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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. A²=(b²+c²)-2(ab)Cos(A)






3. 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






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






5. Dividing an interval into n sub-intervals






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






7. ex) dx - dy etc






8. The value of the function at a critical point






9. 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)






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






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






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






13. 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)






14. 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






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






16. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






17. 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






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






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






20. The function that is integrated in an integral






21. Input of function






22. 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)






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






24. Intervals on which the second derivative is negative






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






26. d = v[( x2 - x1)² + (y2 - y1)²]






27. dy/dx






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






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






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






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






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






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






34. 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






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






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






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






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






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






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






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






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






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






44. 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






45. 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






46. 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






47. 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))






48. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






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