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






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






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






4. 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






5. d = v[( x2 - x1)² + (y2 - y1)²]






6. 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






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






8. The smallest y-value of the function






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






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






11. Having the limits or boundaries established






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






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






14. The value of the function at a critical point






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






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






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






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






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






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






21. Intervals in which the second derivative is positive






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






23. 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






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






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






26. 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)






27. The process of evaluating an indefinite integral






28. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






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






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






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






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






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






35. 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)






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






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






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






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






40. 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)






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






42. 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.






43. 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.

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






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






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






47. 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






48. Functions of angles






49. The function that is integrated in an integral






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