Numerade

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short-run equilibrium output equals 20,000 and potential output (Y*) equals 25,000, then this economy has a(n) ______Blank gap that can be closed by _________Blank.

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At $t = 0$, a 12.0-V battery is connected in series with a 220-mH inductor and a total of 30-$\Omega$ resistance, as shown. (a)What is the current at $t = 0$? (b)What is the time constant? (c)What is the maximum current? (d)How long will it take the current to reach half its maximum possible value? (e)At this instant, at what rate is energy being delivered by the battery, and (f)what is the energy being stored in the inductor's magnetic field? $L = 220 mH$ $R = 30 \Omega$ $V_0 = 12.0 V$

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Tutorial Exercise Evaluate the definite integral. $\int_0^{\frac{\pi}{6}} [(\sec t \tan t)\mathbf{i} + (\tan t)\mathbf{j} + (2 \sin t \cos t)\mathbf{k}] dt$ Step 1 Integrate the given integral with respect to $t$ on a component-by-component basis. $\int_0^{\frac{\pi}{6}} [(\sec t \tan t)\mathbf{i} + (\tan t)\mathbf{j} + (2 \sin t \cos t)\mathbf{k}] dt$ $= \left[ \sec t \right]_0^{\frac{\pi}{6}} \mathbf{i} + \left[ \int_0^{\frac{\pi}{6}} (\tan t) dt \right] \mathbf{j} + \left[ \int_0^{\frac{\pi}{6}} (2 \sin t \cos t) dt \right] \mathbf{k}$ $= \left[ \sec t \right]_0^{\frac{\pi}{6}} \mathbf{i} + \left[ \ln |\sec t| \right]_0^{\frac{\pi}{6}} \mathbf{j} + \left[ \sin^2 t \right]_0^{\frac{\pi}{6}} \mathbf{k}$ $= \left( \sec \frac{\pi}{6} - \sec 0 \right) \mathbf{i} + \left( \ln \left| \sec \frac{\pi}{6} \right| - \ln |\sec 0| \right) \mathbf{j} + \left( \sin^2 \frac{\pi}{6} - \sin^2 0 \right) \mathbf{k}$ $= \left( \frac{2}{\sqrt{3}} - 1 \right) \mathbf{i} + \left( \ln \frac{2}{\sqrt{3}} - \ln 1 \right) \mathbf{j} + \left( \frac{1}{4} - 0 \right) \mathbf{k}$ $= \left( \frac{2}{\sqrt{3}} - 1 \right) \mathbf{i} + \ln \frac{2}{\sqrt{3}} \mathbf{j} + \frac{1}{4} \mathbf{k}$

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Ali is putting money into a savings account. He starts with $650 in the savings account, and each week he adds $40. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Ali has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 12 weeks. Equation: Total amount of money after 12 weeks: $

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What is meant by the concept of the "power" of a test? How does the power change when the sample size increases? [100 words or less.]

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Q3: Guelph Amber University has found it necessary to minimise the parking lot costs. The university is now considering several alternative places for parking. This table shows the expected annual costs and benefits of these alternatives. Answer the questions given below after required calculations based on cost benefit analysis. Show calculations for MC, MB and NB. (Figures in thousand dollars). 12 marks benefits Net benefits (NB) Total cost Total benefits Marginal cost Marginal (MC) Parking place per year per year (MB) Lot-1-East side 66 68 Lot-2-West side 73 76 Lot-3-North side 81 90 Lot-4-South side 90 102 Lot-5- First floor 100 112 Lot-6- 123 121 Underground > What is the optimal parking place for the Guelph Amber University? Why? ? Which parking lot place exhibit over allocation of resources? Why? ? Is the West side parking lot beneficial for the University? Why? Q4 Complete the following table regarding Consumer Surplus. 5 marks Consumers Price the consumer Price actually paid by Consumer Surplus would have paid ($) the consumer ($) (5) Hilton 14 6 Kristy 26 16 Laurie 24 14 Krishna 46 38 Total

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BC:7.4 Calculate the partial fraction expansion for each of the following ratios of polynomials of $z$: a.) $\hat{F}(z) = \frac{z^2 + 4z}{z^2 - 0.45z + 0.05}$ b.) $\hat{F}(z) = \frac{z^2 + 0.75z - 0.25}{z^2 - \sqrt{3}z + 1}$ c.) $\hat{F}(z) = \frac{-4z^2 + 1.7z + 0.15}{z^2 - 0.09}$

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H.W.: For the circuit of Fig. 3.15, compute the average power delivered to each of the passive elements. Verify your answer by computing the power delivered by the two sources. \newline $j45 \Omega$ \newline $-j100 \Omega$ \newline $10 \angle 50^{\circ} V$ \newline $2 \Omega$ \newline $5 \angle 0^{\circ} V$ \newline Fig. 3.15

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What differences are there in the terminology used in the two balance sheets? (IFRS vs GAAP)

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Draw the configuration of OTA as a Variable Resistor and derive the necessary expressions.

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juan jos- m.