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james nieto

james n.

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Problem 1 Find The Laplace Transform of a. $f(t) = \sin(t-2) u(t-2)$ b. $f(t) = \frac{5}{2}t[u(t) - u(t-2)]$ c. d. h(t) 20 10 0 4 8 t f(t) 2 0 1 2 3 4 5 t Problem 2 Find The Inverse Laplace Transform of a. $\frac{5s-6}{s^2+9}$ b. $\frac{s}{(s+1)^2+4}$ c. $\frac{9}{2s^2+7s-4}$ d. $\frac{4s+1}{s^3+2s^2+s}$ e. $\frac{7s-20}{s(s^2-4s+20)}$ f. $\frac{(s+1)}{s(s^2+4s+5)}$

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What is the process for the removal of directors under the Companies Act, 2013?

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Consider a insoluble salt in which the absolute value of the lattice enthalpy is more than the absolute value of the heat of hydration. What are the signs of standard Gibbs energy, enthalpy and entropy of dissolution? Select the words positive, zero, negative, or unknown in each of the boxes when adding a solid salt to water. Note that we are discussing the solubility reaction.

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At time $t_1$, a car is traveling to the west with speed $v$. At time $t_2$, the car is traveling to the east with speed $v$. Which of the following correctly indicates the change in the kinetic energy $\Delta K$ of the car between times $t_1$ and $t_2$, and provides a valid justification?

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Zahler Company uses a periodic inventory system and the average cost method. At December 31, 2025, the following information has been compiled for its finished goods inventory: Replacement value $13,000 Cost $14,500 Expected selling price $15,000 Normal profit margin 15% Selling costs 5% of expected selling price After applying LCNRV, Zahler, which uses the cost of goods sold method to record inventory write-downs, will make an entry debiting Cost of Goods Sold for $250. crediting Inventory for $500. crediting Cost of Goods Sold for $1,500. debiting Inventory Loss for $500.

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• Step 1: Test hypothesis Null hypothesis- Ho: u = • Alternate hypothesis- Ho: u = # Step 2: Level of significant Level of significant: 0.05 Step 3: Select test statistic Using z value Z= Step 4: Critical Value Critical value: +/- Protein Drinks- Grams of Cholesterol 20 0 10 20 10 15 5 9 25 35 2 36 22 17 40 20 24 12 17 33 Step 5: Decision Reject Ho if z Step 6: Interpret the result

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3.1. A fluid of density $\rho(x, y, z, t)$ moves with a velocity $V(x, y, z, t)$. If there are no sinks or sources, show that $\nabla \cdot J + \frac{\partial \rho}{\partial t} = 0$, Where $J = \rho v$ 3.2. Show that the magntic force on a current carrying conductor is given by dF = IdLB. Symbols have their usual meaning.

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V. Are both UDP and IP unreliable to the same degree? Briefly explain basis of your answer. Question 3 Consider figure 1 where a packets with 1000 bits long is generated at node A and sent to node C through node B. Data rate between A and B is 150 kbps. The propagation delay is 5 µs/km. Determine the minimum data rate required between node B and C so that the buffer of node B are not floooded. A 3000km 1500km C B Figure 1 ii. Outline the process (with the aid of a well label diagram) involve in your browser (client) getting a URL (e.g www.uenr.edu.gh) from the HTTP server. Suppose Host A wants to send a large file to Host B. The path from Host A to Host B has three links, of rates, R1 = 9500 kbps, R2 = 2 Mbps, and R3 = 1 Mbps. a) Assuming no other traffic in the network, what is the throughput for the file transfer? b) Suppose the file is 4 million bytes. Dividing the file size by the throughput, roughly how long will it take to transfer the file to Host B? c) Repeat (a) and (b), but now with R2 reduced to 250 kbps. Question 4 i. Briefly explain the reason behind subnetting of a network? ii. Find the network id and the host id of the following IP address. a. 132.56.8.6 b. 208.34.54.12

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(a) What is the correct mean particle diameter to be used in the Ergun equation? How can this diameter be derived from a volume distribution? [2] (b) The main contribution to pressure drop in packed beds at high particle Reynolds number i.e. Rep > 1000 is kinetic energy losses caused by changes in channel cross section and flow direction expressed by the Burke-Plummer equation. (i) Starting from the equation for turbulent flow through pipes, derive the Burke-Plummer equation. (ii) By defining a modified friction factor, f, i.e. the ratio of the total pressure drop to the kinetic energy losses, show that f = 150/Re* + 1.75, where Re* is a modified Reynolds number. [6] Tubes packed with 2 m of 3 mm by 3 mm cylindrical catalyst pellets. The air enters at 350°C and 2 atm with a superficial gas velocity of 1 m/s. (i) What is the pressure drop through the packed tubes? (ii) How much would the pressure drop be reduced by using 4 mm pellets? The viscosity of the fluid is 3 x 10^-5 Pa.s and the standard molar volume is 22.4 m^3/mol. [12]

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Assume a set 10 threads running following a round robin scheduling approach. The time slice is 5 ms, and the amount of time need it to update a share variable in the critical section is 6 ms. Let's assume that thread one was able to get into the critical section. Also assume that thread one gives up the CPU as soon as leave the critical section. How long is going to take for thread 2 to get into the critical section? (counting from the very beginning) 5 ms 49 ms 51 ms 60 ms

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