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6) Give the general solution to the following non-homogeneous differential equation: (12) $y'' - y' - 2y = 20e^{3x} + 6 - 8x$

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Assuming all transistors in the circuits below are in saturation region and $\lambda \neq 0$, calculate the low-frequency small-signal differential voltage gain of each circuit (2 circuits). You may assume that the amplifiers are perfectly symmetric (i.e. $R_1 = R_2$, $g_{m3} = g_{m4}$, $g_{m1} = g_{m2}$). You only need to find the gain in terms of variables (no numerical answers). $V_{DD}$ $V_{DD}$ $M_3$ $M_4$ $M_3$ $M_4$ $V_{out}$ $R_1$ $R_2$ $R_1$ $V_{out}$ $V_{in1}$ $M_1$ $M_2$ $V_{in2}$ $V_{in1}$ $M_1$ $M_2$ $V_{in2}$ $V_b$ $M_5$ $V_b$ $M_5$ HINT: YOU CAN USE 1/2 CIRCUIT ANALYSIS TO SIMPLIFY THESE CIRCUITS.

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5-4C Consider a device with one inlet and one outlet. If the volume flow rates at the inlet and at the outlet are the same, is the flow through this device necessarily steady? Please justify your answer with a verbose, professional explanation.

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Figure Q3(c) Pipe nozzle 4 (a) For the Venturimeter shown below in Figure Q4(a), derive an equation for the velocity $v_1$ (at the point labelled 1), in terms of h, $\beta$ and $p^*$ where $\beta = D_1/D_2$ and $p^* = p_m/p_r$. $p_m$ is the density of the manometer fluid and $p_r$ is the density of the flowing fluid. (12) Figure Q4(a) Venturimeter EN2702 Thermofluids 2 4 Q4 continued overleaf/ December 2023

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Imagine you're studying for a psychology exam and want to improve your memory retention. Which of the following approaches would be the most effective based on memory research?

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8. Write a program that converts Celsius temperatures to Fahrenheit temperatures. The formula is as follows: F = C \times 9/5 + 32 The program should ask the user to enter a temperature in Celsius, then display the temperature converted to Fahrenheit. (1 point)

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Let H be the cyclic group of $S_3$ generated by the element $\begin{pmatrix} 1 & 2 & 3 \\ 2 & 1 & 3 \end{pmatrix}$. Then no right class of H is a left class of H, in fact there exists a $\in S_3$ such that $aH \cap Ha = \{a\}$

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Question 3 (20 Points) Married Filing Jointly Married Filing Separately Single Head of Household 10% $0-$10,275 $0-$20,550 $0-$10,275 $0-$14,650 12% $10,276-$41,775 $20,551-$83,550 $10,276-$41,775 $14,651-$55,900 22% $41,776-$89,075 $83,551-$178,150 $41,776-$89,075 $55,901-$89,050 24% $89,076-$170,050 $178,151-$340,100 $89,076-$170,050 $89,051-$170,050 32% $340,101-$431,900 $170,051-$215,950 $215,951-$539,900 $215,951-$539,900 35% $431,901-$647,850 $215,951-$539,900 37% $539,901+ $647,851+

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3 The purpose of equity presentation is to assess the management's efficiency and stewardship, the owner's investment history and prospects, and the juridical responsibility of the owners. Therefore, Statement of Changes in Stockholder's Equities should contain the following information: (1 Point) A. Sources of equity B. Limitation on dividend distribution and liquidation C. Limits of equity holder protection D. Sequence of loss absorption E. All Answers are True

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1. A worker in the Grand Duchy of Fenwick can produce 20 pounds of cheese in one labor hour, or, using the exact same resources, bake 10 loaves of bread. A worker in Freedonia can produce fifty pounds of cheese in one labor hour, or use the exact same resources to bake 40 loaves of bread. a. In which country does labor have the comparative advantage in making cheese? What about in baking bread? b. If a pound of cheese sells for $2, within what price range would a loaf of bread sell? (Hint: Think about the trade range of cheese for bread.) c. Suppose that in Freedonia, instead of a worker producing 40 loaves of bread, they were only able to produce 25 loaves of bread. Who has the comparative advantage in making cheese now, a worker in the Grand Duchy of Fenwick, or a worker in Freedonia? What about for bread? Explain your answer.

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scott m.