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teresa hernandez

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Find the inverse Laplace transform, $f(t)$ of the function $F(s) = \frac{s}{(s-5)(s+7)(s+10)}$, $s > 5$ $f(t) = \boxed{}$, $t > 0$

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Question 4 [12] A company is considering the seven independent investment projects listed below. Each project has an initial investment required, the payoff as a net present value and the time required on the project by an expert consultant (in months). The company has a total budget of R700 000 and 9 months of expert consultant time available for all projects. Each project can either be accepted in total or be rejected in total. Initial investment Net present value Expert consultant time Project Project A R 110 000 R 85 000 Project B R 125 000 R 105 000 1 1.5 Project C R 105 000 R 90 000 1 Project D R 135 000 R 120 000 1.5 Project E R 145 000 R 125 000 1.5 Project F R 150 000 R 135 000 2 a. Formulate the problem as a mathematical programming model by specifying the decision variables, the objective function, the constraints and restriction on decision variables. (See Example 3.13 in the Study Guide.) (6) b. Use the Solver tool in a spreadsheet to find an optimal solution to this capital rationing investment decision. Provide as your answer the selected projects, the total NPV, total budget and total time required by the consultant. (6)

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What are the common kinds of budgets and control mechanisms needed in an organization?

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Which of the following statements regarding currency futures contracts and forward contracts is NOT true? A futures contract is a standardized amount per currency whereas the forward contact is for any size desired. A futures contract is for a fixed maturity whereas the forward contract is for any maturity you like up to one year. Futures contracts trade on organized exchanges whereas forwards take place between individuals and banks with other banks via telecom linkages. All of the above are true.

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Find all values of x in the interval lo, Lit that satisty:a) 2 cos + sin 2x = 0

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Write each number as a base-ten numeral, along with its corresponding base-ten words. Examples: 111o = (1 \times 22) + (1 \times 2) + (1 \times 1) = Tten, Or seven 31.2 four = (3 x 4) + (1x1) + 4 = 12 + 1 + 10 = 13.5 ten, Or thirteen and five-tenths a. 37 twelve d. 1000 three Ib. 37 nine c. 207.0024 ten e. 10000 two 1. 221.2 four

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Give me an example of the correct answer for the follwoing question Which characteristics are most helpful to consider for the drug class sedative-hypnotics? Which characteristics are most helpful to consider for the drug class sedative-hypnotics? neurotoxicity and tolerance hedonic effects, tolerance, withdrawal syndrome tolerance, withdrawal, craving salient hedonism and withdrawal

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QUESTION 1 Find the exact value of the following expression. $\cos^{-1}\left(\cos\left(-\frac{\pi}{6}\right)\right)$ Write your answer as a fraction. You must show all your work to earn full credit. No Decimal Answers Accepted.

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1 of 6 Save & Exit Let f be a continuous function such that f changes from increasing to decreasing, and the graph of f changes from concave up to concave down. Which of the following is true about the midpoint Riemann sum approximation for int_1^3 f(x^(2)+x)dx using 4 subintervals of equal width? (1)/(2)((f(1^(2)+1)+f(1.5^(2)+1.5))/(2)+(f(1.5^(2)+1.5)+f(2^(2)+2))/(2)+(f(2^(2)+2)+f(2.5^(2)+2.5))/(2)+(f(2.5^(2)+2.5)+f(3^(2)+3))/(2)) is the midpoint Riemann sum approximation and underestimates int_1^3 f(x^(2)+x)dx. (1)/(2)((f(1^(2)+1)+f(1.5^(2)+1.5))/(2)+(f(1.5^(2)+1.5)+f(2^(2)+2))/(2)+(f(2^(2)+2)+f(2.5^(2)+2.5))/(2)+(f(2.5^(2)+2.5)+f(3^(2)+3))/(2)) (B) is the midpoint Riemann sum approximation and overestimates int_1^3 f(x^(2)+x)dx. (1)/(2)(f(1.25^(2)+1.25)+f(1.75^(2)+1.75)+f(2.25^(2)+2.25)+f(2.75^(2)+2.75)) is (C) the midpoint Riemann sum approximation and underestimates int_1^3 f(x^(2)+x)dx. (1)/(2)(f(1.25^(2)+1.25)+f(1.75^(2)+1.75)+f(2.25^(2)+2.25)+f(2.75^(2)+2.75)) is the midpoint Riemann sum approximation. There is not (D) enough information to determine whether the approximation underestimates or overestimates int_1^3 f(x^(2)+x)dx. 1 of 6 Save&Exit X Let f be a continuous function such that f changes from increasing to decreasing, and the graph of f changes from concave up to concave down. Which of the following is true about the midpoint Riemann sum approximation for /" f(2 +x)aa using 4 subintervals of equal width? 2 2 2 is the midpoint Riemann sum approximation and underestimates / T103 (f(12+1)+(1.52+1.5)+f(1.52+1.5)+f(2+2)+f(2+2)+(2.52+2.5)f(2.52+2.5)+f(3+3) ? is the midpoint Riemann sum approximation and overestimates /" f(x2+x)ax. (f(1.252 + 1.25) + f(1.752 + 1.75) + f(2.252 + 2.25) + f(2.752 + 2.75)) iS the midpoint Riemann sum approximation and c underestimates (f(1.252 + 1.25) + f(1.752 + 1.75) + f(2.252 + 2.25) + f(2.752 + 2.75)) is the midpoint Riemann sum approximation. There is not enough information to determine whether the approximation underestimates or overestimates f(x2+x)dx.

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Incest is a taboo in every human culture. However, because "family" is defined differently in different cultures, rules around what is incest and what is not incest are also different from culture to culture. In a very strongly patrilineal society, a man might be allowed to marry a blood-relative and NOT be guilty of incest, IF the blood relative is: Half-sister with a different father Half-sister with a different mother Father's sister Mother's mother

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