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






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






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






4. Dividing an interval into n sub-intervals






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






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






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






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






9. N(1-r)^x






10. Input of function






11. dy/dx






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






13. ex) dx - dy etc






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






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






16. 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






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






18. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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






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






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






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






24. 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






25. 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)






26. The reciprocal of the sine function






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






28. 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






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






30. A²=(b²+c²)-2(ab)Cos(A)






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






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






33. 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)






34. 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)






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






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






37. 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






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






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






40. The function that is integrated in an integral






41. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






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






43. 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)






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






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






46. The value of the function at a critical point






47. The process of evaluating an indefinite integral






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






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






50. 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