Numerade

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Find the slope of the line passing through the given pair of points. (-4, -6) and (-8, -6) A. 3 B. Not defined C. 1 D. 0

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Evaluate the limit: \begin{equation*} \lim_{x \to 9} \frac{5x - 45}{x^2 - 5x - 36} = \underline{\hspace{2cm}} \end{equation*}

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5. In many countries, there are several types of safeguards against financial instability. Explain 3 of them. (6 points) 6. Explain absolute and relative purchasing power parity. Write down their equations. Does empirical evidence support these theories? (6 points)

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xFind the information about the complex number in rectangular form. This exercise should be worked without the aid of a calculator. z = 1 3 i a) Find the real and imaginary parts of z : R e ( z ) = I m ( z ) = b) Rewrite z in the polar form of a complex number: z = r ( cos ( heta ) + i sin ( heta ) ) where heta is in the interval [ 0 , 2 pi ) , where r = no trig functions allowed. syntax incomplete. and heta =

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Question 2 For the circuit below, A_(V) = 4V/V and R3 = 4.1 kOhms. What is the value of i_(ex) in uA? R15k a R2 1 kΩ VY WW R3 Vx = Av Vy 1V Vex b

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04. (a) A single phase full wave uncontrolled bridge rectifier supplies 107 V, 10 A to a highly inductive load. The diode bridge is connected to a single phase a.c. supply via a transformer. Assuming that each diode has a voltage drop of 0.8 V and mean load voltage is equal to $V_{mean} = 2V_{max}/\pi$, calculate: (i) The rms voltage and current at the transformer secondary side. [6] (ii) The transformer ratio and rating in kVA, if the primary side is connected to a 240V supply. [3] (b) With the aid of simple sketches, explain the difference between continuous and discontinuous inductor current in switching mode regulators. Include in your answer the impact of the current type on inductor size and conversion efficiency. [6] (c) A fully-controlled three-phase bridge converter is supplied at 220 V from a 50 Hz AC supply with a source reactance of 0.24 Ohms per phase. The converter delivers a continuous current of 40 A to a load. Thyristor voltage drop is 0.7V. The mean output voltage of a $p$-pulse converter is given by the expression: $V_{mean} = \frac{pV_{max}}{\pi} \sin \frac{\pi}{p} \cos \alpha - \frac{pX}{2\pi}I_L$ where $\alpha$ is the firing angle, $X$ is the source reactance and $I_L$ is the load current. (i) Determine the mean output voltage of the converter for a phase delay angle of 45°. [5] (ii) Determine the input power factor for the above firing delay angle. [5] [TOTAL: 25 marks]

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Moving to another question will save this response. Question 14 Air is compressed from 100 kPa and 20 $^\circ$C to 884 kPa (stagnation values) by a centrifugal compressor. Assuming an isentropic compression, determine the power input (in kW) to the compressor if the mass flow rate is 0.05 kg/s. ($c_p$=1005 J/kg.K, k=1.4) Moving to another question will save this response.

