Description
A quadratic function is given.
f(x) = 2x2 + 4x + 3
(a) Express the quadratic function in standard form.
f(x) = |
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Explanation & Answer
Answer:
here I can write:
f(x) = 2 (x+2)^2 - 5
so: x-intercepts: x= - 2 +sqrt(5)/2, x= - 2-sqrt(5)/2
y-intercept: y= 3
vertex: V = (-2, -5)
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Apply matrix theory to linear equations and transformations
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Use MATLAB to construct the augmented matrix and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system.
Use MATLAB to compute the LU decomposition of , i.e., find . For this decomposition, find the transformed set of equations . Solve the system of equations for the unknown vector .
Use MATLAB to compute the inverse of using the inv() function.
Compute the solution to the original system of equations by transforming into , i.e., compute .
Check your answer for using Cramer’s Rule.
Use MATLAB to compute the required determinants using the det() function. The Project One Table Template, provided in the Supporting Materials section, shows the recommended throughput capacity of each link in the network. Put your solution for the system of equations in the third column so it can be easily compared to the maximum capacity in the second column. In the fourth column of the table, provide recommendations for how the network should be modified based on your network throughput analysis findings. The modification options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.
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Think about a study you would like to explore that concerns organizational or social issues and could be analyzed with a o ...
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Explain the issue you would like to study
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List the null hypothesis.
List the research or alternative hypothesis.
Explain what you expect to find if you ran the study.
Explain what decision you would make about the hypothesis.
Explain what a 95 percent or 99 percent confidence interval of the mean would tell us for this study.
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