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






2. Intervals in which the second derivative is positive






3. Amount of change / time it takes (amount of change/ length of interval)






4. dy/dx






5. 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






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






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






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






9. 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






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






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






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






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






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






15. Dividing an interval into n sub-intervals






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






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






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






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






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






21. 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






22. A²=(b²+c²)-2(ab)Cos(A)






23. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






26. 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)






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






28. The function that is integrated in an integral






29. The smallest y-value of the function






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






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






32. Input of function






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






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






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






36. ex) dx - dy etc






37. The process of evaluating an indefinite integral






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






39. 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






40. N(1-r)^x






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






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






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






44. Intervals on which the second derivative is negative






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






46. Having the limits or boundaries established






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






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






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






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







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