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Deck 27: Graphs of Sine and Cosine Functions
Full screen (f)
Question
Select the graph of the function.(Include two full periods. )
Y = sin 2x
A)
B)
C)
D)
E)
Y = sin 2x
A)
B)
C)
D)
E)
Question
Select the graph of the function.(Include two full periods. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the period and amplitude.
Y = 7 sin 40x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period:
;Amplitude: 
D)Period: 2π;Amplitude: 1
E)Period:
;Amplitude: 7
Y = 7 sin 40x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period:
;Amplitude: D)Period: 2π;Amplitude: 1
E)Period:
;Amplitude: 7 Question
Find the period and amplitude. 
A)Period: 2π;Amplitude: 1
B)Period:
;Amplitude: 
C)Period: π;Amplitude:
D)Period: π;Amplitude: 5
E)Period:
;Amplitude: 
A)Period: 2π;Amplitude: 1
B)Period:
;Amplitude: C)Period: π;Amplitude:
D)Period: π;Amplitude: 5
E)Period:
;Amplitude: Question
Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of π,an amplitude of 6,a left phase shift of π,and a vertical translation down
units.
A)
B)
C)
D)
E)
A cosine curve with a period of π,an amplitude of 6,a left phase shift of π,and a vertical translation down
units.
A)
B)
C)
D)
E)
Question
Find the period and amplitude. 
A)Period: 1;Amplitude:
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 1
D)Period:
;Amplitude: 
E)Period: π;Amplitude: 5
A)Period: 1;Amplitude:
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 1
D)Period:
;Amplitude: E)Period: π;Amplitude: 5
Question
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by 
,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)14 cycles/min
B)11 cycles/min
C)10 cycles/min
D)15 cycles/min
E)12 cycles/min
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)14 cycles/min
B)11 cycles/min
C)10 cycles/min
D)15 cycles/min
E)12 cycles/min
Question
Use a graphing utility to select the graph of the function.Include two full periods. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the period and amplitude.
Y = -7 sin x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 7
D)Period: 2π;Amplitude:
E)Period: 2π;Amplitude: 1
Y = -7 sin x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 7
D)Period: 2π;Amplitude:
E)Period: 2π;Amplitude: 1
Question
Select the graph of the function.(Include two full periods. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph of the function.(Include two full periods. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by 
,
Where t is the time (in seconds).
(Inhalation occurs when v > 0,and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)7 sec
B)9 sec
C)3 sec
D)8 sec
E)6 sec
, Where t is the time (in seconds).
(Inhalation occurs when v > 0,and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)7 sec
B)9 sec
C)3 sec
D)8 sec
E)6 sec
Question
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by 
,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
Question
Use a graphing utility to select the graph of the function.Include two full periods.
Y = -2 sin (2x + π)
A)
B)
C)
D)
E)
Y = -2 sin (2x + π)
A)
B)
C)
D)
E)
Question
Use a graphing utility to select the graph of the function.Include two full periods. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph of the function.(Include two full periods. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write an equation for the function that is described by the given characteristics.
A sine curve with a period of π,an amplitude of 4,a right phase shift of
,and a vertical translation up 7 units.
A)y = 10 + 4 sin (2x + π)
B)y = 7 + 4 sin (2x - π)
C)y = 9 - 4 sin (2x + π)
D)y = 8 + 4 sin (- 2x - π)
E)y = 11 + 7 sin (2x - π)
A sine curve with a period of π,an amplitude of 4,a right phase shift of
,and a vertical translation up 7 units.
A)y = 10 + 4 sin (2x + π)
B)y = 7 + 4 sin (2x - π)
C)y = 9 - 4 sin (2x + π)
D)y = 8 + 4 sin (- 2x - π)
E)y = 11 + 7 sin (2x - π)
Question
Write an equation for the function that is described by the given characteristics.
A sine curve with a period of 4π,an amplitude of 4,a left phase shift of
,and a vertical translation down 5 units.
A)
B)
C)
D)
E)
A sine curve with a period of 4π,an amplitude of 4,a left phase shift of
,and a vertical translation down 5 units.
A)
B)
C)
D)
E)
Question
Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of 4π,an amplitude of 7,a right phase shift of
,and a vertical translation up 2 units.
A)
B)
C)
D)
E)
A cosine curve with a period of 4π,an amplitude of 7,a right phase shift of
,and a vertical translation up 2 units.
A)
B)
C)
D)
E)
Question
Select the graph of the function.(Include two full periods. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by 
,
Where t is the time (in days),with t = 1 corresponding to January 1.
Use a graphing utility to select the graph of the model.
A)
B)
C)
D)
E)
, Where t is the time (in days),with t = 1 corresponding to January 1.
