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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. 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






2. A point where a function changes concavity; also - where the second derivative changes signs






3. If there is some number B that is greater than or equal to every number in the range of f






4. Dividing an interval into n sub-intervals






5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






6. A function that is a fixed numerical value for all elements of the domain of the function






7. 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)






8. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






9. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






10. 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)






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






12. The function that is integrated in an integral






13. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






15. An undetermined constant added to every result of integration (the added +c)






16. 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






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






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






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






20. The process of evaluating an indefinite integral






21. d = v[( x2 - x1)² + (y2 - y1)²]






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






23. The inverse of an eponential function






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






25. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






26. 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






27. N(1-r)^x






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






29. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






30. A straight line that is the limiting value of a curve






31. 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






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






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






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






35. ex) dx - dy etc






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






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






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






39. The limit of f as x approaches c from the right






40. A logarithm with the base e - written as ln






41. 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)






42. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






43. (geometry)A curve generated by the intersection of a plane or circular cone






44. A function that can be graphed w/ a line or smooth curve






45. The reciprocal of the sine function






46. 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






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






48. A measure of how a function changes as its input changes.






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






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