Numerade

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Part A Costs that are always relevant in decision-making are: A. future costs. B. avoidable costs. C. sunk costs. D. fixed costs.

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Lessee Company enters into a 6-year finance lease of non-specialized equipment with Lessor Company on January 1. Lessee has agreed to pay $56,000 annually beginning immediately on January 1. The lessor estimates the residual value of the equipment to be $10,000 at lease end, and the lessee guarantees the residual value. The economic life of the asset is 7 years. The lessee’s incremental borrowing rate is 7% and the lessor’s implicit rate is not readily determinable by the lessee company.

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Question 1 Compute the derivative of $f(x) = 3x^2 - 2x + 1$ $f'(x) = 6x - 2$ $f'(x) = 3x - 2$ $f'(x) = x^3 - x^2 + x$ $f'(x) = 6$ None of these are correct.

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2. As you read through the checklists, you find that, in creating the forms used in your school system, a clerical error was made and both the means (having the means to follow through on the threat) and focus (the identification of specific individuals, locations or events as the target of the threat) ratings for the threat were omitted. In terms of classical test theory, this will add to ___________________________________________.

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Chi-Square Question 9 Mr. Jack Chia would like to determine if there is a relationship between the type of cakes preferred by students and the gender of the students in the Singapore Institute of Management. He has collected the following data: \begin{tabular}{|l|l|l|l|} \hline & Chocolate & Strawberry & Cheese \\ & Cakes & Cakes & cakes \\ \hline Male & 7 & 2 & 6 \\ Female & 4 & 8 & 8 \\ \hline \end{tabular} You are required to carry out a Chi-Square Test using a 5\% level of significance.

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13-7 Determine the speed of rotation of the output shaft in Fig. P13-7 and its direction of rotation when viewed from the right end. C30 E 45 D105 825 Arm 150 r/min Output Input A 50 Figure P13-7 CHAPTER 13. GEAR TRAINS, TRANSLATION SCREWS, MECHANICAL ADVANTAGE 13-7 Member Arm A B C D E Train locked and arm given one positive turn +1 +1 +1 +1 +1 +1 Arm fixed, D given one 0 $\frac{+(105 \times 25)}{30 \times 36}$ $-\frac{105}{30}$ $-\frac{105}{30}$ -1 $+\frac{(105 \times 30)}{30 \times 45}$ negative turn Resultant turns +1 +2.75 -2.5 -2.5 0 + 3.333 From results in table, $\frac{n_o}{n_A} = \frac{3.333}{2.75} = 1.21$ $n_o = 1.21 n_A = 1.21 (-150) = -181.5$ r/min Minus sign indicates cw

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6. Consider the transfer-function system \frac{Y(s)}{U(s)} = \frac{25.04s + 5.008}{s^3 + 5.03247s^2 + 25.1026s + 5.008} Obtain a state-space representation of this system with MATLAB.

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2. Read doc fzero to learn how to use MATLAB's fzero routine. This is an accelerated version of bisection called the Brent-Dekker algorithm, not covered in the textbook (but referenced briefly in §2.7.) (a) Try it out on the previous example: fzero(@sin, [a b]), replacing a and b with the ones you used. How many digits are correct? (b) Try out fzero's Display option: fzero(@tan, [1 2]) fzero(@tan, [1 2], optimset('Display', 'iter')) (Note: the second command may help you complete Question 1(b).) (c) Try out fzero's PlotFcns option: fzero(@sin, [3 4], optimset('PlotFcns', @optimplotfval)); (d) Add an optional sixth input argument to your function bisection, so that bisection(f, a, b, tol, maxits, 'iter') outputs all approximations to the root, not just the last one -- see Part (b) -- and so that bisection(f, a, b, tol, maxits, 'plot') generates a plot of the iteration history -- see Part (c). (You'll need to use varargin and strcmp.)

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QUESTION 5 Use convolution sum to compute the the convolution of the input and impulse response below. Show each computation step.

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Transform the circuit below to a simple Thevenin circuit (show all steps) (Remark: the load is already removed): V1 15 V 2 k? 1 k? A R4 R1 R3 1 k? R2 1 k? B

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margarita v.