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AP Calculus Ab

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 process of evaluating an indefinite integral
mean value theorem for definite integrals
infinite limit
Algebraic function
Antidifferentiation- check

2. The value of the function at a critical point
inflection point
critical value
dummy variable of integration
non removable discontinuity

3. A measure of how a function changes as its input changes.
integration by substitution
derivative
Radian
piecewise defined function

4. The limit of f as x approaches c from the right
logarithmic function
inflection point
right hand limit
even function

5. N(1-r)^x
domain
Fundamental theorem of calculus
decay model
differential

6. 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
right hand sum
bounded above
absolute value
integrable function

7. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
power series
continuous function
infinite limit
initial condition

8. A function that is continuous on both the left and right side at that point
bounded
second derivative test
continuous function
continuity at a point

9. The smallest y-value of the function
absolute minimum
difference quotient
Mean Value theorem for derivatives
odd function

10. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
Fundamental theorem of calculus
integrable function
endpoint extremum
indefinite integral

11. A point where a function changes concavity; also - where the second derivative changes signs
constant of integration
left hand limit
extreme value theorem
inflection point

12. Curve whose points are at a fixed normal distance of a given curve
non removable discontinuity
distance formula
cosecant function
parallel curve

13. 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
continuous function
concave down
differential
root of an equation

14. A point that represents the maximum value a function assumes over its domain
law of cosine
order of a derivative
parameter
absolute maximum

15. Either of the endpoints of an interval over which a definite integral is to be evaluated
local linearity
odd function
cartesian coordinate system
limit of integration

16. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
transcendental function
concave up
limit of integration

17. 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
exponential function
absolute value
right hand limit
Total change Theorem

18. Dividing an interval into n sub-intervals
second derivative test
extremum
Rolle's Theorem
partition of an interval

19. A surface or shape exposed by making a straight cut through something at right angles to the axis.
definite integral
cross sectional area
exponential function
Antidifferentiation- check

20. A function that is a fixed numerical value for all elements of the domain of the function
endpoint extremum
constant function
complex number
dummy variable of integration

21. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
bounded below
acceleration
differentiation
left hand sum

22. 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.

23. Intervals in which the second derivative is positive
continuous function
concave up
law of sines
complex number

24. Selection of a best element from some set of available alternatives.
Radian
right hand limit
optimization
acceleration

25. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
transcendental function
infinite limit
Intermediate value theorem
order of a derivative

26. Intervals on which the second derivative is negative
concave down
cosecant function
odd function
order of a derivative

27. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
logarithmic function
integration by substitution
dummy variable of integration
exponential growth and decay

28. The value that a function is approaching as x approaches a given value through values less than x
numerical derivative
Intermediate value theorem
left hand limit
perpendicular curves

29. d = v[( x2 - x1)² + (y2 - y1)²]
non removable discontinuity
distance formula
dummy variable of integration
logarithmic function

30. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
derivative
Algebraic function
critical value
difference quotient

31. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
exponential growth and decay
limit at infinity
Algebraic function
law of sines

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)
constant function
Fundamental theorem of calculus
rational function
end behavior

33. sinA/a=sinB/b=sinC/c
parameter
law of sines
continuous function
domain

34. If there is some number B that is greater than or equal to every number in the range of f
bounded above
parallel curve
Algebraic function
complex number

35. The function that is integrated in an integral
cartesian coordinate system
implicit differentiation
integrand
integration by substitution

36. A straight line that is the limiting value of a curve
distance formula
integrable function
Total change Theorem
asymptote

37. (geometry)A curve generated by the intersection of a plane or circular cone
infinite limit
antiderivative
conic section
bounded below

38. dy/dx
Radian
even function
leibniz notation
extreme value theorem

39. The distance a number is from 0 on a number line
absolute value
limit of integration
difference quotient
constant function

40. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
differentiation
complex number
first derivative test
circular function

41. 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
power series
instantaneous rate of change
parameter
mean value theorem for definite integrals

42. The inverse of an eponential function
parallel curve
logarithmic function
instantaneous rate of change
parameter

43. Ratio between the length of an arc and its radius
asymptote
end behavior
linear approximation
Radian

44. A²=(b²+c²)-2(ab)Cos(A)
integrable function
law of cosine
position function
cosecant function

45. The reciprocal of the sine function
right hand limit
cosecant function
integration by substitution
local linearity

46. 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
integrable function
integrand
instantaneous velocity
trapezoidal rule

47. A variable occurring in a function - but on which the value of the function does not depend
conic section
dummy variable of integration
absolute value
piecewise defined function

48. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
complex number
acceleration
endpoint extremum
perpendicular curves

49. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
leibniz notation
bounded
cartesian coordinate system
piecewise defined function

50. 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
complex number
parallel curve
related rates
power series