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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 function that is integrated in an integral






2. Intervals on which the second derivative is negative






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






4. Input of function






5. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






6. N(1-r)^x






7. 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)






8. 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






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






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






11. 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






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






13. Functions of angles






14. The value of the function at a critical point






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






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






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






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






19. A function f that gives the position f(t) of a body on a coordinate axis at time t






20. dy/dx






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






22. Intervals in which the second derivative is positive






23. 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






24. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






27. The smallest y-value of the function






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






29. 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)






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






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






32. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






33. Having the limits or boundaries established






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






35. A²=(b²+c²)-2(ab)Cos(A)






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






37. 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






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






40. 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






41. ex) dx - dy etc






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






43. 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






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






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






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






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






48. 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






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






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