Use a graphing utility to select the graph of the model.
A)
B)
C)
D)
E)
Question
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by 
,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)12 cycles/min
B)10 cycles/min
C)15 cycles/min
D)13 cycles/min
E)11 cycles/min
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)12 cycles/min
B)10 cycles/min
C)15 cycles/min
D)13 cycles/min
E)11 cycles/min
Question
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by 
,
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the period of the model?
A)31 days
B)22 days
C)183 days
D)365 days
E)30 days
, Where t is the time (in days),with t = 1 corresponding to January 1.
What is the period of the model?
A)31 days
B)22 days
C)183 days
D)365 days
E)30 days
Question
Find a,b,and c for the function f(x)= a cos (bx - c)such that the graph of f(x)matches the graph below. 
A)a = -2;b = -1;c=
B)a = 4;b = 1;c = π
C)a = 1;b = 2;c = -1
D)a = 2;b = 1;c = -π
E)a = 2;b = 1;c =
π
A)a = -2;b = -1;c=
B)a = 4;b = 1;c = π
C)a = 1;b = 2;c = -1
D)a = 2;b = 1;c = -π
E)a = 2;b = 1;c =
π Question
Use a graphing utility to graph the function below.Be sure to include at least two full periods. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by
Y = 0.001 sin 850πt,
Where t is the time (in seconds).
The frequency is given by f = 1 / p.What is the frequency of the note?
A)85 cycles/sec
B)
cycles/sec
C)
cycles/sec
D)850 cycles/sec
E)425 cycles/sec
Y = 0.001 sin 850πt,
Where t is the time (in seconds).
The frequency is given by f = 1 / p.What is the frequency of the note?
A)85 cycles/sec
B)
cycles/secC)
cycles/secD)850 cycles/sec
E)425 cycles/sec
Question
Determine which of the graphs below represents the following function y=|x|sin x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the graph of the function below,being sure to include at least two full periods.
y = 2 cos( x -
) 
A)
B)
C)
D)
E)
y = 2 cos( x -
) A)
B)
C)
D)
E)
Question
When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by
Y = 0.001 sin 880πt,
Where t is the time (in seconds).
What is the period of the function?
A)
sec
B)440 sec
C)
sec
D)880 sec
E)88 sec
Y = 0.001 sin 880πt,
Where t is the time (in seconds).
What is the period of the function?
A)
secB)440 sec
C)
secD)880 sec
E)88 sec
Question
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by 
,
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?
A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.
, Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?
A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.
Question
Sketch the graph of the function below,being sure to include at least two full periods.
Y = - cos(x+
) 
A)
B)
C)
D)
E)
Y = - cos(x+
) A)
B)
C)
D)
E)
Question
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by 
,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
Question
Determine the period and amplitude of the following function 
A)Period: 10
;Amplitude: 6
B)Period:
;Amplitude: 3
C)Period: 8
;Amplitude: 4
D)Period:
;Amplitude: 3
E)Period: 5
;Amplitude: 2
A)Period: 10
;Amplitude: 6B)Period:
;Amplitude: 3C)Period: 8
;Amplitude: 4D)Period:
;Amplitude: 3E)Period: 5
;Amplitude: 2 Question
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by 
, where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)6 sec
B)2 sec
C)7 sec
D)3 sec
E)8 sec
, where t is the time (in seconds).(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)6 sec
B)2 sec
C)7 sec
D)3 sec
E)8 sec
Question
Determine the period and amplitude of the following function 
A)Period: 16
;Amplitude: 10
B)Period:
;Amplitude: 5
C)Period: 5
;Amplitude: 6
D)Period:
;Amplitude: 5
E)Period: 8
;Amplitude: 4
A)Period: 16
;Amplitude: 10B)Period:
;Amplitude: 5C)Period: 5
;Amplitude: 6D)Period:
;Amplitude: 5E)Period: 8
;Amplitude: 4 Question
Find a and d for the function f(x)= a sin x + d such that the graph of f(x)matches the graph below. 
A)a = 2;d = -1
B)a = 4;d = 1
C)a = -2;d = 1
D)a = 2;d = 2
E)a = 4;d = -3
A)a = 2;d = -1
B)a = 4;d = 1
C)a = -2;d = 1
D)a = 2;d = 2
E)a = 4;d = -3
Question
Use a graphing utility to graph the function below.Be sure to include at least two full periods. y = 4 sin (x - 5π)+ 1
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Deck 27: Graphs of Sine and Cosine Functions
1
Select the graph of the function.(Include two full periods. )
Y = sin 2x
A)
B)
C)
D)
E)
Y = sin 2x
A)
B)
C)
D)
E)
2
Select the graph of the function.(Include two full periods. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Find the period and amplitude.
