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PLEASE ANSWER THE THREE QUESTIONS, THANK YOU
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Problem 1 Given the following system of equations:
3x + 2y − 5z = 1
4x − y + z = 0
x−z =2
find all solutions using Gauss-Jordan elimination procedure. Is this an example
of consistent system? Why?
Problem 2 Find the rank of the following matrix
−1 3
8 −2 1
−1 3
9 −1 3
1 −3 −9 1 −3
0
0
0
0
2
Problem 3 In a certain sense, the following system is not linear:
2 sin α − cos β + 3 tan γ = 3
4 sin α + 2 cos β − 2 tan γ = 10
6 sin α − 3 cos β + tan γ = 9.
However, there is still a way to do Gauss-Jordan elimination on it. Does a
solution exist for α, β, and γ?
1
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Mathematical models are constructed for many different practical applications, and we start to build some of them in this course. This discussion begins with a simple geometric model.
For your initial post, you must do the following:
Solve the problem in the Mobius module discussion.
Explain how you got your results in the Brightspace module discussion.
For your response posts, you must do the following:
Comment on your classmates’ analyses and their answers. Compare and contrast your problem-solving approach to how your classmates solved the problem.
Review the explanations given by your peers for their problem-solving strategies. Your comments may focus on the following:
How did they describe steps to make their explanations clear?
What additional details could they have included?
What details did they include that you may not have?
What changes would you make to your initial post?
Reply to at least two different classmates outside of your own initial post thread.
6-1 Trigonometric Models
Contains unread posts
Michael Foisy posted Apr 7, 2021 12:17 PM
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 16 minutes
A:.
Amplitude: A = 13.5
27/ 2 - which is half the height of the Ferris wheel.
Midline: h = 14.5
13.5 + 1 = 14.5 – half the height of Ferris wheel +1 for the platform being 1 meter above ground.
Period: P = 16
1 full revolution every 16 minutes
B:
h = -Acos(B*t)+C
h(t) = -13.5cos(Pi/8*t)+14.5
C:
If the Ferris wheel continues to turn, how high off the ground is a person after 36 minutes? 14.5
Daniel Fiedorowicz posted Apr 6, 2021 7:43 PM
to Group 1
Subscribe
Hello All,
A Ferris wheel is 22 meters in diameter and completes 1 full revolution in 16 minutes.
A. A Ferris wheel is 22 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
Amplitude: Based on the given information the Diameter of the Ferris wheel is 22 meters. The radius of the wheel is Diameter/2 so for this wheel the radius is 11 meters. Therefore the height will oscillate with amplitude of 11 meters above and below the center.
A= 11 meters
Midline: Passengers will get on the wheel 1 m above the ground, so the center of the wheel must be located 11+1=12 meters above ground level. The midline of the oscillation will be at 12 meters.
h= 12 meters
Period: The Ferris wheel takes 16 minutes to complete 1 revolution, so the height will oscillate with a period of 16 minutes. A person riding the wheel will board at the lowest point of the wheel and go up, making the function of the wheel a cosine function.
P= 16 Minutes
Shape= -cos
B. The basic Sinusoidal cosine function would be:
y=Acos(Bx?C)+D
In order to use this formula we need to calculate the value of the period:
2?|B|= 2?|16|=?8
so with that we can plug in the rest given information into the formula:
A=-11
B= ?8
C= 0
D= 12
x= time: t
h(t)=?11cos(?8t)+12
C. If the Ferris wheel continues to turn, how high off the ground is a person after 60 minutes?
I inserted 60 into our function as the value for t, then used excel to find the correct answer.
h(60)=?11cos(?8(60))+12=12
After 60 minutes of riding the wheel the person is 12 meters off the ground.
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Mathematical models are constructed for many different practical applications, and we start to build some of them in this course. This discussion begins with a simple geometric model.
For your initial post, you must do the following:
Solve the problem in the Mobius module discussion.
Explain how you got your results in the Brightspace module discussion.
