The quantity is 10 at t = 4.
The quantity is 0 at t = 4.
The quantity is increasing at t = 4.
Nothing about the quantity at t = 4 can be determined.
A. The quantity is 10 at t = 4.
The average population of the city on [a, b]
The change in population of the city from time a to time b
The rate of population growth at time a
The population of the city at time b
Alternating Series Test
Ratio Test
Integral Test
Comparison Test
|a| × |b| × cos(?)
|a| × |b| × sin(?)
|a| + |b|
|a| - |b|
1
0
-1
Undefined
The slope of the tangent line
The area under the curve
The concavity of the curve
The average rate of change
1/x
1
x
0
(2/3)x^(3/2) + C
(1/2)x^(3/2) + C
2vx + C
x^(3/2) + C
0
1
p
2p
A point in space
A scalar quantity
A quantity with magnitude and direction
A constant value
3x^2 + 4x - 5
6x + 4
6x^2 + 4
3x^2 + 4
lim (x -> 0) (1/x)
lim (x -> 2) (x^2 - 4)/(x - 2)
lim (x -> 1) (x^2 - 1)/(x - 1)
lim (x -> 3) (1/x^2)
z = 2x - 3y + 5
z = 2x + 3y - 5
z = 2x - 3y - 5
z = 2x + 3y + 5
f(x) = 1/x
g(x) = x^2 + 3x + 2
h(x) = |x - 2|
None of the above
12x^2 - 4x + 5
12x^2 - 4x - 5
12x^2 - 2x + 5
12x^2 - 2x - 5
The acceleration is positive.
The acceleration is negative.
The acceleration is zero.
Nothing about the acceleration can be determined.
y = x^3 + C
y = 3x + C
y = x^3/3 + C
y = 3x^3 + C
1
2
3
4
(0, 0, 0)
(1, 1, 1)
(0, 0)
(1, 1)
4/3
8/3
16/3
32/3
A circle centered at the origin
A cardioid
A parabola
A line
The average value of f(x) on [a, b]
The area between the curve y = f(x) and the x-axis on [a, b]
The derivative of f(x) at x = a
The slope of the tangent line to the curve y = f(x) at x = b
Time t
Angle ?
Radius r
Both a and b
y = x^2 + 1
y = x^2
y = 2x + 1
y = 2x
p square units
4 square units
2 square units
0 square units
25
33
41
49
2
4
8/3
16/3
Laplace transforms
Substitution
Separation of variables
Variation of parameters
The quantity is 10 at t = 4.
The quantity is 0 at t = 4.
The quantity is increasing at t = 4.
Nothing about the quantity at t = 4 can be determined.
x = rcos(?), y = rsin(?)
x = r?, y = r?
x = cos(?), y = sin(?)
x = rsin(?), y = rcos(?)
x^3 + C
x^2 + C
x^3/3 + C
3x + C