1. On top of the its own price effect on sales, Mr. Wok is also interested how the sales will change as Competitor’s price changes.

Please use data in “Linear regressions with competitor price.xsls”

• Estimate the coefficients with Mr. Work’s own price and its competitor
• How do the two prices affect the Mr. Works’s sales?

Solve in Matlab please. An ltic system is specified by the eq: (D^2+4D+4) y(t) = Dx(t)

a) Find the characteristic polynomial, char. equation, char. roots, and char. modes.

b) find y0(t), zero-input component of the response y(t) for t>=o; if initial conditions is y0(0-)=3 and y'0(0-) = 4

A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The mean SAT mathematics scores for the students are summarized in the following table.

Summarize the results of this study using appropriate plots and calculations to describe the main effects and interaction.

1. Show that the following argument is invalid by writing out its logical form and substituting new terms that demonstrate its invalidity.

Some policemen are handsome

Some nurses are not handsome

Some policemen are nurses

2.Show that the following argument is invalid by writing out its logical form and substituting terms that demonstrate its invalidity.

All planets are comets

All comets are stars

All stars are planets

3. Explain why the following argument is invalid directly (in other words, do not identify its logical form or create a new argument, but think of a specific counterexample to this argument):

Book A has less than 50 pages

Book B has less than 100 pages

Book A has less pages than Book B

4. Explain why the following argument is invalid directly:

Frank’s favorite food is a fruit

Frank’s favorite food is yellow

Frank’s favorite food is a banana

5. Explain why the following argument is invalid directly:

Speedy is the name of something that can fly

Speedy has wings

Speedy is a bird           

Use Eulers method to find approximate values of the solution of the given initial value problem at T=0.5 with h=0.1.

12. y'=y(3-ty) y(0)=0.5

Use the method of variation of parameters to determine the general solution of the given differential equation.

y′′′−2y′′−y′+2y=e^(8t)

Prove that the set of classifiers F={f : f(x)=sign(sin(ωx)), ω≥0} operating in one dimension with input space X=[0,2π] is infinite.

Please write as clear as possible, the picture is always blurry, so please make sure the text is easy to read, thank you very much!

Project Risk = Probability of event * Consequences of event

Let’s investigate the quantitative risk identified for a company, last year.

Use the table above to answer the following questions:

1. Please calculate the total risk factor for this project. Would you assess this level of risk as low, moderate, or high? Why?

(Hint: Total Risk Factor = (Pf + Cf) - (Pf*Cf) Where P = Average probability of failure and C = Average Consequences of Failure. A common rule of thumb assigns any project with a Risk Factor of below 0.30 as low risk, with a Risk Factor of between 0.30 and 0.70 as medium risk, and Risk Factor over 0.7 as high risk).

2. What are all the risk mitigation strategies available to this company (in the example above)? What specific mitigation options would you recommend to the corporation?
3. To reduce the total risk factor by one level (i.e., High to Medium or Medium to Low) what would be your focus among the four probabilities of failure and four consequences of failure listed?

• If you were to prioritize your efforts, which risk factors would you address first? Why?

5. Explain the meaning of the following sentence: Reduction of risk factors is not cheap.

a) find a solution to the system, if possible. If no solution exists, explain how you know. b) find the entire solution set of the system. c) What is the smallest non negative integer solution to the system?

x=37(mod 182) and s=25(mod 202)

Determine whether the set StartSet left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 0 3rd Row 1st Column negative 3 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column 1 3rd Row 1st Column 6 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column negative 1 3rd Row 1st Column 0 EndMatrix right bracket EndSet 1 0 −3 , −3 1 6 , 1 −1 0 is a basis for set of real numbers R cubedℝ3. If the set is not a​ basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubedℝ3. Which of the following describe the​ set? Select all that apply.

Consider, in the xy-plane, the upper half disk of radius R, with temperature u governed by Laplace's equation, and with zero-Dirichlet B.C. on the (bottom) flat part of the disk, and Neumann B.C. ur=f(theta), on its (top) curved boundary.

(a)Use the Method of Separation of Variables to completely derive the solution of the BVP. Show all details of the procedure, and of your work. Do not start with with the eigenfunctions, the are to be derived. The final solution must be summarized and circled at the end of your work, showing the final complete expression for u(r,theta) and any coefficents and necessary conditions for f(theta).

(b) Obtain the complete simplified solution of the BVP above, with R=2 and f(theta) = 100.

. Consider a Bessel ODE of the form:

x^2y"+xy'+(x^2-1)y=0

What is the general solution to this ODE assuming that the domain of the problem includes x=0? Why?

1. Sketch the graph of a function that has degree 3, and zeros at -2, +2, and +3. Is there only one possible graph? Explain.

2. Find the equation of a 3^rd degree function that has a zero of order 3, a vertical stretch of -2, is translated 3 units to the right and 5 units up. (2,21) is a point on the function.