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






2. The process of evaluating an indefinite integral






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






4. 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






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






6. A line that divides a figure in half so that each half is the mirror image of the other.






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






8. A function that possesses a finite integral; the function must be continuous on the interval of integration






9. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






10. Ratio between the length of an arc and its radius






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






12. The smallest y-value of the function






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






14. N(1-r)^x






15. d = v[( x2 - x1)² + (y2 - y1)²]






16. The reciprocal of the sine function






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






18. Functions of angles






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






20. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






21. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






22. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the right-most point of the sub-interval






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






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






25. 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






26. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






27. The value of the function at a critical point






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






29. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the left most point of the sub-interval






30. A given value of x and f(x) used to find the constant of integration






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






32. 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)






33. Input of function






34. A²=(b²+c²)-2(ab)Cos(A)






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






36. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






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






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






39. 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






40. The value of the function approaches as x increases or decreases without bound






41. 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






42. Imaginary line drawn perpendicular to the surface of a mirror or any surface






43. dy/dx






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






45. If there is some number b that is less than or equal to every number in the range of f






46. 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)






47. Having the limits or boundaries established






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






49. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






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