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Trig Section 4.2 Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Identify the graph of the function

mc001-1.jpg
a.
mc001-2.jpg
d.
mc001-5.jpg
b.
mc001-3.jpg
e.
mc001-6.jpg
c.
mc001-4.jpg
 

 2. 

The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by

mc002-1.jpg

where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.
a.
The maximum value of I is 20 amperes; one complete cycle takes mc002-2.jpg seconds.
b.
The maximum value of I is 160 amperes; one complete cycle takes mc002-3.jpg seconds.
c.
The maximum value of I is 40 amperes; one complete cycle takes mc002-4.jpg seconds.
d.
The maximum value of I is 20 amperes; one complete cycle takes mc002-5.jpg seconds.
e.
The maximum value of I is 40 amperes; one complete cycle takes mc002-6.jpg seconds.
 

 3. 

Identify the graph of the function

mc003-1.jpg
a.
mc003-2.jpg
d.
mc003-5.jpg
b.
mc003-3.jpg
e.
mc003-6.jpg
c.
mc003-4.jpg
 

 4. 

Identify the graph of the function

mc004-1.jpg
a.
mc004-2.jpg
d.
mc004-5.jpg
b.
mc004-3.jpg
e.
mc004-6.jpg
c.
mc004-4.jpg
 

 5. 

A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation

mc005-1.jpg

where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position.
a.
The maximum velocity is 5.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is mc005-2.jpg seconds.
b.
The maximum velocity is 5.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is mc005-3.jpg seconds.
c.
The maximum velocity is 22 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is mc005-4.jpg seconds..
d.
The maximum velocity is 22 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is mc005-5.jpg seconds.
e.
The maximum velocity is 4.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is mc005-6.jpg seconds.
 

 6. 

Identify the graph of the function

mc006-1.jpg
a.
mc006-2.jpg
d.
mc006-5.jpg
b.
mc006-3.jpg
e.
mc006-6.jpg
c.
mc006-4.jpg
 

 7. 

Identify the graph of the function

mc007-1.jpg
a.
mc007-2.jpg
d.
mc007-5.jpg
b.
mc007-3.jpg
e.
mc007-6.jpg
c.
mc007-4.jpg
 

 8. 

Identify the graph of the function.

mc008-1.jpg
a.
mc008-2.jpg
d.
mc008-5.jpg
b.
mc008-3.jpg
e.
mc008-6.jpg
c.
mc008-4.jpg
 

 9. 

Give the amplitude and period of the graph.

mc009-1.jpg
a.
Amplitude = mc009-2.jpg, period = mc009-3.jpg.
b.
Amplitude = mc009-4.jpg, period = mc009-5.jpg.
c.
Amplitude = mc009-6.jpg, period = mc009-7.jpg.
d.
Amplitude = mc009-8.jpg, period = mc009-9.jpg.
e.
Amplitude = mc009-10.jpg, period = mc009-11.jpg.
 

 10. 

Give the amplitude and period of the graph.

mc010-1.jpg
a.
Amplitude = 9, period = mc010-2.jpg.
b.
Amplitude = 18, period = mc010-3.jpg.
c.
Amplitude = mc010-4.jpg, period = mc010-5.jpg.
d.
Amplitude = 18, period = mc010-6.jpg.
e.
Amplitude = 18, period = mc010-7.jpg.
 



 
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