2 sin(x) + 3(cos(x))^2  at x = pi.

    • 6

    • -7

    • 3

    • -6

    Correct Answer
    A. -6
    Explanation
    To determine the concavity of the graph of f(x) at x = pi, we need to find the second derivative of f(x) and evaluate it at x = pi. The first derivative of f(x) is f'(x) = 2cos(x) - 6sin(x)cos(x), and the second derivative is f''(x) = -2sin(x) - 6sin^2(x) + 6cos^2(x). Evaluating f''(pi) gives us -2sin(pi) - 6sin^2(pi) + 6cos^2(pi) = 0 - 0 + 6(1) = 6. Since the second derivative is positive at x = pi, the graph is concave up at that point. Therefore, the given answer of -6 is incorrect.

    Rate this question:

Quiz Review Timeline (Updated): Mar 21, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 01, 2012
    Quiz Created by
    Rlbruderick
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.