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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 mathematical process of obtaining the derivative of a function






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






3. 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






4. Intervals in which the second derivative is positive






5. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






9. 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






10. 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






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






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






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






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






15. ex) dx - dy etc






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






17. 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)






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






19. Input of function






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






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






22. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






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






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






26. dy/dx






27. The inverse of an eponential function






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






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






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






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






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






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






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






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






36. The process of evaluating an indefinite integral






37. The reciprocal of the sine function






38. 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






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






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






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






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






43. 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)






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






45. 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






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






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






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






50. 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))