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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. The function that is integrated in an integral






2. 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






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






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






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






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






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






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






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






10. Intervals on which the second derivative is negative






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






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






13. 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






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






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






16. 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)






17. 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.


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






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






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






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






22. N(1-r)^x






23. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






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






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






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






27. 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)






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






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






30. Intervals in which the second derivative is positive






31. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






32. The reciprocal of the sine function






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






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






35. The smallest y-value of the function






36. The value of the function at a critical point






37. 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






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






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






40. A²=(b²+c²)-2(ab)Cos(A)






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






42. 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






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






44. ex) dx - dy etc






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






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






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






48. 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






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






50. The value that a function is approaching as x approaches a given value through values less than x