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Question 1 (Empirical Demand Distribution) The Supermarket Store is about to place an order for Halloween candy. One best-selling brand of candy can be sold for $ 5.50 per box, and purchased for $ 2.50 per box before and up to Halloween. After Halloween, all the remaining candy can be marked down and sold for $ 1.00 per box. Assume that the loss in goodwill "cost" stemming from customers whose demand is not satisfied is $ 0.35. The empirical demand distribution at the sales price is $ 5.50 is as follows. Demand - D | Probability - f(D) 20 | 0.05 24 | 0.10 28 | 0.30 32 | 0.20 36 | 0.25 40 | 0.06 44 | 0.04 The Store Manager's perception is that the optimal order quantity is either 24, 28, 32, or 36 boxes. Thus, in the past, he has determined the best order quantity by completing the following table where for example, (a) ?(D=20,Q=24) is the exact profit realized by the store if the demand is 20 boxes, and the store orders 24 boxes; and (b) in the last row, E[?(Q=24)] is the expected (average) profit if the store orders Q=24 boxes and is calculated as [?(D=20,Q=24)*f(D=20)] + [?(D=24,Q=24)*f(D=24)] + [?(D=28,Q=24)*f(D=28)] + [?(D=32,Q=24)*f(D=32)] + [?(D=36,Q=24)*f(D=36)] + [?(D=40,Q=24)*f(D=40)] + [?(D=44,Q=24)*f(D=44)]. You are required to complete the table for this problem. Demand - D | Probability - f(D) | Potential Order Quantities | | Q=24 | Q=28 | Q=32 | Q=36 20 | 0.05 | ?(D=20,Q=24) | ?(D=20,Q=28) | ?(D=20,Q=32) | ?(D=20,Q=36) 24 | 0.10 | ?(D=24,Q=24) | ?(D=24,Q=28) | ?(D=24,Q=32) | ?(D=24,Q=36) 28 | 0.30 | ?(D=28,Q=24) | ?(D=28,Q=28) | ?(D=28,Q=32) | ?(D=28,Q=36) 32 | 0.20 | ?(D=32,Q=24) | ?(D=32,Q=28) | ?(D=32,Q=32) | ?(D=32,Q=36) 36 | 0.25 | ?(D=36,Q=24) | ?(D=36,Q=28) | ?(D=36,Q=32) | ?(D=36,Q=36) 40 | 0.06 | ?(D=40,Q=24) | ?(D=40,Q=28) | ?(D=40,Q=32) | ?(D=40,Q=36) 44 | 0.04 | ?(D=44,Q=24) | ?(D=44,Q=28) | ?(D=44,Q=32) | ?(D=44,Q=36) Expected Profits for the Supermarket Store | E[?(Q=24)] | E[?(Q=28)] | E[?(Q=32)] | E[?(Q=36)]

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7. Peters, Inc. produces 3 products: P1, Q2, and R3. P1 requires 400 purchase orders, Q2 requires 600 purchase orders, and R3 requires 1,000 purchase orders. Peters has identified an ordering and receiving activity cost pool with allocated overhead of $240,000 for which the cost driver is purchase orders. Direct labor hours used on each product are 50,000 for P1, 40,000 for Q2, and 110,000 for R3. How much ordering and receiving overhead is assigned to each product? $48,000 $72,000 $120,000 8. Kiner Co. computed an overhead rate for machining costs ($500,000) of $5 per machine hour. Machining costs are driven by machine hours. If computed based on direct labor hours, the overhead rate for machining costs would be $10 per direct labor hour. The company produces two products, Cape and Chap. Cape requires 60,000 machine hours and 20,000 direct labor hours, while Chap requires 40,000 machine hours and 30,000 direct labor hours. Using activity-based costing, what is machining costs assigned to each product? $300,000 $200,000 9. Noland Company manufactures two models of its banjo, the Basic and the Luxury. The Basic model requires 10,000 direct labor hours and the Luxury requires 30,000 direct labor hours. The company produces 3,400 units of the Basic model and 600 units of the Luxury model each year. The company inspects one Basic for every 100 produced, and inspects one Luxury for every 10 produced. The company expects to incur $112,800 of total inspecting costs this year. How much of the inspecting costs should be allocated to the Basic model using ABC costing? $40,800 10. Ben Gordon, Inc. manufactures 2 products, wheels and seats. The company has estimated its overhead in the assembling department to be $660,000. The company produces 300,000 wheels and 600,000 seats each year. Each wheel uses 2 parts, and each seat uses 3 parts. How much of the assembly overhead should be allocated to wheels? $165,000. 11. Windsor Co. incurs $1,050,000 of overhead costs each year in its three main departments: machining ($600,000), inspections ($300,000), and packing ($150,000). The machining department works 4,000 hours per year, there are 600 inspections per year, and the packing department packs 1,000 orders per year. Information about Windsor's two products is as follows: Product X: - Machining hours: 1,000 - Inspections: 3,000 - Orders packed: 500 - Direct labor hours: 650 Product Y: - Machining hours: 1,700 - Inspections: 1,800 - Orders packed: 350 - Direct labor hours: 1,800 If traditional costing based on direct labor hours is used, how much overhead is assigned to Product X this year? $510,000

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Problem 4 (20 points) Given that the Fourier transform of $x(t)$ is $X(j\omega) = \frac{e^{j\omega}}{1 + j\omega}$ find the Fourier transform of the following signals in terms of $X(j\omega)$. a. $y(t) = e^{jt}x(t - 1)$ b. $y(t) = x(-t) * x(t - 1)$ c. $y(t) = tx(t)$

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brandy d.