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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. 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
constant of integration
extremum
instantaneous velocity
odd function
2. A line that divides a figure in half so that each half is the mirror image of the other.
absolute maximum
axis of symmetry
Total change Theorem
integration by substitution
3. If there is some number b that is less than or equal to every number in the range of f
Radian
integrand
continuity at a point
bounded below
4. The function that is integrated in an integral
cartesian coordinate system
cross sectional area
integrand
Fundamental theorem of calculus
5. (geometry)A curve generated by the intersection of a plane or circular cone
Mean Value theorem for derivatives
Total change Theorem
differentiability
conic section
6. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
complex number
differential
infinite limit
definite integral
7. ex) dx - dy etc
Antidifferentiation- check
differential
difference quotient
integrable function
8. Input of function
integrand
indefinite integral
Mean Value theorem for derivatives
domain
9. sinA/a=sinB/b=sinC/c
constant function
law of sines
differential
asymptote
10. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
indefinite integral
antiderivative
domain
definite integral
11. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
optimization
normal line
acceleration
right hand limit
12. 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)
antiderivative
derivative
dummy variable of integration
numerical derivative
13. The distance a number is from 0 on a number line
right hand limit
absolute value
law of sines
continuity on an interval
14. Intervals on which the second derivative is negative
numerical derivative
partition of an interval
concave down
conic section
15. A function that possesses a finite integral; the function must be continuous on the interval of integration
transcendental function
integrable function
numerical derivative
extreme value theorem
16. A surface or shape exposed by making a straight cut through something at right angles to the axis.
circular function
acceleration
logarithmic function
cross sectional area
17. 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
absolute value
difference quotient
root of an equation
continuity at a point
18. 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
odd function
Intermediate value theorem
rational function
perpendicular curves
19. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
indefinite integral
bounded below
first derivative test
exponential growth and decay
20. Dividing an interval into n sub-intervals
transcendental function
left hand limit
partition of an interval
logarithmic function
21. Having the limits or boundaries established
average rate of change
logarithmic function
bounded
right hand sum
22. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.
difference quotient
non removable discontinuity
derivative
infinite limit
23. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
Radian
rational function
cartesian coordinate system
numerical derivative
24. A function that is continuous at every point on the interval
cross sectional area
Algebraic function
Antidifferentiation- check
continuity on an interval
25. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
differential equation
differential
extremum
perpendicular curves
26. The mathematical process of obtaining the derivative of a function
concave down
Intermediate value theorem
differentiation
trapezoidal rule
27. 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
antiderivative
average rate of change
trapezoidal rule
left hand sum
28. Any value in the domain where either the function is not differentiable or its derivative is 0.
mean value theorem for definite integrals
non removable discontinuity
rational function
critical point
29. Selection of a best element from some set of available alternatives.
integrand
non removable discontinuity
optimization
odd function
30. 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
extremum
derivative
related rates
cartesian coordinate system
31. 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)
Mean Value theorem for derivatives
parallel curve
absolute minimum
Antidifferentiation- check
32. The smallest y-value of the function
differentiability
removable discontinuity
absolute minimum
logarithmic function
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
critical point
average rate of change
order of a derivative
left hand sum
34. A straight line that is the limiting value of a curve
order of a derivative
indefinite integral
asymptote
perpendicular curves
35. Curve whose points are at a fixed normal distance of a given curve
logarithm laws
even function
parallel curve
absolute maximum
36. An undetermined constant added to every result of integration (the added +c)
constant of integration
absolute minimum
exponential function
root of an equation
37. 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)
normal line
mean value theorem for definite integrals
Intermediate value theorem
removable discontinuity
38. 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
transcendental function
complex number
Radian
right hand sum
39. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
antiderivative
Algebraic function
Radian
law of cosine
40. A function that is continuous on both the left and right side at that point
extreme value theorem
continuity at a point
piecewise defined function
absolute maximum
41. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
right hand sum
cartesian coordinate system
bounded above
power series
42. A function that is a fixed numerical value for all elements of the domain of the function
continuous function
constant function
Fundamental theorem of calculus
amplitude
43. A function whose domain is divided into several parts and a different function rule is applied to each part
definite integral
right hand sum
piecewise defined function
indefinite integral
44. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
critical point
Rolle's Theorem
domain
45. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
even function
distance formula
rational function
46. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
integration by substitution
left hand limit
Intermediate value theorem
continuity on an interval
47. A²=(b²+c²)-2(ab)Cos(A)
infinite limit
end behavior
perpendicular curves
law of cosine
48. Functions of angles
logarithmic function
circular function
endpoint extremum
constant of integration
49. A limit in which f(x) increases or decreases without bound - as x approaches c
Intermediate value theorem
even function
derivative
infinite limit
50. Imaginary line drawn perpendicular to the surface of a mirror or any surface
limit at infinity
normal line
linear approximation
Algebraic function