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






2. 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






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






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






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






6. d = v[( x2 - x1)² + (y2 - y1)²]






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






8. 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)






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






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






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






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






13. 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






14. 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






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






16. The value of the function at a critical point






17. 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






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






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






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






21. 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)






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






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






24. 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






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






26. Functions of angles






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






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






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






30. Having the limits or boundaries established






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






32. dy/dx






33. The process of evaluating an indefinite integral






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






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






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






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






38. A²=(b²+c²)-2(ab)Cos(A)






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






40. 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






41. 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)






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. ex) dx - dy etc






44. 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






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






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






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






48. 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






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






50. 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.