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Problem #4 (10 points) Helium undergoes a polytropic expansion (n = 1.3) in a piston-cylinder assembly from $P_1 = 5$ atm, $T_1 = 300$ °F to $P_2 = 1$ atm. Assuming ideal gas behavior, determine the work and heat transfer, both on a per-mass basis (Btu/lbm). Also, sketch the process on a P-V diagram.

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Identify the correct order of lymphatic flow from the right arm back to the cardiovascular system: Afferent lymphatic vessels Right brachiocephalic vein Right subclavian vein Superior vena cava Efferent lymphatic vessels Right subclavian trunk Right lymphatic duct Interstitual fluid of the right arm Right atrium of the heart Lymphatic capillaries of the right arm Right axillary node

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A man of height 1.4m walks away from a 6m lamppost at a speed of 0.8m/s. Find the rate at which his shadow is increasing in length. Hint: Use properties of similar triangles.

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6. The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. What is the price elasticity of demand for this product? Did the revenue rise or fall for the supplier of this product?

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When your firm prices jeans at $20, it sells 100 pairs per month. When it cuts prices to $15, it sells 120 pairs per month. What is the percent change in the price you charged? (Please use the midpoint method. Enter any % as a decimal with the correct sign, so that -25% is "-0.25") You may wish to write this answer down. You'll be using it in a later question.

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8.44 Let Y have probability density function $f_Y(y) = \begin{cases} \frac{2(\theta - y)}{\theta^2}, & 0 < y < \theta, \\ 0, & \text{elsewhere.} \end{cases}$ a Show that Y has distribution function $F_Y(y) = \begin{cases} 0, & y \le 0, \\ \frac{2y}{\theta} - \frac{y^2}{\theta^2}, & 0 < y < \theta, \\ 1, & y \ge \theta. \end{cases}$ b Show that $Y/\theta$ is a pivotal quantity. c Use the pivotal quantity from part (b) to find a 90% lower confidence limit for $\theta$.

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How many bags can be divided evenly with 80 pies and 100 candies?

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6) + $V_{ab}$ a 2\Omega 3\Omega b Find $V_{ab}$ 5V $V_i$ 5V + - $V_i +$ 1\Omega 4\Omega

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Current 1-Year 2Years At December 31 Year Ago Ago Assets Cash... $34.973 S39.277S 41,748 Accounts receivable, net 102,356 70,137 54,551 Merchandise inventory 126,194 8096 60,480 Prepaid expenses 10,821 10.205 4,731 Plant assets, net 306,793 287.753 260,190 S S Total assets S 581,137 500.980 421,700 Liabilities and Equity Accounts payable $147.597 S 82,972 S 54,551 Long-term notes payable 109,254 116.378 93,196 Common stock, s1e par 162,500 162.500 162.500 value Retained earnings 161.786 139.130 111,453 Total liabilities and S 5 $581,137 equity 500.980 421,700 The company's income statements for the current year and one year ago,follow For Year Ended December 31 Current Year 1 Year Ago Sales 755,478 596,166 Cost of goods sold S S 460,842 387.508 Other operating 234,198 150,830 expenses Interest expense 12,843 13,712 Income tax expense 9.821 8.942 Total costs and 717.704 560,992 expenses Net income $37,774 $35,174 Earnings per share $2.32 $2.16 (2-a) Compute debt-to-equity ratio for the current year and one year ago. (2-b) Based on debt-to-equity ratio,does the company have more or less debt in the current year versus one year ago Complete this question by entering your answers in the tabs below. Required Required 2A 28 Compute debt-to-equity ratio for the current year and one year ago Debt-To-Equity Ratio Numerator: Denominator: Debt-To-Equlty Ratio Debt-to-equity ratio 101 to:1 Current Year: 1Year Ago

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1. (2 pts each) Draw the Nyquist plot of the following transfer functions, for all frequency ranges ($-\infty < \omega < \infty$). (a) $H(s) = \frac{6}{9s+2}$, (b) $H(s) = \frac{8}{5s-4}$, (c) $H(s) = \frac{9}{7s+3}$, (d) $H(s) = \frac{5}{12s-5}$

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lauren v.