Numerade

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2. Consider a system with input $x(t)$ and output $y(t)$ with the following $H(s)$: $$H(s) = \frac{10}{s+5}$$ (a) Find the Fourier series coefficients of the exponential form for $x(t)$ using Table 4.3, where $x(t)$ is the square wave, with $X_0 = 10$ and $T_0 = 3\pi$. (b) Find the Fourier series coefficients $C_n$ of the exponential form for forced output $y_p(t)$ for $n = 0, \pm 1, \pm 2$.

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20.7 Two identical metal spheres A and B are in contact. Both are initially neutral. 1.0×1012 electrons are added to sphere A, then the two spheres are separated. Afterward, what are the charge of A and the charge of B?

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You may or may not be an "English as a Second Language" learner. If you are, do you think you can relate to any of the learning strategies we read/learned about today? Please explain in detail how. If you're not, please explain in detail how you can ensure that you will implement what we have learned (with details)?

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(????) Evaluate the integrals for $f(x)$ shown in the figure below. The two parts of the graph are semicircles. a) $\int_0^2 f(x) dx = -\frac{\pi}{2}$ b) $\int_0^6 f(x) dx = 23.5\pi$ c) $\int_1^4 f(x) dx = 5\pi$ d) $\int_1^6 |f(x)| dx = (\frac{\pi}{4}) + 2\pi$

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The text appears to be free of spelling, typographical, grammatical, OCR, and mathematical errors. However, the formatting could be improved for better clarity and coherence.

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Use the following information to calculate the firm's return-on-equity (ROE) as of the end of 2022: Income Statement For the Year 2022 Net Sales $ 100,000 Cost of Goods Sold (COGS) $ 77,000 Depreciation Expense $ 8,435 EBIT $ 14,565 Interest Expense $ 2,782 EBT $ 11,783 Tax Expense $ 2,474 Net Income $ 9,309 Balance Sheet Beginning of 2022 End of 2022 Cash $ 3,750 $ 4,500 Accounts Receivable $ 9,140 $ 8,615 Inventory $ 2,390 $ 2,640 Net Fixed Assets $ 100,670 $ 120,500 Total Assets $ 115,950 $ 136,255 Accounts Payable $ 2,360 $ 3,330 Long-term Debt $ 75,190 $ 92,725 Common Stock $ 7,500 $ 8,200 Accumulated Retained Earning $ 30,900 $ 32,000 Total Liabilities and Equity $ 115,950 $ 136,255 Note: Report your answers as a percentage (i.e. 1.23, not 0.0123). Do not include a percentage sign in your answer.

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QUESTION 2 The molecule of C2H4 dissociates at an elevated temperature according to the chemical reaction written below: $C_2H_4 (g) \leftrightarrow C_2H_2 (g) + H_2 (g)$ Ethylene gas is introduced in a 2.500L closed container and maintained at 727.0 °C until the total pressure is $1.013 \times 10^3$ kPa. After being allowed to reach equilibrium, the partial pressure of H? is measured at 14.08 kPa. Calculate $\Delta_r G^\circ$ for the above reaction.

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3 Consider the game 'Chicken'. What are the Nash equilibria? Now consider the same game structure, but allow one player to move prior to the other. Draw the game tree and determine the sub-game perfect Nash equilibrium strategies. Is it better to be the first or the second mover in this game?

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Suppose a research company is appointed to help select the entry method for the Australian supermarket chain Coles to enter the Indian market, they propose Coles to use the franchising entry method. Discuss the concept of franchising and the advantages and disadvantages of franchising entry mode, and discuss why franchising entry mode is suitable for Coles to enter the Indian market.

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(c) Given the following classification tree, write down three rules of possible actions: Busy Yes No Do homework Hungry No Visit shopping mall Yes Eat dinner (5 marks)

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