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G10 April 27
If y=sin(2x4), y'=
y=4sin(3x+2) - 1....What is the vertical shift?
G10 April 27
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Answers
1
y=4sin(3x+2) - 1....What is the
vertical shift
?
4
-2/3
2Pi/3
-1
2
If y=sin(2x
4
), y'=
cos(8x3)
8x3cos(2x4)
cos(2x4) + 8x3sin(2x4)
2x4cos(8x3)
3
cos(7pi/4) =
1/2
-1/2
sqrt(2)/2
-sqrt(2)/2
4
Which of the following classical music composers was not Russian?
Tchaikovsky
Shostakovich
Prokofiev
Dvorak
5
The current wealthiest person in the world is from which country?
UK
China
US
France
6
What is the definite integral of cos(x) from Pi/4 to Pi/3?
(sqrt(2) - sqrt(3)) / 2
-1
(sqrt(3) - sqrt(2)) / 2
0
7
What is the derivative of -cos(x)?
sin(x)
cos(x)
-sin(x)
csc(x)
8
If you have y=f(g(x)), and you want to find y', you can use
The Chain Rule
The Chain Ru1e
The Power Rule
The Change Rule
9
What is the
amplitude
of y = -3sin(4x) + 2
3
4
2
-3
10
Which of the following countries is not in South America?
Panama
Paraguay
Ecuador
Colombia
11
Which of the following countries is not in the Middle East?
Oman
Brunei
Bahrain
Yemen
12
Which of the following is the most populous country in Africa?
South Africa
Nigeria
Egypt
Ethiopia
13
Which of the following is not a former USSR country?
Turkmenistan
Afghanistan
Uzbekistan
Kazakhstan
14
If y=tan(x), y'=
-csc2(x)
sec2(x)
-csc(x)cot(x)
sec(x)tan(x)
15
What is the indefinite integral of 3x
2
?
x3 + C
x2/3 + C
6x + C
6x3/3 + C
16
What is d/dx[3x
7
- sqrt(x)] ?
3x8/8 + C
21x6 + sqrt(x)/2
21x6 - x3/2
21x6 - 1/2*sqrt(x)
17
Which formula gives the slope of the tangent line of y= x
5
- 3x
2
+ 4x for any given value of x?
y = x6/6 - 3x3/3 + 4x2/2 + C
y = x6/6 - 3x3/3 + 4x2/2
y = 4x5 - 6x + 4
y = 5x4 - 6x + 4
18
What is the derivative of sin(x)?
-cos(x)
sin(x)/cos(x)
-sin(x)
cos(x)
19
What is the definite integral from 2 to 5 of
xdx
?
52/22 - x2/c2
21/2
10
x2/2 + C
20
Which of the following is not a city in Southeast Asia?
Dhaka
Hanoi
Phnom Penh
Vientiane
21
If you have y=f(x) / g(x), and you want to find y', you can use
The Power Rule
The Product Rule
The Quotient Rule
The Chain Rule
22
What is the capital of Brazil?
Salvador
Rio de Janeiro
Brasilia
Sao Paulo
23
What is the area under the curve of y = 2x
5
from x=1 to x=2?
21
2x6/6 + C
62
12x
24
If y=cos(x), what is y'''?
sin(x)
-cos(x)
cos2(x)
-sin(x)
25
y = 3x
2
sin(x), y' =
6xcos(6x)
6xsin(x) + 3x2cos(x)
6xcos(3x2)
6x2sin(x) + 3xcos(x)
26
Which of the following countries is the most populous?
Canada
Brazil
UK
Thailand
27
What is the indefinite integral of sin(x)?
sin(x) + C
-sin(x) + C
-cos(x) + C
cos(x) + C
28
If you have y=f(x)*g(x), and you want to find y', you can use
The Quotient Rule
The Chain Rule
The Product Rule
The Power Rule
29
What is the period of y=cos(x)?
4Pi
Pi
2Pi
Pi/2
30
What is the capital of Alaska?
Washington
Juneau
Wasilla
Anchorage
31
Which of the following countries is not in North America?
Nicaragua
Cuba
Guyana
Costa Rica
32
What is the definite integral from 1 to 4 of
x
1/2
dx
?
14/3
15/4
15/3
5/2