Y = 7 sin 40x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period: ;Amplitude:
D)Period: 2π;Amplitude: 1
E)Period: ;Amplitude: 7
Y = 7 sin 40x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period:
;Amplitude: D)Period: 2π;Amplitude: 1
E)Period:
;Amplitude: 7Period: ;Amplitude: 7
;Amplitude: 7 4
Find the period and amplitude.
A)Period: 2π;Amplitude: 1
B)Period: ;Amplitude:
C)Period: π;Amplitude:
D)Period: π;Amplitude: 5
E)Period: ;Amplitude:
A)Period: 2π;Amplitude: 1
B)Period:
;Amplitude: C)Period: π;Amplitude:
D)Period: π;Amplitude: 5
E)Period:
;Amplitude: Unlock Deck
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5
Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of π,an amplitude of 6,a left phase shift of π,and a vertical translation down units.
A)
B)
C)
D)
E)
A cosine curve with a period of π,an amplitude of 6,a left phase shift of π,and a vertical translation down
units.
A)
B)
C)
D)
E)
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6
Find the period and amplitude.
A)Period: 1;Amplitude:
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 1
D)Period: ;Amplitude:
E)Period: π;Amplitude: 5
A)Period: 1;Amplitude:
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 1
D)Period:
;Amplitude: E)Period: π;Amplitude: 5
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7
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)14 cycles/min
B)11 cycles/min
C)10 cycles/min
D)15 cycles/min
E)12 cycles/min
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)14 cycles/min
B)11 cycles/min
C)10 cycles/min
D)15 cycles/min
E)12 cycles/min
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8
Use a graphing utility to select the graph of the function.Include two full periods.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Find the period and amplitude.
Y = -7 sin x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 7
D)Period: 2π;Amplitude:
E)Period: 2π;Amplitude: 1
Y = -7 sin x
A)Period: π;Amplitude: -7
B)Period: π;Amplitude:
C)Period: 2π;Amplitude: 7
D)Period: 2π;Amplitude:
E)Period: 2π;Amplitude: 1
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10
Select the graph of the function.(Include two full periods. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Select the graph of the function.(Include two full periods. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0,and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)7 sec
B)9 sec
C)3 sec
D)8 sec
E)6 sec
, Where t is the time (in seconds).
(Inhalation occurs when v > 0,and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)7 sec
B)9 sec
C)3 sec
D)8 sec
E)6 sec
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13
For a person at rest,the velocity v (in liters per second)of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next)is given by ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
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14
Use a graphing utility to select the graph of the function.Include two full periods.
Y = -2 sin (2x + π)
A)
B)
C)
D)
E)
Y = -2 sin (2x + π)
A)
B)
C)
D)
E)
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15
Use a graphing utility to select the graph of the function.Include two full periods.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Select the graph of the function.(Include two full periods. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Write an equation for the function that is described by the given characteristics.
A sine curve with a period of π,an amplitude of 4,a right phase shift of ,and a vertical translation up 7 units.
A)y = 10 + 4 sin (2x + π)
B)y = 7 + 4 sin (2x - π)
C)y = 9 - 4 sin (2x + π)
D)y = 8 + 4 sin (- 2x - π)
E)y = 11 + 7 sin (2x - π)
A sine curve with a period of π,an amplitude of 4,a right phase shift of
,and a vertical translation up 7 units.
A)y = 10 + 4 sin (2x + π)
B)y = 7 + 4 sin (2x - π)
C)y = 9 - 4 sin (2x + π)
D)y = 8 + 4 sin (- 2x - π)
E)y = 11 + 7 sin (2x - π)
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18
Write an equation for the function that is described by the given characteristics.
A sine curve with a period of 4π,an amplitude of 4,a left phase shift of ,and a vertical translation down 5 units.
A)
B)
C)
D)
E)
A sine curve with a period of 4π,an amplitude of 4,a left phase shift of
,and a vertical translation down 5 units.
A)
B)
C)
D)
E)
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19
Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of 4π,an amplitude of 7,a right phase shift of ,and a vertical translation up 2 units.
A)
B)
C)
D)
E)
A cosine curve with a period of 4π,an amplitude of 7,a right phase shift of
,and a vertical translation up 2 units.
A)
B)
C)
D)
E)
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20
Select the graph of the function.(Include two full periods. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by ,
Where t is the time (in days),with t = 1 corresponding to January 1.
Use a graphing utility to select the graph of the model.
A)
B)
C)
D)
E)
, Where t is the time (in days),with t = 1 corresponding to January 1.
Use a graphing utility to select the graph of the model.
A)
B)
C)
D)
E)
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22
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)12 cycles/min
B)10 cycles/min
C)15 cycles/min
D)13 cycles/min
E)11 cycles/min
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the number of cycles per minute.
