Test your basic knowledge |

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






2. 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






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






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






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






6. Having the limits or boundaries established






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






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






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






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






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






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






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






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






15. 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






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






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






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






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






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






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






22. 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)






23. Intervals in which the second derivative is positive






24. The distance a number is from 0 on a number line






25. 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






26. The inverse of an eponential function






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






28. 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.






29. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






32. 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






33. 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






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






35. The reciprocal of the sine function






36. 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






37. 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)






38. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






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






40. N(1-r)^x






41. Input of function






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






43. Functions of angles






44. 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)






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






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






47. The function that is integrated in an integral






48. A²=(b²+c²)-2(ab)Cos(A)






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






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







Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?


Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests