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40 Points. Consider four rats in a cage. Each rat alternates between periods of eating and periods of not eating. The eating period lasts an exponentially distributed amount of time with mean half an hour, and the noneating period lasts an exponentially distributed amount of time with mean three hours. Assume that the rats act independently of one another. Consider this as a Continuous Time Markov Chain (CTMC) process, where the state represents the number of rats currently eating. (a) Draw the transition diagram. (b) Give the transition rate matrix. (c) If two rats are eating, what is the expected time until this changes?

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_____Blank refers to the perceived negative or positive assessment of an unexpected behavior. Multiple Choice Threat threshold Double agency Violation valence Territoriality

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If y2 is negative, then y1 + y2 will lie below y1 by a distance equal to

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Styling content for mobile devices is the same as styling content for a desktop display. Question 20 options: True False

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Problem 5: The code below is written to find the highest and the lowest daily temperature, as well as average temperature in January in California. There is one mistake in the code that most likely will give the wrong result, which? %%%%%%% dailyJanuary.txt min = 0; max = 0; total = 0; for i = 1:length(dailyJanuary) if dailyJanuary(i) < min min = dailyJanuary(i); end if dailyJanuary(i) > max max = dailyJanuary(i); end total = total + dailyJanuary(i); end meanTemp = total/length(dailyJanuary) %%%%%%%%%%%%%%%%%%%% %%%%%%%% load %%%%%%%%

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Problem 1. Given the bilateral z-transform: $F_b(z) = \frac{z}{(z^2 - 1/4)}$ a) (3 points) Find the partial fraction expansion: $F_b(z) = K_1 \frac{z}{z-a} + K_2 \frac{z}{z-b}$ show work. b) (3 points) If the ROC is defined as: $|z| < 1/2$ sketch: (1) the region of convergence and (2) show location of poles of $F_b(z)$. ECE-S303 Signals and Systems II Quiz 6 Summer 2021-2022 c) (3 points) If the ROC is defined as: $|z| > 1/2$ sketch: (1) the region of convergence and (2) show location of poles of $F_b(z)$. d) (1 points) It is desired to find the DTFT of $F_b(z)$ which part (b or c) has a DTFT? Is this part also stable? Explain in detail.

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100 k\Omega 5 k\Omega 40 k\Omega + 1.5 V 10 k\Omega + + 2.25 V 10 k\Omega + + 0 50 k\Omega 20 k\Omega

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Question 3 (10 points) Following data is available for a single stage RO desalination system Feed flow rate = 2.5 kg/s Feed salinity = 42000 ppm Feed pressure = 8000 kPa Permeate flow rate = 1 kg/s Permeate salinity = 145 ppm Permeate pressure = 101 kPa Reject brine pressure = 7800 kPa Salt permeability coefficient = $2.03 \times 10^{-5} m^3/m^2.s$ Water permeability coefficient = $2.05 \times 10^{-6} m^3/m^2.s.kPa$ Hints: 1) For simplicity, you can use the following conversion factor if needed: 1000 ppm = 1 kg/m³ 2) Rule of thumb for osmotic pressure calculation: 1000 ppm = 75.84 kPa pressure 3) Gas Constant = 8.314 $m^3.Pa/mol.K$, MW of NaCl = 58.5 g/mol, T = 25°C. Using the above data, Calculate the followings: a) The average salinity kg/m³ (4 points) b) Concentration of the rejected brine using concentration factor (3 points) c) Membrane area required to perform the above job (3 points)

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Which of the following is associated with morality by moral thinkers and moral philosophies throughout the world? a. happiness b. self-interest c. money d. all these answers are correct. 5. Carol Gilligan suggested which of the following statements? a. Kolberg's studies of moral development all relied on data collected from men. b. Men and women do not differ in how they develop morally. c. Men tend to emphasize individual needs and follow rules. d. Women adopt the caring perspective in moral decision. 8. Which of the following best describes utilitarianism? a. the moral theory that claims you should follow cultural relativism b. the moral theory that claims you should never violate the rights of others c. the moral theory that claims you should do what will best promote general happiness d. the moral theory that claims there are no universal moral truths. 9. Which of the following statements is NOT true? a. The liberty rights mean the right to be left alone to pursue our legitimate interests. b. Welfare rights cause people to rely on government free money and have a negative effect on our pursuit of legitimate interests. c. Gratitude and self-improvement are among the list of duties emphasized by deontology. d. Virtue ethics emphasize character is more important than right actions. 12. (T/F) The approval of others is very important to those in the post-conventional stage of moral development. 18. A __________________________ is a conflict of moral values such that any solution to the conflict will involve violating at least one of the conflicting values, and it can be used to advance moral development.

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The Economist magazine states that "[t]he world economy looks very different once countries' output is adjusted for differences in prices." The Economist, May 27th, 2004. Explain why PPP measures of income levels are appropriate in determining differences between rich and poor countries. Determine, using the Big Mac PPP, if Costa Rica's currency is overvalued or undervalued against the dollar, given the following information. Show all your calculations and explain. Big Mac price in Costa Rica's currency: 2290 colones Big Mac's price in U.S. dollars: 5.58 dollars Market exchange rate: 606.975 colones/$

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