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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 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






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






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






4. 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






5. The function that is integrated in an integral






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






7. The value of the function at a critical point






8. 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)






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






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






11. 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






12. The process of evaluating an indefinite integral






13. Functions of angles






14. 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






15. 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






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






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






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






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






20. 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






21. Having the limits or boundaries established






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






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






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






25. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






26. 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.






27. The smallest y-value of the function






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






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






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






31. A limit in which f(x) increases or decreases without bound - as x approaches c






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






33. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






39. 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)






40. sinA/a=sinB/b=sinC/c






41. 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))






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






43. 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)






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






45. Input of function






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






47. Dividing an interval into n sub-intervals






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






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






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