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4. Evaluate via Fermat's Little Theorem: 42176313032099122 mod 31277.

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1.Determine Vo by plotting the elution profile for Vo determination on graph paper

Figure 1: Absorbance reading of Dextran Blue elutions(600 nm)

(1ml/fraction)	1 - 12	13	14	15	16	17	18	19
ABS	0.000	0.014	0.485	0.534	0.283	0.088	0.049	0.000

2. What is void volume, V_o and what is been used to determine V_o in this experiment? explain your reasoning.

4 F- A'C +ACD-AB'D IS saved out of F(a,b,c,d)= m(3,7,8,11,12,14,15) question inuen sinishattam earch O i a 29°C hp F= A'C'+ACD+AB'D' AB+AC+BCD d) =? CD+AC'D'+ABD AD+ABC+A'B'D A'C'+ACD+AB'D' A'B+A'C+ACD

Find the Laplace transform for 1) (a) f(t) = t cosh 2t. (b) f(t) = e-2 cos 2t. [3 marks] [3 marks]

Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes In Investment portfolios designed to meet the specific risk tolerances of its clients. A cllent who contacted B&R this past week has a maximum of $70,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 7%, whereas the Blue Chip fund has a projected annual return of 6%. The investment advisor requires that at most $45,000 of the client's funds should be invested in the Internet fund. B&R services Include a risk rating for each Investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested, For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate Investor. B&R recommends that a cllent who is a moderate Investor Ilmit his or her portfolio to a maximum risk rating of 340. (a) Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.) Max s.t. Available investment funds Maximum Investment in the Internet fund Maximum risk for a moderate investor N, B 2 0 (b) Bulld a spreadsheet model and solve the problem using Excel Solver. What is the recommended Investment portfollo (In dollars) for this client? Internet fund $ blue chip fund $ What is the annual return (in dollars) for the portfolio? (b) Suppose that a second client with $70,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 370. What is the recommended investment portfolio (in dollars) for this aggressive investor? internet fund blue chip fund $ (d) Suppose that a third client with $70,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 220. Develop the recommended investment portfolio (in dollars) for the conservative investor. internet fund $ blue chip fund $

Balak Berlambak Sdn. Bhd. (BBSB) is a sawmill company. BBSB engaged Bakar Elah as a sawyer where he split logs and cut timber to size. Idaman Hati Sdn Bhd (IHSB) is a contractor company that introduced Bakar Elah to BBSB. Bakar Elah works under the supervision of BBSB, and the supervisors of BBSB is the one who decides the number of logs to be sawn. One day, Bakar Elah was injured during work. He sued BBSB and claimed damages. The sawmill contended that Bakar Elah was not their employee but the employee of IBSB.

Based on the situation given, explain the status of Bakar Elah and suggest the appropriate test to be applied. Support your answer with a case.

Q2.

The Bronx County engaged in the following transactions in summary form during its fiscal year. All amounts are in thousands. You need not be concerned with the category of funds balances to which reserves for encumbrances are classified on the fund balance sheet.

1. Its commissioners approved a budget for the current fiscal year. It included total revenues of $1650 and total appropriations of $1250.
2. It ordered office supplies for $65.
3. It incurred the following costs, paying in cash:

• Salaries $720
• Repairs $ 120
• Rent $ 35
• Utilities $ 52
• Delivery expense $10
• Advertising expense $5
• Other operating costs $150

4. It ordered equipment costing $15.
5. It received the equipment and was billed for $21.
6. It received the previously ordered supplies and was billed for $67. The county reports the receipt of supplies as expenditures; it does not maintain an inventory account for supplies.
7. It earned and collected revenues of $1670.

Requirement:

1. Prepare the following:

1. journal entries as appropriate.
2. closing entries as appropriate.

2. What would have been the difference in the year?end financial statements, if any, had the county not made the budgetary entries?

Could anyone please solve this question? It's URGENT! URGENT!

Q.2) Let Y, Y2 ,... Yoo be independent Chi-squared random variables with ni, 12,... nh degrees of freedom. Derive the distribution of following random variables . i) Y,+ Y3+ ... + Yg Yi the ii) Yat Y4 + Y6

Derive an expression for Transmission and Reflection coefficient for a potential
barrier problem. Consider the energy (E) of the particle is less than potential barrier
(V0). Write down the difference in the results for the same problem, according to
Classical theory and Quantum theory and prove that quantum mechanically, there is a
finite tunnelling beyond the barrier.

Consider the function Z= f(x, y) = x3 + 4xy = (a) Find f(1, –4). z= = f(1,-4) = = (b) Find a function g(x, y, z) whose level zero set is equal to the graph of z = f(x,y) and such that the coefficient of z in g(x, y, z) is 1. The level set g(x, y, z) - O is the same as the graph of z = f(x,y). = - (c) Find the gradient of g. Write your answer as a row vector of the general form (a,b,c). Vg(x, y, z) = = (d) Use Vg to find a vector ñ perpendicular (or normal) to the graph of z = f(x, y) at the point (1, -4,65). Write your answer as a row vector of the general form (a,b,c). ñ (e) Find an equation for the tangent plane to z = f(x, y) at the point (1, -4,65). Enter your answer as an equation.