Solve this differential equation

(4x - 2y)dx + (2x - 9y)dy = 0

1)What is the advantage of solving differential equations using Laplace Transforms over prior time-domain techniques cover thus far this semester (Chps 1-5)?

2) When using Laplace Transforms, what is the difference in the notation between lower case (i.e. f(t)) and upper case (i.e. F(s)) letters?

3) If the Laplace Transform is an integral as shown in Sec 7.1, pg 438, equation #1, how can Dr. Tran claim that the Laplace Transform technique does not require use of Calculus? Is he crazy? Please explain.

2. The MCAT, Medical College Admissions Test, must be taken by students wishing to gain entrance to most Medical Programs in Canada and the United States. There are four sections: Physical Sciences (PS), Verbal Reasoning (VR), Biological Sciences (BS), and Writing Sample (WS). The first three are each scored on a scale from 1 to 15, with a mean of 8 and a standard deviation of 2.

(a) Determine the percentile ranks for the following students:

(b) If a Medical School sets a requirement that students who will be considered must have a score of 10 on the Physical Science, 12 on the Verbal Reasoning and 11 on the Biological Sciences sections, what proportion of the population will qualify for each portion of the test?

c) The ACT, American Colleges Test, is comparable to the SAT Reasoning Test. The ACT is well modeled by a normal distribution, X~ N(21, 52 ), whereas the SAT Reasoning Test is modeled by S~N(1500, 3002 ). A college will accept either the SAT or the ACT for admissions. A college admissions assistant needs to compare the following two students to each other though they wrote different tests. How would the admissions assistant do this? Which student seemed to score better? Matthew Chant ACT Score = 27 Joseph Bell SAT Score = 2050

What extensions to other mathematics and real world applications does Group Cohomology have?

Choose your favorite unique vector b in R³ with no 0 entries.

8. What is your vector b?
9. Based on the “Equivalent Conditions for a Non-Singular Matrix” on page 123 in our text, why must Ax = b have a unique solution in this situation?

10. Solve the equation Ax = b the following three ways (you should get the same answer each way!) Recall – calculator OK, in fact suggested. (24 points – 8 points each)
    • Solve the equation Ax = b using Gaussian Elimination. Show the augmented matrix and then use “ref” or “rref” on your calculator. Complete with back substitution.
    • Solve the equation Ax = b using the inverse of (A), which you have already calculated above.
    • Solve the equation Ax = b using Cramer’s Rule. Identify A, A_x, A_y, A_z and their determinants.
11. Express b as a linear combination of the column vectors of A.

12. In practice involving very large systems with square matrices of coefficients, Gaussian Elimination is often implemented by using LU factorization. Why do you think that is the case? 10-20 words (more if you want).

Replace the first row of your matrix A with the second row of your matrix A. Call this new 3x3 matrix with 2 equal rows B.

13. What is your matrix B?

14. Calculate the determinant of B without a calculator. Perform at least one row or column operation on the Determinant as part of your calculation procedure.

15. Solve the Matrix equation Bx =0

• What is the general solution for x in terms of (say) any real number t?
• Determine a specific non-zero solution for x (I.e. assign t to a specific real number)?
• Verify that Bx = 0 for your specific solution for x.

Case 19-7

Accounting for Contingent Payments to Employees or Selling Shareholders in a Business Combination

Company G (G), an SEC registrant, is a global financial advisory and asset management firm. Company P (P), a private company, offers advisory services for (1) mergers, acquisitions, and divestitures; (2) capital structure (including initial public offerings); (3) government advisory, including strategic, finance and capital markets related policy considerations; and (4) restructurings.

Case Facts

On September 18, 20X8, (the “Closing”), G and P executed an acquisition agreement (the “Agreement”) whereby G acquired 100 percent of the outstanding shares of P (the “Acquisition”). At the time of close, P had 10 employees that had over 200 combined years of financial and strategic advisory experience. Company P was owned as follows:

• Founder — 85 percent.

• Senior advisor — 10 percent.

• Other employees (four in total) — 5 percent.

  The purchase price was calculated using a revenue multiple that was established using market data at the midpoint and transferred in exchange for 100 percent of the outstanding shares to the Founder ÷ employees who owned 100 percent of P (collectively, the “Shareholders”) on a pro rata basis. The total purchase price comprised the following:

  • Cash = $1 million.

  • Shares = 100,000 shares in G (worth $3.3 million).

  • Delayed Consideration = 120,000 G shares, but issued to the Shareholders under the terms below (value assuming a 4-year vesting restriction = $5 million; assuming a 10-year vesting restriction = $4 million).

o Delayed consideration is held by an independent third party (Exchange Co) and on the fourth anniversary of the Closing, Exchange Co shall release the Delayed Consideration to the Shareholders, subject to the Shareholder being employed on such date.

o If a Shareholder is no longer employed on the fourth anniversary, the Delayed Consideration issued to such Shareholder will continue to be held by Exchange Co until the tenth anniversary of the Closing, at which point Exchange Co shall release the Delayed Consideration to the Shareholders.

Copyright 2019 Deloitte Development LLC All Rights Reserved.

