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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. Amount of change / time it takes (amount of change/ length of interval)






2. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






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






4. 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






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






6. 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)






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






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






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






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






11. 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)






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






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






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






15. 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.


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






17. d = v[( x2 - x1)² + (y2 - y1)²]






18. The smallest y-value of the function






19. 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)






20. ex) dx - dy etc






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






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






23. Dividing an interval into n sub-intervals






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






25. The inverse of an eponential function






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






27. Intervals in which the second derivative is positive






28. The function that is integrated in an integral






29. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






30. Input of function






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






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






33. 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






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






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






36. Functions of angles






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






38. A²=(b²+c²)-2(ab)Cos(A)






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. 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






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






42. 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






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






44. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






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






46. The value of the function at a critical point






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






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






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






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