Numerade

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Question 1: Recall that computing roots of a quadratic equation $ax^2 + bx + c = 0$, requires the evaluation of the discriminant $b^2 - 4ac$. Assume that the three variables $a$, $b$ and $c$ are given in three registers R0, R1 and R2, respectively. Write an efficient assembly program (using minimum number of instructions) that will calculate the discriminant and store the result in register R5. Question 2

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9. Convert the following explicit ODE to a first-order system of equations: $y'''(t) + \sin(t)y''(t) + cy'(t) + (y(t))^2 = f(t)$ Then show how to solve this equation using Forward Euler and the condition for stability.

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Question 5 0.5 Point List the various types of electromagnetic energy on the EM spectrum in the order they present themselves. This should from short to long wavelengths. (Left to Right). A Cosmic Rays, Gamma Rays, TV/FM waves, UV, X-rays, IR, AM Radio, Long Radio Waves, Microwaves, VL B Sunlight, Laser Rays, Gamma Rays, UV, VL, Microwaves, IR, TV/FM Waves, AM Radio, Long Radio Waves C Long Radio Waves, AM Radio, TV/FM Radio, Microwaves, IR, VL, UV, X-rays, Gamma Rays, Cosmic Rays D Cosmic Rays, Gamma Rays, X- Rays, UV, VL, IR, Microwaves, TV/FM Radio, AM Radio, Long Radio Waves

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Simplify the polynomial by combining any like terms. 2x\textsuperscript{2}y + 9xy\textsuperscript{2} - 2yx\textsuperscript{2} + 6 - 7y\textsuperscript{2}x 2x\textsuperscript{2}y + 9xy\textsuperscript{2} - 2yx\textsuperscript{2} + 6 - 7y\textsuperscript{2}x = \boxed{ }

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A perfectly competitive firm is making plans for the coming two years of production. Market rate is 10%. Fixed and Variable costs: The firm can purchase a fixed asset at $5,000,000. With this fixed asset firm’s variable costs will be 6Q+Q^2/11,000. If the firm buys an additional machine for $3,000,000, firm’s variable costs will be 3Q+Q^2/14,000 instead. All costs are due today, at the beginning of the first year.

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Which statement best explains why the SEC has concerns about the independence of an audit firm when its audit client owes a substantial amount of fees to the firm? The firm may have a conflicting interest with the client. The firm may fail to exercise due care when performing the service. The firm will perform a management function for the client. The firm will have an interest in the client's results of operations.

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Use the following account balance information for Granobfin Partnership with income ratios of 2:4:4 for Steven, Noble, and Finn, respectively. Assets Liabilities and Owner's Equity. Cash $54100 Accounts payable $126300 Accounts receivable 131900 Steven, Capital 138100 Inventory 437700 Noble, Capital 48100 Finn, Capital 311200 $623700 $623700 Assume that, as part of liquidation proceedings, Granobfin sells its noncash assets for $360400. As a result, one of the partners has a capital deficiency which that partner decides not to repay. The amount of cash that would ultimately be distributed to Finn would be ? $311200. ? $144100. ? $227520. ? $203800.

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4) Balls are tossed from the roof of a building, all with the same launch speed but at different angles as shown in the diagram. Which ball/path will result in the highest speed when it hits the ground if we assume negligible air resistance? a) A b) B c) C d) All will have equal speed at impact e) Not enough information to answer

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Exercise 4.5. Write a method called reduce, which takes in two HashMap<String, Integer> objects. Each HashMap contains the word count of a separate piece of a single document. The keys are words that were found in that piece of the document, and the value for each key is the number of times that word occurred in the piece of the document. This method's output is a single HashMap, which contains the word counts of both maps combined¹. For example, if the inputs are ["aiko": 2, "fluffy": 5, "zugzwang": 10] and ["fluffy": 1, "aiko": 5, "panda": 2222] the output should be ["fluffy": 6, "zugzwang": 10, "aiko": 7, "panda": 2222]

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1. Draw the DC equivalent circuit and the AC equivalent circuit for the unloaded amplifier in Figure 6.47. And then find $Z_i$ and $A_v$. $V_{cc}$ \\ $+15 V$ $R_1$ $22 k\Omega$ $R_C$ $2.2 k\Omega$ $C_2$ $1 \mu F$ $V_{out}$ $C_1$ $1 \mu F$ $V_{in}$ $\beta_{DC} = 90$ $\beta_{ac} = 100$ $R_2$ $4.7 k\Omega$ $R_E$ $1.0 k\Omega$ Figure 6.47 For Problem 1. [5] 2. Connect a bypass capacitor across $R_E$ in the amplifier in problem 1, and then find $Z_i$ and $A_v$. 3. Connect a 10 k$\Omega$ load resistor to the output in the amplifier in problem 1, and then find $Z_i$ and $A_v$.

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jason g.