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Test your basic knowledge |
AP Calculus Ab
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. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
initial condition
perpendicular curves
transcendental function
absolute maximum
2. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
complex number
average rate of change
amplitude
limit at infinity
3. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
differential equation
integrand
normal line
order of a derivative
4. 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
parallel curve
extreme value theorem
order of a derivative
first derivative test
5. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
initial condition
integrable function
bounded below
integration by substitution
6. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
even function
limit at infinity
difference quotient
Algebraic function
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
removable discontinuity
mean value theorem for definite integrals
conic section
related rates
8. The value of the function approaches as x increases or decreases without bound
limit at infinity
indefinite integral
constant of integration
even function
9. Imaginary line drawn perpendicular to the surface of a mirror or any surface
logarithmic function
piecewise defined function
normal line
domain
10. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
cartesian coordinate system
even function
parallel curve
parameter
11. A given value of x and f(x) used to find the constant of integration
initial condition
difference quotient
definite integral
related rates
12. ex) dx - dy etc
indefinite integral
second derivative test
differential
Mean Value theorem for derivatives
13. A function that can be graphed w/ a line or smooth curve
continuous function
first derivative test
power series
indefinite integral
14. 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
concave down
antiderivative
Antidifferentiation- check
Radian
15. A function that is continuous on both the left and right side at that point
continuity at a point
exponential function
continuity on an interval
root of an equation
16. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
transcendental function
law of cosine
instantaneous rate of change
17. Intervals on which the second derivative is negative
trapezoidal rule
concave down
indefinite integral
non removable discontinuity
18. 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
exponential growth and decay
cosecant function
integration by substitution
trapezoidal rule
19. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
left hand sum
law of cosine
definite integral
acceleration
20. sinA/a=sinB/b=sinC/c
law of sines
limit of integration
cross sectional area
concave up
21. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
average rate of change
acceleration
cartesian coordinate system
odd function
22. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
extreme value theorem
parameter
acceleration
absolute minimum
23. 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
antiderivative
instantaneous rate of change
limit at infinity
integrand
24. An undetermined constant added to every result of integration (the added +c)
concave down
Mean Value theorem for derivatives
constant of integration
numerical derivative
25. Amount of change / time it takes (amount of change/ length of interval)
differential equation
non removable discontinuity
average rate of change
right hand sum
26. Input of function
initial condition
constant of integration
domain
non removable discontinuity
27. 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)
cosecant function
numerical derivative
first derivative test
law of sines
28. The smallest y-value of the function
absolute minimum
root of an equation
derivative
differential equation
29. Two curves that have perpendicular tangents at the point of tangency
asymptote
piecewise defined function
perpendicular curves
differential
30. Curve whose points are at a fixed normal distance of a given curve
parallel curve
Total change Theorem
definite integral
limit of integration
31. A point where a function changes concavity; also - where the second derivative changes signs
rational function
inflection point
integrable function
perpendicular curves
32. A logarithm with the base e - written as ln
Rolle's Theorem
odd function
natural logarithm
complex number
33. The value of the function at a critical point
continuity on an interval
critical value
law of sines
amplitude
34. The behavior of the graph of a function as x approaches positive infinity or negative infinity
limit of integration
bounded below
complex number
end behavior
35. Dividing an interval into n sub-intervals
partition of an interval
instantaneous rate of change
inflection point
root of an equation
36. A measure of how a function changes as its input changes.
right hand sum
bounded above
derivative
end behavior
37. A function f that gives the position f(t) of a body on a coordinate axis at time t
instantaneous velocity
position function
absolute minimum
piecewise defined function
38. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
amplitude
Intermediate value theorem
odd function
indefinite integral
39. A²=(b²+c²)-2(ab)Cos(A)
left hand limit
decay model
law of cosine
partition of an interval
40. A surface or shape exposed by making a straight cut through something at right angles to the axis.
leibniz notation
cross sectional area
exponential function
difference quotient
41. The limit of f as x approaches c from the right
amplitude
right hand limit
indefinite integral
instantaneous velocity
42. The value that a function is approaching as x approaches a given value through values less than x
order of a derivative
differential equation
left hand limit
dummy variable of integration
43. 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)
linear approximation
integration by substitution
initial condition
Mean Value theorem for derivatives
44. A line that divides a figure in half so that each half is the mirror image of the other.
differentiability
bounded below
differential
axis of symmetry
45. A function whose domain is divided into several parts and a different function rule is applied to each part
piecewise defined function
power series
definite integral
differentiation
46. dy/dx
complex number
leibniz notation
removable discontinuity
infinite limit
47. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
parameter
differential
cartesian coordinate system
odd function
48. 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
acceleration
Total change Theorem
constant function
cross sectional area
49. Having the limits or boundaries established
critical point
bounded
parameter
differential
50. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
circular function
related rates
indefinite integral