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






2. 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






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






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






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






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






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






8. 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






9. 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






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






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






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






13. The value of the function at a critical point






14. Input of function






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






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






17. The reciprocal of the sine function






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






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






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






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






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






23. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






27. 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






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






29. 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






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






31. 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)






32. 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






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






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






35. Having the limits or boundaries established






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






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






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






39. 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






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






41. 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)






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






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






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






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






46. The function that is integrated in an integral






47. 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)






48. 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






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






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