## Test your basic knowledge |

# AP Calculus Bc

**Instructions:**

- Answer 50 questions in 15 minutes.
- If you are not ready to take this test, you can study here.
- Match each statement with the correct term.
- Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

**1. area under a curve**

**2. definite integral**

**3. Converges conditionally**

**4. When f '(x) is increasing - f(x) is...**

**5. average value of f(x)**

**6. y = ln(x)/x - state rule used to find derivative**

**7. y = cos(x) - y' =**

**8. Given velocity vectors dx/dt and dy/dt - find total distance travelled**

**9. left riemann sum**

**10. If f '(x) = 0 and f'(x) < 0 -...**

**11. y = tan?(x) - y' =**

**12. Alternating series tes**

**13. nth term test**

**14. To find particular solution to differential equation - dy/dx = x/y...**

**15. y = e^x - y' = y' =**

**16. If g(x) = ? f(t) dt on interval 2 to x - then g'(x) =...**

**17. y = csc(x) - y' =**

**18. Taylor series**

**19. ? u dv =**

**20. rate**

**21. y = sin(x) - y' =**

**22. Given v(t) find displacement**

**23. y = log (base a) x - y' =**

**24. Area between two curves**

**25. Formal definition of derivative**

**26. Second derivative of parametrically defined curve**

**27. mean value theorem**

**28. area above x-axis is...**

**29. Product Rule**

**30. Converges absolutely**

**31. y = cot(x) - y' =**

**32. Eatio test**

**33. Intermediate Value Theorem**

**34. y = cos(3x)**

**35. Volume of solid of revolution - washer**

**36. When f '(x) is positive - f(x) is...**

**37. When f '(x) is negative - f(x) is...**

**38. area below x-axis is...**

**39. Find radius of convergence**

**40. trapezoidal rule**

**41. Particle is moving to the left/down**

**42. Length of parametric curve**

**43. Find interval of convergence**

**44. L'Hopitals rule**

**45. dP/dt = kP(M - P)**

**46. Given velocity vectors dx/dt and dy/dt - find speed**

**47. Particle is moving to the right/up**

**48. Volume of solid with base in the plane and given cross-section**

**49. Geometric series test**

**50. Area inside one polar curve and outside another polar curve**