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soledad holland

soledad h.

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A vertical force of $F = 3.7$ kN is applied to the hook at $A$ as shown in (Figure 1). Set $d = 1$ m. figure 1 of 1 Part A Determine the tension in cable $AB$ for equilibrium. Express your answer to three significant figures and include the appropriate units. $F_{AB} =$

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\int^(Evaluate the integral by making the given substitution. (Use C for the constant of integration) \int xe^(-x^(2))dx, u=-x^(2)

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6. 18. Suppose X and Y are both integer-valued random variables. Let $$p(i|j) = P(X = i|Y = j)$$ and $$q(j | i) = P(Y = j |X = i)$$ Show that $$P(X = i, Y = j) = \frac{p(i|j)}{\sum_i \frac{p(i|j)}{q(j|i)}}$$

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Lateral branches grow from the petiole. node. internode. apical bud. axillary bud.

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Sketch the graph of the equation. y = 4 - x^2 Identify any intercepts. y-intercept (x, y) = x-intercepts (x, y) = (smaller x-value) (x, y) = (larger x-value) Test for symmetry. (Select all that apply.) ? The equation is symmetric with respect to the x-axis. ? The equation is symmetric with respect to the y-axis. ? The equation is symmetric with respect to the origin. ? The equation has no symmetry.

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Lab_data.xlsx contains the experimental drag force data for three different aerofoils- flat plate, symmetric and cambered. The drag co-efficient ($C_D$) can be calculated from the following equation, $C_D = \frac{2F_D}{\rho v^2 S}$ Here, $F_D$ (N) is the drag force, $\rho$ ($kgm^{-3}$) is the air density, $v$ ($ms^{-1}$) is the air velocity and S($m^2$) is the reference area. Assume that $\rho = 1.205 kgm^{-3}$, $v = 25 ms^{-1}$ and $S = 0.02011 m^2$. (a) Import the data from the \"Lab_data.xlsx\" in a MATLAB script. Assign different variables for each aerofoil. (b) Create a function named, \"drag_calc\" that accepts $F_D$, $\rho$, $v$ and $S$ as input arguments and computes the $C_D$ value. An example of the function header can be, function Cd = drag_calc(Fd, rho, V, S). (c) Call the function in your MATLAB script to calculate the co-efficient ($C_D$) for all aerofoils. Plot the $C_D$ values for all aerofoils against the angle of attack ($\alpha$) in the same figure. Use different colour symbols for each aerofoil to identify the trend of the drag-coefficients. Include figure title, axis-labels, and appropriate legends. (d) Calculate the minimum drag force and the corresponding angle of attack for all aerofoils using MATLAB in-built min() function. (e) Print the minimum drag co-efficient $C_D$ for each aerofoil and the corresponding angle of attack ($\alpha$) values by using fprintf().

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Current Year-End Balance Sheets Sied Zip Company Company $11,900 $20,000 Cash. $7,700 $3,200 Accounts receivable, net. $42,000 $64,000 Inventory. $58,800 $87,680 Prepaid expenses. $1,680 $3,520 Plant and equipment, net. Total assets: $232,120 $274,400 Current liabilities Mortgage payable Common stock, $10 par value. Retained earnings. Total liabilities and stockholders' equity. $56,000 $70,000 $140,000 $88,200 Total liabilities and stockholders' equity: $354,200 $80,000 $80,000 $160,000 $132,800 Total liabilities and stockholders' equity: $452,800 Beginning-of-Year Data Inventory Total assets Stockholders' equity. $53,200 $345,800 $217,000 $85,120 $443,200 $285,120 Data from the Current Year's Income Statement Sales: $672,000 Cost of goods sold: $528,080 Interest expense: $4,200 Net income: $23,373 $880,000 $699,840 $5,600 $28,896 Required: 1. Calculate current ratios, acid-test ratios, inventory turnovers, and days' sales uncollected for the two companies. Then state which company you think is the better short-term credit risk and why. 2. Calculate return on total assets employed and return on stockholders' equity. Then, under the assumption that each company's stock can be purchased at book value, state which company's stock you think is the better investment and why.

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At what frequency (in MHz) would the value of $V_1$ be at a minimum? Note: This is a voltage source. Hint: find the impedance of the LC pair need to be to minimize voltage drop across the 100? load. $cos(2\pi ft)$ 20uH + $V_1$ 100? 560pF 3 3.5 1 5 2.5 2 None of these options 4 1.5

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QUESTION 5 Given the sine function: 35sin(314 - \frac{\pi}{2}) find a) the amplitude, b) the period and c) the phase shift - in seconds to 3 decimal places. Answer format: a,b,c - do not put units. QUESTION 6 Divide and simplify (5 - j3) \div (2 + j). Give your answer in the same form. QUESTION 7 The following numbers were collected as a sample: 23, 33, 25, 20, 27, 18, 28, 33, 25, 38, 28, 20, 23, 21. Find the a) Median b) Mean of these numbers to three significant digits. c) How many Modes are there? Answer format: a,b,c QUESTION 8 The bending moment M of a simply supported beam of length L with a uniform load of w kg/m at a distance x from the end is M = \frac{1}{2} wLx - \frac{1}{2} wx^2. For what values of x is M = 0? Answer format: a,b - no spaces please.

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What is the capacity factor of a wind turbine? The average power of a wind turbine normalized by the rated power. The percentage of a year that a wind turbine is down for repairs. The amount of traditional dispatchable generation that can be replaced by variable generation while maintaining the same security of supply. The instantaneous fraction of available resource being converted. The amount of energy produced over the lifetime of the turbine.

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