Test your basic knowledge |

AP Calculus Ab

Subjects : math, ap, calculus
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. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






2. A variable occurring in a function - but on which the value of the function does not depend






3. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






4. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






5. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






6. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






7. The process of evaluating an indefinite integral






8. The value of the function at a critical point






9. A point that represents the maximum value a function assumes over its domain






10. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






11. sinA/a=sinB/b=sinC/c






12. Intervals on which the second derivative is negative






13. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






14. A function that is continuous at every point on the interval






15. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






16. ex) dx - dy etc






17. Any value in the domain where either the function is not differentiable or its derivative is 0.






18. The behavior of the graph of a function as x approaches positive infinity or negative infinity






19. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






20. A limit in which f(x) increases or decreases without bound - as x approaches c






21. A function f that gives the position f(t) of a body on a coordinate axis at time t






22. The maximum distance that the particles of a wave's medium vibrate from their rest position






23. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






24. Having the limits or boundaries established






25. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






26. A function whose domain is divided into several parts and a different function rule is applied to each part






27. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






28. A surface or shape exposed by making a straight cut through something at right angles to the axis.






29. The distance a number is from 0 on a number line






30. dy/dx






31. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






32. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






33. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






34. Two curves that have perpendicular tangents at the point of tangency






35. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






36. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


37. The local and global maximums and minimums of a function






38. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






39. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






40. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






41. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






42. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






43. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






44. d = v[( x2 - x1)² + (y2 - y1)²]






45. A²=(b²+c²)-2(ab)Cos(A)






46. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






47. Dividing an interval into n sub-intervals






48. The mathematical process of obtaining the derivative of a function






49. A function that is continuous on both the left and right side at that point






50. Curve whose points are at a fixed normal distance of a given curve