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Test your basic knowledge |
AP Calculus Vocab
Start Test
Study First
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. Either of the endpoints of an interval over which a definite integral is to be evaluated
amplitude
limit of integration
base (exponential and logarithmic)
arctangent function
2. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
middle sum
region (in a plane)
coefficient
antiderivative
3. The ratio x/r with r being the distance of (x -y) from the origin
integrable function
cosine function
region (in a plane)
piecewise-defined function
4. The process by which an antiderivative is calculated
acceleration
dy/dx (Leibniz notation)
axis of symmetry
integration
5. The inverse of the cosine function
cotangent function
secant function
arccosine function
critical point
6. The horizontal axis of the Cartesian coordinate system
discontinuity
second derivative
odd function
x-axis
7. A point where a function changes concavity; also - where the second derivative changes signs
arccosine function
origin
first derivative test
inflection point
8. The rate of change of the velocity with respect to time. the second derivative of a position function
dy/dx (Leibniz notation)
differentiability
domain
acceleration
9. The highest value of a function for each value of the domain
second derivative test
coefficient
discontinuity
maximum
10. The set of points in a plane that are equidistant from a given point
increasing on an interval
concave down
antiderivative
circle
11. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
middle sum
y-intercept
related rates
cross-sectional area
12. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.
solid of revolution
antidifferentiation
trapezoidal rule
coefficient
13. The y-coordinate of a point where a curve intersects the y-axis
arccosine function
critical point
extrenum
y-intercept
14. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
x-intercept
increasing on an interval
tangent function
limit
15. The solid figure generated by revolving a plane region around a line
integration by substitution
solid of revolution
concave down
local linearization
16. In an application - maximizing or minimizing some aspect of the system being modeled
indefinite integral
sine function
maximum
optimization
17. The absolute value or magnitude of velocity
speed
velocity
constant function
cosine function
18. The function that is integrated in an integral
right-hand limit
slope
product rule
integrand
19. A function that is defined by applying different formulas to different parts of its domain
constant of integration
solid of revolution
piecewise-defined function
absolute maximum
20. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis
implicit differentiation
cross-sectional area
slope
cosecant function
21. The smallest value of a function for each value of the domain
solid of revolution
minimum
amplitude
absolute minimum
22. A number which serves as an estimate of a desired number
concave down
tangent function
linear approximation
approximation
23. A segment from the center of the circle to a point on the circle
axis of rotation
limit
radius of a circle
second derivative
24. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
sine function
critical value
closed interval [a -b]
25. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val
coefficient
first derivative test
zero of a function
cross-sectional area
26. A function has a relative minimum if the derivative changes signs from negative to zero to positive
tangent line
limit of integration
constant of integration
relative minimum
27. Having an increasing derivative as the independent variable increases - having a positive second derivative
local extrema
tangent line
concave up
x-intercept
28. For all x in [a -b] - f'(x)<0
decreasing on an interval
limit of integration
sine function
natural logarithm
29. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
increasing on an interval
absolute minimum
left-hand sum
integration
30. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
domain
arctangent function
arccosine function
31. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression
arcsine function
piecewise-defined function
antiderivative
coefficient
32. The rate of change of position with respect to time
natural logarithm
arcsine function
velocity
continuity on an interval
33. The differentiation of an implicit function with respect to the independent variable
antidifferentiation
solid of revolution
implicit differentiation
relative maximum
34. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
constant function
continuity on an interval
indefinite integral
right-hand limit
35. The vertical axis of the Cartesian coordinate system
coefficient
integrand
y-axis
first derivative test
36. f(-x)= -f(x)
continuous function
odd function
trapezoidal rule
acceleration
37. Notation used for the first derivative of a function
relative maximum
sine function
dy/dx (Leibniz notation)
absolute minimum
38. A method of obtaining the derivative of a composite function
implicit differentiation
local linearization
arctangent function
chain rule
39. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
tangent function
absolute minimum
circle
40. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
origin
product rule
first derivative test
secant line
41. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
secant line
instantaneous velocity
cosine function
region (in a plane)
42. The inverse of the tangent function
antiderivative
piecewise-defined function
limit
arctangent function
43. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
x-intercept
first derivative test
tangent function
sine function
44. 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
related rates
integrand
local linearization
amplitude
45. The function y=lnx is the inverse of the exponential function y=e^x
right-hand limit
circle
linear approximation
natural logarithm
46. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined
discontinuity
secant line
absolute minimum
middle sum
47. The reciprocal of the cosine function
circle
axis of rotation
secant function
continuous function
48. If a function has a well-defined derivative for each element of the domain
speed
implicit differentiation
integrand
differentiability
49. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)
tangent line
second derivative test
odd function
separable differential equation
50. The limit of f as x approaches c from the right
integrand
right-hand limit
arccosine function
slope