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






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






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






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






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






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






7. 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






8. N(1-r)^x






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






10. The inverse of an eponential function






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






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






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






14. 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






15. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






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






18. Intervals in which the second derivative is positive






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






20. 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






21. 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






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






23. ex) dx - dy etc






24. 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)






25. The process of evaluating an indefinite integral






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






27. The reciprocal of the sine function






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






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






31. 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






32. Intervals on which the second derivative is negative






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






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






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






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






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






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






39. 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)






40. A function that is continuous on both the left and right side at that point






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






42. 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)






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






44. 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






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






46. 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.






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






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






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






50. Dividing an interval into n sub-intervals