Numerade

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Write the system of linear equations that is represented by the following augmented matrix. Assume that the variables are $x_1$, $x_2$, ... $$ \begin{bmatrix} 5 & -4 & 0 & | & 4 \\ 0 & 7 & -3 & | & 1 \\ -2 & 0 & 4 & | & 3 \end{bmatrix} $$ What equation corresponds to the first row of the matrix? (Type your answer in standard form.)

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Q 1: Find f^(')(x) if f(x)=sech^(-1)x^(2) Q1: Find $f'(x)$ if $f(x) = \text{sech}^{-1} x^2$

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A guideline is mandatory for all users to follow. True False

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Yacef suddenly finds himself newly married and out of school with a new job. Yacef is experiencing reflective judgment. possible selves. fluid intelligence. role transition.

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If $e^{6x} = 17$, then $x = $

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Section 3.1 Homogeneous Constant Coefficients: Problem 4 (1 point) Find the solution to the boundary value problem: $\frac{d^2y}{dt^2} - 6\frac{dy}{dt} + 5y = 0$, $y(0) = 3, y(1) = 3$ y = ?

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PCl$_3$ (g) + Cl$_2$ (g) $\rightleftharpoons$ PCl$_5$ (g) If K$_c$ for the above reaction is 0.013 M$^{-1}$ at 350 $^\circ$C, what is K$_p$ (in atm$^{-1}$) for this reaction? 0.665 0.013 2.54 x 10$^{-4}$ Question 11 PCl$_3$ (g) + Cl$_2$ (g) $\rightleftharpoons$ PCl$_5$ (g) 2 pts If K$_p$ for the above reaction is 0.0260 atm$^{-1}$ at 350 $^\circ$C, what is K$_c$ (in M$^{-1}$) for this reaction?

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Given the following momentum vectors and their resultant vector, determine the missing components (Bx, Cy, and A). A = +10 kgm/sx + -8 kgm/sy + A2 B = Bx + 2 kgm/s + 5 kgm/s^2 C = -5 kgm/s + Cy + -4 kgm/s^2 And the resultant vector R = A + B + C R = 6 kgm/s + -5 kgm/s + -2 kgm/s^2 The momentum p of an object is equal to p = mv, where m is the mass of the object and v is its velocity. If a car has a momentum and velocity given below, determine the mass of the car using two methods: 1) using the dot product and 2) using the magnitude of the vectors. p = -35,238 kgm/s + 12,826 kgm/sy v = -23.5 m/sx + 8.56 m/sy What is the magnitude of vector given that vector = axb? = 2ax + -3ay b = 3b + 4by

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+ 1 R(s)?Gc(s)?s(s+2)(s+5)?C(s) Figure 11.39 a) Assume the compensator is a simple proportional controller K, obtain all pertinent pints for root locus and draw the root-locus. Determine the location of the dominant poles to have critically damped response, and find the time constant corresponding to this location. Also determine the value of K and the corresponding time constant for dominant poles damping ratio of 0.707. Obtain the compensated system step response. b) $G_c(s)$ is a PD compensator. Design the compensator for the following time-domain specifications:

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Q4. (15 points) According the new classical investment mode we have, \textbullet MPK = \frac{P_k}{P}(r + \delta) a) What does the above equation mean? Explain it. (2 points) b) Derive the above equation. (3 points) c) Suppose Y = K^{0.5}L^{0.5}, L=100, P_k = P = 1, r = 0.1, and \delta = 0.1. What is the optimal level of capital in the steady-state (K*)? (5 points) d) Now assume that the price of the products increases to p=2. Without using any math or any model, do you think it's better to increase investment (i.e. buy more capital) Use your judgment. (2 points) e) How do you justify your answer in part c using the new classical investment model that is described above? (3 points)

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david m.