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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. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






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






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






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






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






6. The mathematical process of obtaining the derivative of a function






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






8. d = v[( x2 - x1)² + (y2 - y1)²]






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






10. 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






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






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






13. N(1-r)^x






14. 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)






15. 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






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






17. 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






18. Input of function






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






20. 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))






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






22. 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)






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






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






25. 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






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






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






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






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






30. Functions of angles






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






32. The smallest y-value of the function






33. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






37. Dividing an interval into n sub-intervals






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






39. Having the limits or boundaries established






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






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






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






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






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






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






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






47. The inverse of an eponential function






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






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






50. 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