Case 19-7: Accounting for a Contingent Payments to Employees or
Selling Shareholders in a Business Combination Page 2

• Earnout Consideration = Up to 600,000 shares (valued at total of $20 million).

o The Earnout Consideration will be contingent upon achievement of revenue hurdles over a period beginning on September 18, 20X8, and ending on December 31, 20X2 (“Earnout Period”).

o To the extent the performance targets below are achieved, Exchange Co shall deliver the relevant Earnout Shares to the Shareholders on a pro rata basis. However, if and to the extent certain performance targets described below are not achieved, in whole or in part, no Earnout Consideration will be paid.

•  First Earnout Consideration — If revenue exceeds $10 million in the Earnout Period, the Shareholders will be entitled to 200,000 shares.

•  Second Earnout Consideration — If revenue exceeds $20 million in the Earnout Period, the Shareholders will be entitled to an additional 200,000 shares.

•  Third Earnout Consideration — If revenue exceeds $30 million in the Earnout Period, the Shareholders will be entitled to an additional 200,000 shares.

o The Shareholders are still entitled to the Earnout Consideration in the event that targets are met, but they are not employees of G at the time the Earnout Consideration is earned.

Other Key Facts

• Company P meets the definition of a business under ASC 805.

• Each employment agreement executed by G and the Shareholders contains compensation that is commensurate with the service each respective Shareholder is providing to G.

• The Shareholders have at-will employment agreements with G.

• If the Shareholders were to leave, G would be able to replace them with an existing G investment banker; therefore, the Shareholders are not integral to the future success of the acquired business.

• The fair value of P was determined to be $24 million.

• The Earnout Consideration is not being treated as compensation expense for tax purposes.

Copyright 2019 Deloitte Development LLC All Rights Reserved.

Case 19-7: Accounting for a Contingent Payments to Employees or
Selling Shareholders in a Business Combination Page 3

Required:

If there was a change to the case facts, and the Shareholders were no longer entitled to the Earnout Consideration if they were not employees of G at the time the revenue targets were met, should the Earnout Consideration to the Shareholders be accounted for as purchase consideration in exchange for the Acquisition or as compensation for postcombination services?

Set up and solve the given BVP heat problem. Suppose there is a rod of length L coinciding on the x-axis from 0 ≤ x ≤ L with insulated ends, and with an initial temperature profile of f(x).
Solve the Heat Equation

Question 2: Preparation and Presentation of the Income Statement Flexible and Confused Limited has just employed you as the new finance director. The first task you have been assigned to complete is to prepare the income statement for the 12-month period ended March 31, 2018. On your desk on your first day, the previous finance director left valuable information to complete the task. 1. During the year Flexible and Confused Limited – a company that sells dishwashers – sold a total of 13,187,000 units at an average sales price of $41.25. 2. The old finance director also indicated that direct labour, direct material and applied overhead were equal to 20%, 12% and 25% of total sales revenue. 3. Following is a list of other expenses incurred by the company. Expense Account Total Incurred Advertising and Marketing Costs $5,512,000.00 Sales Entertainment $2,561,000.00 Selling Insurance $690,000.00 Office Repairs and Maintenance $1,590,000.00 Office Depreciation $14,457,000.00 Wages of General Operations Staff $12,801,000.00 Salaries Sales Staff $11,036,000.00 Administrative Travel Costs $1,260,000.00 4. On January 1, 2018, the company sold a piece of equipment held for investment and recognized a loss on the sale of $4,221,000. 5. The company also enjoyed revenue from other sources noted as: Other Income totalling $9,050,000 and Interest Revenue totalling $8,661,000. 6. On April 1, 2017, the company sold land that resulted in a loss of $4,891,000. 7. If the company reports a profit during the year, the effective corporate tax rate is 25%. If a loss is reported the effective tax rate is zero. 8. The company incurred finance interest charges during the accounting period of $22,890,000. 9. The company is involved in joint venture operations. As a result of goof financial conditions, the company recorded a net gain of $6,079,000 from its share of the joint venture operations. 10. From the operations of its associate firms, the company expects to record a net gain of $42,287,000 for the financial period ended March 31, 2019. Required: Using the information supplied, prepare an income statement for Flexible and Confused Limited for the accounting period that conforms with IFRS IAS 1 recommendation and course requirements. (Hint: Expenses should be classified by function (e.g., cost of goods sold) not nature.

explain and justify all your answer clearly with steps thanks

Suppose that a group G acts on its power set P(G) by conjugation.

a) If H≤G, prove that the normalizer of N(H) is the largest subgroup K of G such that HEK. In particular, if G is finite show that |H| divides |N(H)|.

b) Show that H≤G⇐⇒every element B∈OH is a subgroup of G with B∼=H.

c) Prove that HEG⇐⇒|OH|= 1.

How to write a hypothesis statement for Data analysis and graphing lab using the metric system?

Question Consider the function ?(?) = ??2 and x = 0, 0.25, 0.5, 1. Then use the suitable Newton interpolating polynomial to approximate f(0.75). Also, compute an error bound for your approximation

Dont use a sheet to solve thanks numerical methods