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






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






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






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






5. 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)






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






7. The value of the function at a critical point






8. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






12. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






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






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






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






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






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






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






19. Having the limits or boundaries established






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






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






22. Input of function






23. 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






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






25. The smallest y-value of the function






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






27. 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.






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






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






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






31. 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






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






33. 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






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






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






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






37. The process of evaluating an indefinite integral






38. A logarithm with the base e - written as ln






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






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






41. Dividing an interval into n sub-intervals






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






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






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






45. The function that is integrated in an integral






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






47. A²=(b²+c²)-2(ab)Cos(A)






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






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






50. 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