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






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






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






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






5. 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)






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






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






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






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






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






12. The value of the function at a critical point






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






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






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






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






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






18. ex) dx - dy etc






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






20. Selection of a best element from some set of available alternatives.






21. 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)






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






23. The smallest y-value of the function






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






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






26. Dividing an interval into n sub-intervals






27. Functions of angles






28. If there is some number B that is greater than or equal to every number in the range of f






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






30. 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






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 left most point of the sub-interval






32. The reciprocal of the sine function






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






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 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.






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






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






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






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






40. d = v[( x2 - x1)² + (y2 - y1)²]






41. Intervals on which the second derivative is negative






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






43. 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






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






45. 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






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






47. Input of function






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






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






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