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. 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






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






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






4. 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)






5. 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






6. The process of evaluating an indefinite integral






7. 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






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






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






10. The reciprocal of the sine function






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






15. 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)






16. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






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






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






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






21. 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))






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






23. The inverse of an eponential function






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






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






26. 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)






27. A surface or shape exposed by making a straight cut through something at right angles to the axis.






28. 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)






29. ex) dx - dy etc






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






31. 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)






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






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






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






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






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






37. 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


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






39. 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






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






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






42. 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






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






44. A²=(b²+c²)-2(ab)Cos(A)






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






46. 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






47. Input of function






48. 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.






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






50. 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







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