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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. 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






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






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






4. 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)






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






6. 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






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






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






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






10. The smallest y-value of the function






11. 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)






12. dy/dx






13. 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)






14. 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






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






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






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






18. The local and global maximums and minimums of a function






19. The reciprocal of the sine function






20. The value of the function at a critical point






21. 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






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






23. 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))






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






25. ex) dx - dy etc






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






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






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






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






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






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






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






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






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






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






36. 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)






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






38. Dividing an interval into n sub-intervals






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






40. N(1-r)^x






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






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






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






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






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






46. Having the limits or boundaries established






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






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






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






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