Numerade

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1. Resuelve mediante los métodos y técnicas de análisis de circuitos eléctricos [análisis nodal, análisis de mallas, superposición y transformación de fuentes] el siguiente circuito para hallar el valor de $v_o$. (40 ptos.) Nota: es necesario y obligatorio explorar los cuatro métodos de forma individual. 2 A 9 $\Omega$ 3 A 4 $\Omega$ 5 $\Omega$ + $v_o$ - 2 $\Omega$ 30 V 6 A

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At what temperature will O2(g) have a root mean square velocity of 513.5 m/sec? 660 K 65.29 oC 340 K 386.8 oC

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Suppose two cities, A and B, are located on the downward sloping portion of the same utility-density curve. Suppose also that both cities are initially in long-run spatial equilibrium. Suppose that city A experiences a positive technology shock that raises wages for all levels of that city’s size. In a new long-run spatial equilibrium, which of the following will occur: (A) City A’s population will increase. (B) City B’s population will increase. (C) Utility in both cities will rise. (D) All of the above. (E) (A) and (C) (F) (A) and (B)

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In the short run, it is assumed that at least one of a firm's inputs is fixed and cannot be changed. Explain why this assumption is critical for understanding diminishing marginal returns to the variable input.

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Number one way to prevent the spread of infection is by practicing proper hand hygiene. True False

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Question 2 (1 point) Saved Class discrimination and racial discrimination are identical and involve identical groups of people True False Question 3 (1 point) Saved Segregation in public schools has increase since the early 1980s. True False Question 4 (1 point) Saved The segregation of Hispanic students is somewhat less than those of black students True False

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18: Write down the $K_{sp}$ (ion product) expression of $Ag_2CrO_4$

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Computer Organization and Architecture Solve Q2 1. Write Boolean equations in sum-of-products and product-of-sums canonical forms for each of the truth tables in Figure 1, and then minimize each of the sum-of-product equations. [52] (a) A B C Y 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 (b) A B C Y 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 (c) P Q R S Y 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 2. Sketch a reasonably simple combinational circuit implementing each of the functions from question #1 using [22] a) Appropriate logic gates, b) Only NOT gates and AND and OR gates, c) Only NOT gates and NAND and NOR gates.

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The following graph shows the horsepower and torque as a function of the engine speed for a 1964 sports car (a) On what intervals is the power increasing with engine speed? (b) On what intervals is the power decreasing with engine speed? (c) On what intervals is the torque increasing with engine speed? (d) On what intervals is the torque decreasing with engine speed? 350- 300- 250- Power (hp), Torque (ft-pounds) 200- 150- 100- 50- 25 30 35 40 45 50 55 60 Engine Speed (RPM in 1000) (a) Determine the interval(s) of engine speed, measured in RPM, over which the power is an increasing function of the engine speed. Choose the correct answer below A. (2500,3100),(4700,6000) B. (3100,4700) C. (2500,5500) D. (5500,6000) E. The function is never increasing A (b) Determine the interval(s) of engine speed, measured in RPM, over which the power is a decreasing function of the engine speed Choose the correct answer below A. (5500,6000) B. (3100,4700) C. (2500,3100),(4700,6000) D. (2500,5500)

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a) The volume of water left has been recorded within time interval [0,6] min when the water flow from a draining hemispherical reservoir. Complete the following table using forward difference approximation of $O(h)$ for $t = 0$ and backward difference approximation of $O(h)$ for $t = 6$ and centered difference approximation of $O(h^2)$ for $t$ $=1,2,3,4$ and 5. + Time, $t$ (minute) 0 1 2 3 4 5 6 Volume, $V$ $(m^2)$ 36 30 24 18 12 6 0 $\frac{dV}{dt}$ (4 marks) b) The volume of water left has also been recorded for each water level (deep), $y$. Complete the following table using forward difference approximation of $O(h)$ for $y = 12$ and backward difference approximation of $O(h)$ for $y = 0$ and centered difference approximation of $O(h^2)$ for $y = 10,8,6,4$ and 2. Water level, $y$ (m) 12 10 8 6 4 2 0 Volume, $V$ $(m^2)$ 4072 2545 2078 1244 586 155 0 $\frac{dV}{dy}$ (4 marks) c) Calculate the rate of water level changing when the water is 8 m deep using parts (a) and (b). (2 marks)

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