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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. 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






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






3. 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)






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






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






6. 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






7. The process of evaluating an indefinite integral






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






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






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






11. 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






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






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






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






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






16. 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






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






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






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






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






21. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






22. Dividing an interval into n sub-intervals






23. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






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






32. 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






33. 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)






34. Functions of angles






35. The value of the function approaches as x increases or decreases without bound






36. 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)






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






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






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






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






41. A²=(b²+c²)-2(ab)Cos(A)






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






43. The value of the function at a critical point






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 left most point of the sub-interval






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






46. 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






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






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






49. 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)






50. ex) dx - dy etc