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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 reciprocal of the sine function






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






3. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






7. 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






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






9. dy/dx






10. 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






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






12. The inverse of an eponential function






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






14. A function whose domain is divided into several parts and a different function rule is applied to each part






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






16. 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)






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






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






19. Dividing an interval into n sub-intervals






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






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






22. 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






23. 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)






24. Input of function






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






26. Having the limits or boundaries established






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






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






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






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






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






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






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






34. N(1-r)^x






35. 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






36. 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






37. 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






38. 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






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






40. d = v[( x2 - x1)² + (y2 - y1)²]






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






42. 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)






43. ex) dx - dy etc






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






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






46. 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






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






48. 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)






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






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