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






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






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






4. 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)






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






6. N(1-r)^x






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






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






9. Intervals in which the second derivative is positive






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






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






12. 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)






13. Imaginary line drawn perpendicular to the surface of a mirror or any surface






14. 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)






15. The value of the function at a critical point






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






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






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






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






21. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






22. The smallest y-value of the function






23. 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)






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






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






26. 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






27. A²=(b²+c²)-2(ab)Cos(A)






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






29. 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






30. Input of function






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






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






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






34. 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)






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






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






37. The inverse of an eponential function






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






39. An undetermined constant added to every result of integration (the added +c)






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






41. d = v[( x2 - x1)² + (y2 - y1)²]






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






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 left most point of the sub-interval






44. 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






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






46. 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






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






48. Amount of change / time it takes (amount of change/ length of interval)






49. 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






50. Intervals on which the second derivative is negative