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ariana quintanilla

ariana q.

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If f(x)=(-5x^(5) 8x^(4) 3x^(3))/(x^(4)), find f^(')(x) If $f(x) = \frac{-5x^5 + 8x^4 + 3x^3}{x^4}$, find $f'(x)$

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AUBURN COMPANY Worksheet (partial) For the Month Ended April 30, 2022 Adjusted Trial Balance Account Titles Dr. Cr. Cash 10,000 Accounts Receivable 7,840 Prepaid Rent 2,280 Equipment 23,050 Accumulated Depreciation-Equip. 4,900 Notes Payable 5,700 Accounts Payable 4,920 Owner's Capital 27,960 Owner's Drawings 3,650 Service Revenue 15,590 Salaries and Wages Expense 10,840 Rent Expense 760 Depreciation Expense 650 Interest Expense 57 Interest Payable 57 Totals 59,127 59,127

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QUESTION 17 Explain why the nucleus is the control center of the cell. (pp. 50-51)

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Which organs or structures are part of the digestive system? - Esophagus - Spleen - Stomach - Teeth - Tonsils

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1. Conditional Independence: Consider three binary variables \( x, y \), and \( z \) with joint distribution as shown in Table 1. (a) Evaluate the distributions \( p(x), p(z \mid x) \) and \( p(y \mid z) \) (b) Show that \( x \) and \( y \) are marginally dependent, but they become independent when conditioned on \( z \). (c) Numerically, show that \( p(x, y, z)=p(x) p(y \mid z) p(z \mid x) \) and draw the corresponding directed graph. Table 1: Joint distribution for \( X, Y, Z \) \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline\( x \) & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 \\ \hline\( y \) & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 \\ \hline\( z \) & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 \\ \hline\( p(x, y, z) \) & 0.192 & 0.144 & 0.048 & 0.216 & 0.192 & 0.064 & 0.048 & 0.096 \\ \hline \end{tabular}

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Rewrite the rational expression so it has the given denominator: (4x)/(x+2), D = x^2 - 7x - 18

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9. Let $Z_L = 30 - j700\Omega$, $Z_0 = 500\Omega$, $f = 800\text{ MHz}$, and $v_p = c$ in a lossless TL system. Find the shortest distance $d$ from the load and the length $l$ of a short-circuited stub to provide a perfect match on the line to the left of the stub. Show all work clearly on this page. Draw all the labelled plots on a Smith Chart. Points: 15

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2) For the following circuit, determine the current through and power dissipated in each resistor. Resistor Current Power 120 ? 65 ? 212 ? 150 ? 48 ? 330 ?

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Q1: Obtain the closed loop transfer function for the system whose block diagram is shown in fig.(1) \frac{2}{s+2} 3 \frac{1}{s+2} Y(s) 2 \frac{1}{s+2} \frac{1}{s+2} Fig. (1)

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Problem 5: The joint pdf of wwo random variables X and Y is $f_{XY}(x, y) = \begin{cases} cx y, & 0 < x < 1, 0 < y < 1, x^2 < y \\ 0, & \text{otherwise.} \end{cases}$ (a) Determine c (b) Determine the marginal pdf $f_X(x)$ (c) Determine conditional pdf of Y given X, i.e, $f_{Y|X}(x, y)$ (d) Determine $P(Y < 0.5|X = 0.5)$ (e) Determine the integral formula (without proper limit) for computing $P(X < 0.5, Y < 0.5)$ (No need to compute the result of the integral formula) (f) Determine the correlation coefficient $\rho_{XY}$

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