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AP Calculus AB Review Part 2 Flashcards | StudBud
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AP Calculus AB Review Part 2
AP Calculus AB Review Part 2
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AP Calculus AB Review #calculus #math #ap #derivatives #integrals
Flashcards
18 cards
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Questions
18
Answers
1
Write the given area shown below as an integral. Region is bounded below by y = x
2
-4 & above by the x-axis.
A=\int_{-2}^0\left(x^2-4\right)dx
A=-\int_0^2\left(x^2-4\right)dx
A=\int_{-2}^2\left(x^2-4\right)dx
A=-\int_{-2}^2\left(x^2-4\right)dx
2
The derivative is the _____________
instantaneous velocity.
average velocity.
average rate of change.
speed.
3
Choose the correct answer.
0
e-1
e+1
1
4
The second derivative of a function provides information about the _______ of that function.
speed
slope
concavity
velocity
5
Choose the correct answer: (d/dx)[
ln(u)
] =
ueu·u'
(1/u)∙ln(u)·u'
(1/u)·u'
ln(u)·u'
6
At which points is the first derivative of function
f
equal to 0? (See Image)
a, b, e
a, d, e
b, c, f
a, d
7
What does the mean value theorem state (for continuous, differentiable functions)?
Average slope < 0
average slope > 0
average slope ≠ instantaneous slope
average slope = instantaneous slope
8
Choose the correct answer: ∫e
4x
dx
=
(1/4)e4x + C
4e4x + C
(1/4)e4x
e4x
9
Which limit gives the derivative of sin x evaluated at x = 5?
limx→5sin x - sin 5 / x - 5
limx→5cos x - cos 5 / x - 5
limh→0 sin (h+5) - sin h / 5
limh→0 sin (5+h) - sin 5 / h
10
Choose the correct answer: ∫cos(x)
dx
-sin(x) + C
cot2(x) + C
sin(x) + C
sec(x) + C
11
At what value of t does the bug change direction?
7
6
4
2
12
To find velocity from position, you must...
find the 2nd derivative
find the 1st derivative
integrate once
integrate twice
13
What is the total distance the bug traveled from t=0 to t=8?
14
8
13
11
14
The first derivative of a function provides information about the _______ of that function.
speed
acceleration
concavity
slope
15
Which of the following is the correct derivative of x⋅y with respect to x?
y⋅y'
x⋅y' + y
x + y'
y
16
Choose the correct answer: ∫sin(x)
dx
cos(x) + C
-cos(x) + C
sin(x)cos(x) + C
cos2(x) + C
17
A region enclosed by the y-axis, y=2, & y=x
1/2
is revolved about the y-axis, the volume is...
4π/3
8π/3
16π/3
32π/5
18
For all related rates problems, you must derive each term with respect to
volume
time
area
x
