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






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






3. 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)






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






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






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






7. 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






8. 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)






9. 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






10. dy/dx






11. Having the limits or boundaries established






12. ex) dx - dy etc






13. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






14. 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






15. N(1-r)^x






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






17. The smallest y-value of the function






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






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






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






21. The function that is integrated in an integral






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






23. 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.






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






25. Intervals on which the second derivative is negative






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






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






28. 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






29. 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






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






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






32. Dividing an interval into n sub-intervals






33. The maximum distance that the particles of a wave's medium vibrate from their rest position






34. Functions of angles






35. Input of function






36. d = v[( x2 - x1)² + (y2 - y1)²]






37. 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






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






39. The reciprocal of the sine function






40. 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






41. 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)






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






43. The process of evaluating an indefinite integral






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






45. The value of the function at a critical point






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






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






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






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






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