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AP Calculus AB Last Day! Flashcards | StudBud
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AP Calculus AB Last Day!
AP Calculus AB Last Day!
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AP Calculus AB Review
Flashcards
41 cards
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Questions
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Answers
1
The graph below represents the velocity of a bug. At what time does the bug change direction?
2
6
7
4
2
Choose the correct answer: (d/dx)[4
3x
] =
43x·3
43x·ln(3x)·3
43x·ln(4)·3
ln(4)·3
3
Choose the correct answer: (d/dx)[cot(2x)] =
2sec(2x)tan(2x)
-2csc(2x)tan(2x)
-2csc2(2x)
2sec2(2x)
4
What method is used to find rotational volume?
washer or disk method
L'Hopital's method
Newton's method
Pascal's method
5
The first derivative of a function provides information about the _______ of that function.
slope
speed
acceleration
concavity
6
Which football player was not drafted in the first round of the NFL draft this year?
Trevor Lawrence
Devonta Smith
Travis Etienne
Javonte Williams
7
Choose the correct answer: ∫4
x
dx
xln(4) + C
4x / ln(4) + C
4ln∣x∣ + C
2x-2 + C
8
Winston Churchill and Franklin D. Roosevelt signed which document aboard the HMS Prince of Wales in 1941?
The Treaty of Versailles
The Atlantic Charter
The Treaty of Paris
The Magna Carta
9
To find position from acceleration, you must...
find the 1st derivative
integrate twice
integrate once
find the 2nd derivative
10
Choose the correct answer.
7/27
25/27
-25/27
-7/27
11
Choose the correct answer: ∫sin(x)
dx
sin(x)cos(x) + C
cos2(x) + C
-cos(x) + C
cos(x) + C
12
Choose the correct answer.
-6x2sin(x3)cos(x3)
6x2cos(x3)
6x2sin(x3)cos(x3)
-6x2sin(x3)
13
Choose the correct answer: ∫csc(x)cot(x)
dx
cot(x) + C
-csc(x) + C
sec(x) + C
-cot2(x) + C
14
For all related rates problems, you must derive each term with respect to
time
x
volume
area
15
Which bird can run the fastest, up to 43 mph?
Ostrich
Roadrunner
Canada Goose
Emperor Penguin
16
Choose the correct answer: (d/dx)[csc(4x)] =
-4csc(4x)tan(4x)
-4csc(4x)cot(4x)
4csc(4x)cot(4x)
4sec2(4x)
17
An equation of the line tangent to the graph of y = cos(2x) at x = π/4 is
y-1 = 2(x - π/4)
y -1= -2(x - π/4)
y = 2(x - π/4)
y = -2(x - π/4)
18
Find the lim
x→0
(sin
x
/ 2x)
-2
0
-1
1/2
19
Choose the correct answer: (d/dx)[
e
u
] =
ueu
ueu·u'
eu + C
eu·u'
20
Choose the correct answer: (d/dx)[sin(lnx)] =
csc(lnx)(1/x)
cos(lnx)(1/x)
tan(lnx)(1/x)
-cos(lnx)(1/x)
21
Choose the correct answer: (d/dx)[cos(sinx)] =
cosxcos2(sinx)
cosxcsc(sinx)
cosxsin(sinx)
-cosxsin(sinx)
22
In the Roman numerical system, what number does LVI represent?
104
94
16
56
23
Choose the correct answer.
2
36
6
4
24
The second derivative of a function provides information about the _______ of that function.
slope
acceleration
concavity
speed
25
Choose the correct answer: (d/dx)[sec(sinx)] =
-cosxcsc(sinx)cot(sinx)
cosxsec(sinx)tan(sinx)
-cosxcsc(sinx)tan(sinx)
cosxsec(sinx)cot(sinx)
26
Choose the correct answer.
e(-t/2) + C
e(t/2) + C
e-t + C
2e(t/2) + C
27
On August 5, 2013, what did the Mars Curiosity rover do?
collect diamonds on Mars
discover life on Saturn
Permanently lose contact with Earth
hum the birthday song
28
Choose the correct answer: ∫csc
2
(x)
dx
sin(x) + C
-cot(x) + C
sec(x) + C
-cot2(x) + C
29
What does the mean value theorem state (for continuous, differentiable functions)?
average slope ≠ instantaneous slope
average slope = instantaneous slope
Average slope < 0
average slope > 0
30
The area of the region enclosed by y = x
2
+ 1 and y = 5 is...
32/3
28/3
16/3
14/3
31
Choose the correct answer: (d/dx)[tan(3x
2
)] =
6xcsc(3x2)
-6xcsc2(3x2)
6xsec2(3x2)
6xsec(3x2)
32
Choose the correct answer: ∫cos(x)
dx
sin(x) + C
-sin(x) + C
sec(x) + C
cot2(x) + C
33
If the region enclosed by the y-axis, y=2, and y=\sqrt{x} is revolved about the y-axis, the volume of the solid is...
32π/5
16π/3
4π/3
8π/3
34
How do you find the area between two functions of x?
top - bottom
π(top + bottom)
∫(bottom - top)dx
∫(top - bottom)dx
35
The graph below represents the velocity of a bug. What is the total distance the bug travels on [0,8]?
13
8
14
11
36
Choose the correct answer: ∫sec
2
(x)
dx
sin(x)cos(x) + C
sin(x) + C
tan(x) + C
cot2(x) + C
37
What are all values of x for which the function f defined by f(x) = (x
2
-3)e
-x
is increasing?
-1 < x < 3
x < -1 and x > 3
-3 < x < 1
All values of x
38
Choose the correct answer.
e-1
0
1
e+1
39
In 1914, the assassination of which historical figure led to the outbreak of WWI?
Franz Ferdinand
Yitzhak Rabin
John F. Kennedy
Maximilian Wilhelm
40
Choose the correct answer: ∫sec(x)tan(x)
dx
cot2(x) + C
sec(x) + C
sec2(x) + C
tan(x) + C
41
Which river crosses the equator twice?
Congo
Danube
Nile
Mississippi
