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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. The mathematical process of obtaining the derivative of a function






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






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






4. 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






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






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






7. Intervals in which the second derivative is positive






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






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






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






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






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






13. 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






14. 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






15. 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






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






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






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






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






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






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






22. 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)






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






24. d = v[( x2 - x1)² + (y2 - y1)²]






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






26. ex) dx - dy etc






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






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






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






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






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. 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)






33. 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






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






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






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






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






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






39. 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






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






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






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. A limit in which f(x) increases or decreases without bound - as x approaches c






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






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






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






47. The process of evaluating an indefinite integral






48. A²=(b²+c²)-2(ab)Cos(A)






49. dy/dx






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