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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 reciprocal of the sine function






2. d = v[( x2 - x1)² + (y2 - y1)²]






3. 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






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






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






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






8. 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)






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






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






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






12. Input of function






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






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






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






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






17. N(1-r)^x






18. 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.






19. dy/dx






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






21. 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






22. 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






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






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






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






26. The value that a function is approaching as x approaches a given value through values less than x






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






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






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






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






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






32. 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






33. 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






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






35. Having the limits or boundaries established






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






37. 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)






38. The function that is integrated in an integral






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






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






41. 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






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






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






44. ex) dx - dy etc






45. 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






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






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






48. 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






49. The process of evaluating an indefinite integral






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