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






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






3. The process of evaluating an indefinite integral






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






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






6. 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






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






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






9. Intervals in which the second derivative is positive






10. A²=(b²+c²)-2(ab)Cos(A)






11. 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






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






13. N(1-r)^x






14. Functions of angles






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






16. d = v[( x2 - x1)² + (y2 - y1)²]






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






18. 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






19. 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






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






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






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






23. 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)






24. 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






25. 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))






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






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






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






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






30. The reciprocal of the sine function






31. The value of the function at a critical point






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






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






34. 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






35. The function that is integrated in an integral






36. 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






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






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






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






40. 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)






41. dy/dx






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






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






44. 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)






45. The smallest y-value of the function






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






47. 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






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






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






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