For your response posts, you must do the following:
Comment on your classmates’ analyses and their answers. Compare and contrast your problem-solving approach to how your classmates solved the problem.
Review the explanations given by your peers for their problem-solving strategies. Your comments may focus on the following:
How did they describe steps to make their explanations clear?
What additional details could they have included?
What details did they include that you may not have?
What changes would you make to your initial post?
Reply to at least two different classmates outside of your own initial post thread.
6-1 Trigonometric Models
Contains unread posts
Michael Foisy posted Apr 7, 2021 12:17 PM
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 16 minutes
A:.
Amplitude: A = 13.5
27/ 2 - which is half the height of the Ferris wheel.
Midline: h = 14.5
13.5 + 1 = 14.5 – half the height of Ferris wheel +1 for the platform being 1 meter above ground.
Period: P = 16
1 full revolution every 16 minutes
B:
h = -Acos(B*t)+C
h(t) = -13.5cos(Pi/8*t)+14.5
C:
If the Ferris wheel continues to turn, how high off the ground is a person after 36 minutes? 14.5
Daniel Fiedorowicz posted Apr 6, 2021 7:43 PM
to Group 1
Subscribe
Hello All,
A Ferris wheel is 22 meters in diameter and completes 1 full revolution in 16 minutes.
A. A Ferris wheel is 22 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
Amplitude: Based on the given information the Diameter of the Ferris wheel is 22 meters. The radius of the wheel is Diameter/2 so for this wheel the radius is 11 meters. Therefore the height will oscillate with amplitude of 11 meters above and below the center.
A= 11 meters
Midline: Passengers will get on the wheel 1 m above the ground, so the center of the wheel must be located 11+1=12 meters above ground level. The midline of the oscillation will be at 12 meters.
h= 12 meters
Period: The Ferris wheel takes 16 minutes to complete 1 revolution, so the height will oscillate with a period of 16 minutes. A person riding the wheel will board at the lowest point of the wheel and go up, making the function of the wheel a cosine function.
P= 16 Minutes
Shape= -cos
B. The basic Sinusoidal cosine function would be:
y=Acos(Bx?C)+D
In order to use this formula we need to calculate the value of the period:
2?|B|= 2?|16|=?8
so with that we can plug in the rest given information into the formula:
A=-11
B= ?8
C= 0
D= 12
x= time: t
h(t)=?11cos(?8t)+12
C. If the Ferris wheel continues to turn, how high off the ground is a person after 60 minutes?
I inserted 60 into our function as the value for t, then used excel to find the correct answer.
h(60)=?11cos(?8(60))+12=12
After 60 minutes of riding the wheel the person is 12 meters off the ground.
5 pages
Stat Assignment Lab 1
All work must be shown in order to receive credit for a question. You may use additional pages to answer the questions; at ...
Stat Assignment Lab 1
All work must be shown in order to receive credit for a question. You may use additional pages to answer the questions; attach those pages to this ...
Walden Week 4 Probability Sampling Distributions and Confidence Intervals Questions
In your Week 2 Assignment, you displayed data based on a categorical variable and continuous variable from a specific data ...
Walden Week 4 Probability Sampling Distributions and Confidence Intervals Questions
In your Week 2 Assignment, you displayed data based on a categorical variable and continuous variable from a specific dataset. In Week 3, you used the same variables as in Week 2 to perform a descriptive analysis of the data. For this Assignment, you will calculate a confidence interval in SPSS for one of the variables from your Week 2 and Week 3 Assignments.To prepare for this Assignment:Review the Learning Resources related to probability, sampling distributions, and confidence intervals.For additional support, review the Skill Builder: Confidence Intervals and the Skill Builder: Sampling Distributions, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane.Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you chose) from Week 2.Choose an appropriate variable from Weeks 2 and 3 and calculate a confidence interval in SPSS.Once you perform your confidence interval, review Chapter 5 and 11 of the Wagner text to understand how to copy and paste your output into your Word document.For this Assignment:Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES.Based on the results of your data in this confidence interval Assignment, provide a brief explanation of what the implications for social change might be
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