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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. 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)






2. 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))






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






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






5. 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






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






7. 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






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






9. 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






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






11. 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)






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






13. 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)






14. Having the limits or boundaries established






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






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






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






18. 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






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






20. 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






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






22. A function f that gives the position f(t) of a body on a coordinate axis at time t






23. If there is some number B that is greater than or equal to every number in the range of f






24. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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






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






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






28. N(1-r)^x






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






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






31. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






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






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






41. The process of evaluating an indefinite integral






42. 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






43. dy/dx






44. Intervals on which the second derivative is negative






45. Input of function






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






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






48. 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






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






50. A point where a function changes concavity; also - where the second derivative changes signs







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