Southern New Hampshire University - 6-3 Module Six Problem Set
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School
Southern New Hampshire University *
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Course
140
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
14
Uploaded by brienncaervin
2/18/24, 12:41 PM
Southern New Hampshire University - 6-3 Module Six Problem Set
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MAT-140-X3745 Precalculus 24EW3 : MAT-140 : 1466672
, 6-3 Module Six Problem Set
Brie Ervin, 2/16/24 at 9:06:40 PM EST
Question1:
Score 3.5/7
Match each trigonometric function with one of the graphs.
Your response
Correct response
2 4 1 3
3 4 1 2
Auto graded
Grade:
0.5/1.0 Total grade: 0.5×1/1 = 50%
Question2:
Score 7/7
Sketch two periods of the graph of the function . Identify the stretching
factor, period, and asymptotes.
Enter the exact answers.
Stretching factor Your response
Correct response
4
4
Auto graded
Grade:
1/1.0 Period: Your response
Correct response
8
8
Auto graded
Grade:
1/1.0
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Enter the asymptotes of the function on the domain . To enter , type Pi.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. or
). The order of the list does not matter.
Asymptotes: Your response
Correct response
-7; -3; 1; 5
-7; -3; 1; 5
Auto graded
Grade:
1/1.0 Select the correct graph of .
Your response
Correct response
Feedback:
Correct.
Auto graded
Grade:
1/1.0 Total grade: 1.0×1/4 + 1.0×1/4 + 1.0×1/4 + 1.0×1/4 = 25% + 25% + 25% + 25%
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Feedback:
Step 1. Express the function given in the form .
Step 2.
The stretching/compressing factor is .
Step 3. The period is
Step 4. The phase shift is
Step 5.
Draw the graph of , but shift it to the left by .
Step 6.
The vertical asymptotes occur at , , , and . There is a local
minimum at and a local maximum at . The correct graph is shown below.
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Question3:
Score 5.25/7
Sketch two periods of the graph of the function . Identify the stretching
factor, period, and asymptotes.
Enter the exact answers.
For the number , either choose from the bar at the top or type in Pi (with a capital P).
Stretching factor Your response
Correct response
1
1
Auto graded
Grade:
1/1.0 Period: Your response
Correct response
Pi
Pi
Auto graded
Grade:
1/1.0
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Enter the asymptotes of the function on the domain . To enter , type Pi.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. or
). The order of the list does not matter.
Asymptotes: Your response
Correct response
-Pi/2; Pi/2
5*Pi/8; -3*Pi/8
Auto graded
Grade:
0/1.0 Select the correct graph of .
Your response
Correct response
Feedback:
Correct.
Auto graded
Grade:
1/1.0 Total grade: 1.0×1/4 + 1.0×1/4 + 0.0×1/4 + 1.0×1/4 = 25% + 25% + 0% + 25%
Question4:
Score 6/7
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Southern New Hampshire University - 6-3 Module Six Problem Set
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A laser rangefinder is locked on a comet approaching Earth. The distance , in kilometers, of
the comet after days, for in the interval to days, is given by .
a.
Select the graph of on the interval .
Your response
Correct response
Feedback:
Correct.
Auto graded
Grade:
1/1.0 b.
Evaluate .
Enter the exact answer.
Your response
Correct response
500000
500,000
Auto graded
Grade:
1/1.0 c.
What is the minimum distance between the comet and Earth? When does this occur? To which
constant in the equation does this correspond?
The minimum distance between the comet and Earth is Your response
Correct response
250,000
250,000
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Auto graded
Grade:
1/1.0 km which is the Your response
Correct response
stretching factor
stretching factor
Auto graded
Grade:
1/1.0 . It occurs at
Your response
Correct response
15
15
Auto graded
Grade:
1/1.0 days. d.
Find and discuss the meaning of any vertical asymptotes on the interval .
The field below accepts a list of numbers or formulas separated by semicolons (e.g. or
). The order of the list does not matter.
Your response
Correct response
0
0; 30
Auto graded
Grade:
0/1.0 At the vertical asymptotes the comet is Your response
Correct response
out of range of the laser.
out of range of the laser.
Auto graded
Grade:
1/1.0 Total grade: 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 0.0×1/7 + 1.0×1/7 = 14% + 14% + 14% + 14% + 14% + 0% + 14%
Question5:
Score 1.6/8
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Use the fundamental identities to fully simplify .
Enclose arguments of functions in parentheses. For example, .
Your response
Correct response
-sin(x)
-sin(x)
Auto graded
Grade:
25/25.0 Show your work and explain, in your own words, how you arrived at your answer.
Ungraded
Grade:
0/100.0
Total grade: 1.0×25/125 + 0.0×100/125 = 20% + 0%
Question6:
Score 1.6/8
Simplify the trigonometric expression below by writing the simplified form in terms of .
Enclose arguments of functions in parentheses. For example, .
Your response
Correct response
1/cos(x)
1/cos(x)
Auto graded
Grade:
25/25.0
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Show your work and explain, in your own words, how you arrived at your answer.
Ungraded
Grade:
0/100.0
Total grade: 1.0×25/125 + 0.0×100/125 = 20% + 0%
Question7:
Score 1.6/8
Using the sum and difference of cosines formula, find the exact value of .
Enclose numerators and denominators in parentheses. For example, .
Your response
Correct response
1/4*sqrt(6)-1/4*sqrt(2)
Auto graded
Grade:
25/25.0 Show your work and explain, in your own words, how you arrived at your answer.
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Ungraded
Grade:
0/100.0
Total grade: 1.0×25/125 + 0.0×100/125 = 20% + 0%
Question8:
Score 1.6/8
If , and is in quadrant I, find the exact value of , , and
algebraically without solving for .
Enclose numerators and denominators in parentheses. For example, .
Your response
Correct response
((4/9)*(sqrt(5)))
Auto graded
Grade:
8/8.0 Your response
Correct response
1/9
Auto graded
Grade:
8/8.0 Your response
Correct response
4*sqrt(5)
Auto graded
Grade:
9/9.0
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Show your work and explain, in your own words, how you arrived at your answer.
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=
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Ungraded
Grade:
0/100.0
Total grade: 1.0×8/125 + 1.0×8/125 + 1.0×9/125 + 0.0×100/125 = 6% + 6% + 7% + 0%