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TB TF Qu. 8-19 (Static) The primary reason most companies... The primary reason most companies choose LIFO is to reduce tax payments. True or False True False

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A vertical rope is attached to the ceiling of a gymnasium. A person of mass 124 kg is descending down the rope with an acceleration of 4.2 m/s². Assuming the weight of the rope is negligible, what is the tension in the rope at this moment? $T = $ \text{N} Hint: The answer is NOT the weight of the person! To sort this out, draw a FBD for the person, and then use $F_{net} = ma$.

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Without knowning what the gragh of the isocost and isoquant line look like, you can be assured of making an optimal decision if

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6) The random binary data signal g(t) is a random baseband rectangular pulse train. Each binary digit uses a rectangular pulse of duration 0.5$T_b$ in a bit interval of $T_b$. (a) Use MATLAB/Python to generate such a binary signal for $N_a = 4000$ random binary digits {$a_k = \pm1$} of equal likelihood. (b) Calculate the time-autocorrelation function $R_g(\tau)$ and show that $R_g(\tau)$ is the triangle function. Use MATLAB/Python to generate $R_g(\tau)$. (c) Calculate $S_g(\tau)$, the PSD of g(t), and average power, and show that it is identical to the theory. Use MATLAB/Python to generate $S_g(\tau)$, PSD of g(t).

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7. [14, 3 points] Determine the intersection of the line $ \vec{r} = \begin{bmatrix} 1-t \ -1-t \ 2t \end{bmatrix} $ and the plane $-x + 2y - z + 2 = 0$.

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Previous Problem Problem List Next Problem In the applet above, the horizontal axis, labeled q, represents the number of weekly cabins rentals at Cook Forest State Park. The vertical axis, labeled p, represents the price to rent a cabin for a week. The blue graph gives information about the demand for these weekly cabin rentals, while the red graph gives data for the supply of the weekly cabin rentals. The input box labeled q will allow you to enter a number of weekly cabin rentals to obtain information about demand and supply using points A and B. Recall that a market is in equilibrium when supply equals demand. This is represented graphically by point E = (Q,p) in the applet. (a) Find the equilibrium point (Q, p) and use it to complete the sentences below. Make sure you use an ordered pair for the equilibrium point. Since the equilibrium point is the cabin rental market is in equilibrium when the weekly rental price is $ At this price, there will be cabins demanded and supplied. This means that the revenue generated from cabin rentals when the market is in equilibrium will be $ (b) A market will be in surplus when the market price (that is, the supply price) is above the equilibrium price since the quantity supplied will exceed the quantity demanded at those prices. Find the quantities of cabins supplied for which this market will be in surplus. Write your answer in interval notation. This market will be in surplus when the number of weekly cabin rentals is in the interval on the q-axis. (c) A market will be in shortage when the market price (this is, the supply price) is below the equilibrium price since the quantity supplied will be less than the quantity demanded at that price. Find the quantities of cabins supplied for which this market will be in surplus. Write your answer in interval notation. This market will be in shortage when the number of weekly cabin rentals is in the interval on the q-axis. (d) Type q = 64 into the input box in the applet. Use points A and B to complete the following sentences. When the weekly rental price is $ there will be cabins demanded. Cook Forest is willing to supply cabins at a price of $ market price the number of cabins will be in ??? since this price is ??? the equilibrium price. At this

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Instead of price competition, suppose they engage in Cournot quantity competition. What resulting in equilibrium price? Peter has difficulties getting his bottling equipment to a remote island, giving David first mover advantage. How much is each producing and what is the resulting equilibrium price?

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Part A Review | Constants Parallel rays of monochromatic light with wavelength 590 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is $3.00 \times 10^{-4} \text{ W/m}^2$, what is the intensity at a point on the screen that is 0.820 mm from the center of the central maximum? Express your answer with the appropriate units. $I = 3.79 \cdot 10^{-7} \frac{W}{m^2}$

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Let $B = \{b_1, b_2\}$, $C = \{c_1, c_2\}$, be bases for $\mathbb{R}^2$ $b_1 = (-1, 2)$, $b_2 = (1, -1)$, $c_1 = (1, 2)$, $c_2 = (1, 1)$ Find the change-of-coordinates matrix from B to C....... a. $P_{C \leftarrow B} = \begin{bmatrix} -1 & 1\\ 2 & -1 \end{bmatrix}$ b. $P_{C \leftarrow B} = \begin{bmatrix} 3 & -2\\ -4 & 3 \end{bmatrix}$ c. $P_{C \leftarrow B} = \begin{bmatrix} 1 & 1\\ 2 & 1 \end{bmatrix}$ d. $P_{C \leftarrow B} = \begin{bmatrix} 3 & 2\\ 4 & 3 \end{bmatrix}$

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6. Suppose that the President of the United States has asked you to analyze government spending and revenue trends over the last 18 years. Use the table below to answer the questions that follow. [5] Please copy the table below onto your sheet of paper. Make sure to leave extra space for each line item calculation. $ Billions Items 2000 2018 Growth Expenditures Defense $ 294 $ 631 International $ 17 $ 49 Entitlement Programs $1,015 $2,623 Net Interest S 223 $ 325 Other $ 240 $ 481 Total Expenditures $1,789 $4,109 Revenues Individual Income Tax $1,005 $1,684 Corporation Income Tax $ 207 $ 205 Social Insurance $ 653 $1,171 Other $ 161 271 Total Revenues $2,025 $3,330 % of GDP 2000 2018 2.9% 0.2% 9.9% 2.2% 2.3% 17.4% 9.8% 2.0% 6.4% 1.6% 19.8% a. Using the basic growth rate formula ((new -- old) / old) calculate the growth rate for each of the line items (including totals). b. Which expenditures and revenues grew the most over the period? c. Note that we did not account for the effects of inflation or population growth. Why might these be important to account for in the calculation? d. Given that nominal GDP was $20,580 billion in 2018, calculate the share of GDP for each of the line items ( including totals) e. Make 2-3 observations pertaining to your calculations from part d f. Suppose the President tells you he is concerned about the pace of international spending Should he be concerned? Justify your answer using your calculations from part d.

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kenneth c.