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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 mathematical process of obtaining the derivative of a function






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






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






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






5. Intervals on which the second derivative is negative






6. The reciprocal of the sine function






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






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






9. 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)






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






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






12. The function that is integrated in an integral






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






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. 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






16. The inverse of an eponential function






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






18. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






19. Input of function






20. 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






21. Functions of angles






22. dy/dx






23. 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






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






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






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






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






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






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






30. The value of the function at a critical point






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






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






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






34. N(1-r)^x






35. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






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






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






43. 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)






44. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






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






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






48. 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






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






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