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






2. The process of evaluating an indefinite integral






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






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






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






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






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






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






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






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






11. Intervals on which the second derivative is negative






12. 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






13. 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






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






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. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






21. 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)






22. 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






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






24. 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






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






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






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






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






29. N(1-r)^x






30. 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






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






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






33. Functions of angles






34. The reciprocal of the sine function






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






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






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






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






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






40. 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






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






42. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






47. 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






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






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






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







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