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






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






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






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






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






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






7. N(1-r)^x






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






9. 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






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






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






12. 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)






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






14. dy/dx






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






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






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






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






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






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






21. The process of evaluating an indefinite integral






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






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






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






25. A²=(b²+c²)-2(ab)Cos(A)






26. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






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






28. ex) dx - dy etc






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






30. 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






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






32. Selection of a best element from some set of available alternatives.






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






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






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






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






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






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






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






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






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. Input of function






43. The function that is integrated in an integral






44. 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






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






46. 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)






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






48. Functions of angles






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






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