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






2. 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)






3. 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






4. The smallest y-value of the function






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






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






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. The inverse of an eponential function






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






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






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






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






14. 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






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






16. 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






17. 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






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






19. The value of the function at a critical point






20. Dividing an interval into n sub-intervals






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






22. Two curves that have perpendicular tangents at the point of tangency






23. 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






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






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






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






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






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






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






30. Having the limits or boundaries established






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






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






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






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






35. 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






36. 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)






37. d = v[( x2 - x1)² + (y2 - y1)²]






38. Intervals on which the second derivative is negative






39. ex) dx - dy etc






40. The process of evaluating an indefinite integral






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






42. 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)






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






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






45. Input of function






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






47. 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






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






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






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