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






2. The inverse of an eponential function






3. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






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






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






6. 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






7. A²=(b²+c²)-2(ab)Cos(A)






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






9. 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)






10. 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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11. The smallest y-value of the function






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






13. ex) dx - dy etc






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






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






16. Dividing an interval into n sub-intervals






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






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






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






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






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






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






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






24. 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






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






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






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






28. Functions of angles






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






30. The reciprocal of the sine function






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






32. 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






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






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






35. The process of evaluating an indefinite integral






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






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






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






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






40. 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






41. 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)






42. Having the limits or boundaries established






43. 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






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






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






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






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






48. The value of the function at a critical point






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






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