A)12 cycles/min
B)10 cycles/min
C)15 cycles/min
D)13 cycles/min
E)11 cycles/min
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23
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by ,
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the period of the model?
A)31 days
B)22 days
C)183 days
D)365 days
E)30 days
, Where t is the time (in days),with t = 1 corresponding to January 1.
What is the period of the model?
A)31 days
B)22 days
C)183 days
D)365 days
E)30 days
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24
Find a,b,and c for the function f(x)= a cos (bx - c)such that the graph of f(x)matches the graph below.
A)a = -2;b = -1;c=
B)a = 4;b = 1;c = π
C)a = 1;b = 2;c = -1
D)a = 2;b = 1;c = -π
E)a = 2;b = 1;c = π
A)a = -2;b = -1;c=
B)a = 4;b = 1;c = π
C)a = 1;b = 2;c = -1
D)a = 2;b = 1;c = -π
E)a = 2;b = 1;c =
π Unlock Deck
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25
Use a graphing utility to graph the function below.Be sure to include at least two full periods.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by
Y = 0.001 sin 850πt,
Where t is the time (in seconds).
The frequency is given by f = 1 / p.What is the frequency of the note?
A)85 cycles/sec
B) cycles/sec
C) cycles/sec
D)850 cycles/sec
E)425 cycles/sec
Y = 0.001 sin 850πt,
Where t is the time (in seconds).
The frequency is given by f = 1 / p.What is the frequency of the note?
A)85 cycles/sec
B)
cycles/secC)
cycles/secD)850 cycles/sec
E)425 cycles/sec
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27
Determine which of the graphs below represents the following function y=|x|sin x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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28
Sketch the graph of the function below,being sure to include at least two full periods.
y = 2 cos( x - )
A)
B)
C)
D)
E)
y = 2 cos( x -
) A)
B)
C)
D)
E)
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29
When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by
Y = 0.001 sin 880πt,
Where t is the time (in seconds).
What is the period of the function?
A) sec
B)440 sec
C) sec
D)880 sec
E)88 sec
Y = 0.001 sin 880πt,
Where t is the time (in seconds).
What is the period of the function?
A)
secB)440 sec
C)
secD)880 sec
E)88 sec
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30
The daily consumption C (in gallons)of diesel fuel on a farm is modeled by ,
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?
A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.
, Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?
A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.
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31
Sketch the graph of the function below,being sure to include at least two full periods.
Y = - cos(x+ )
A)
B)
C)
D)
E)
Y = - cos(x+
) A)
B)
C)
D)
E)
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32
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
, Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Select the graph of this velocity function.
A)
B)
C)
D)
E)
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33
Determine the period and amplitude of the following function
A)Period: 10 ;Amplitude: 6
B)Period: ;Amplitude: 3
C)Period: 8 ;Amplitude: 4
D)Period: ;Amplitude: 3
E)Period: 5 ;Amplitude: 2
A)Period: 10
;Amplitude: 6B)Period:
;Amplitude: 3C)Period: 8
;Amplitude: 4D)Period:
;Amplitude: 3E)Period: 5
;Amplitude: 2 Unlock Deck
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34
After exercising for a few minutes,a person has a respiratory cycle for which the velocity of airflow is approximated by , where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)6 sec
B)2 sec
C)7 sec
D)3 sec
E)8 sec
, where t is the time (in seconds).(Inhalation occurs when v > 0 and exhalation occurs when v < 0. )
Find the time for one full respiratory cycle.
A)6 sec
B)2 sec
C)7 sec
D)3 sec
E)8 sec
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35
Determine the period and amplitude of the following function
A)Period: 16 ;Amplitude: 10
B)Period: ;Amplitude: 5
C)Period: 5 ;Amplitude: 6
D)Period: ;Amplitude: 5
E)Period: 8 ;Amplitude: 4
A)Period: 16
;Amplitude: 10B)Period:
;Amplitude: 5C)Period: 5
;Amplitude: 6D)Period:
;Amplitude: 5E)Period: 8
;Amplitude: 4 Unlock Deck
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36
Find a and d for the function f(x)= a sin x + d such that the graph of f(x)matches the graph below.
A)a = 2;d = -1
B)a = 4;d = 1
C)a = -2;d = 1
D)a = 2;d = 2
E)a = 4;d = -3
A)a = 2;d = -1
B)a = 4;d = 1
C)a = -2;d = 1
D)a = 2;d = 2
E)a = 4;d = -3
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37
Use a graphing utility to graph the function below.Be sure to include at least two full periods. y = 4 sin (x - 5π)+ 1
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 37 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 37 flashcards in this deck.
