Numerade

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2)A 440/220 volts autotransformer delivers a load of 10-kW at 0.866 power factor. Calculate a) the current in each winding of the autotransformer; b) the power transformed; c) power conducted

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We studied the ODEs for the Pendulum and the simple spring. A similar system is called the Van der Pol oscillator given by $\ddot{y} - \mu(1 - y^2)\dot{y} + y = 0$ It's used for a variety of models, but most famously for the electrical potential of a firing Neuron. (a) (10 points) Write this second order ODE and as a first order system of ODEs. (b) (20 points) Code up the 2nd order Runge-Kutta Method represented by the tableau in problem 1 with $b_2 = 3/4$ and solve the system derived above with the initial conditions $\dot{y}(0) = 0, y(0) = 0$ and $\mu = 1$, for $t = 0$ to $t = 10$ with 1000 time points, i.e. $\Delta t = 0.01$. Submit your code and have it produce a plot of your solution with the $y(t)$ on the x-axis and $\dot{y}(t)$ on the y-axis as functions of time t.

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Please match the number of bones with each spinal segment. Cervical spine, thoracic spine, lumbar spine

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From the list below, select a reason that would bring about project starvation. a. A key resource quits. b. The customer cancels or curtails the order. c. All of the above d. Other projects come about that take precedence. e. There is a reduction to the project budget.

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Frequently, important DNA regions with specific functions tend to contain short stretches of nucleotides that are conserved across different organisms (e.g., promoter sequence) and are recognized by specific proteins. What are these conserved sequences called? repetitive sequences initiators codons critical elements consensus sequences

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An employee downloads product inquiries from the company's website nightly and saves the data as a comma-delimited file in Microsoft Teams. You need to make the product inquiry data available from within a model-driven app. The product inquiry data will be maintained in the model-driven app. What should you recommend? Select only one answer. Virtual entity Custom connection Power Automate flow Azure Service Bus

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Does the series $\sum_{n=1}^{\infty} (-1)^{n+1}\frac{n!}{6^n}$ converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series diverges because it is a geometric series with r = B. The series converges conditionally per the Alternating Series Test and because it is a p-series with p = C. The series converges conditionally per the Alternating Series Test and the Direct Comparison Test with $\sum_{n=1}^{\infty} \frac{1}{6^{n-1}}$ D. The series converges absolutely per the Direct Comparison Test with $\sum_{n=1}^{\infty} \frac{1}{6^{n-1}}$ E. The series converges absolutely because it is a p-series with p = F. The series diverges because the limit found using the Ratio Test is >1.

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The matrix $M = \begin{bmatrix} 5 & 0 & 0 & 3 \\ 0 & 5 & 3 & 0 \\ 0 & 3 & 5 & 0 \\ 3 & 0 & 0 & 5 \end{bmatrix}$ has two distinct eigenvalues $\lambda_1 < \lambda_2$. Find the eigenvalues and an orthonormal basis for each eigenspace. $\lambda_1 = 2$ Orthonormal basis of eigenspace: $\lambda_2 = 8$, Orthonormal basis of eigenspace: To enter a basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is $\begin{Bmatrix} \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \end{Bmatrix}$, then you would enter [1,2,3], [1,1,1] into the answer blank.

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Trace the flow of air from the external environment (first) to the sites of gas exchange with the blood (last). 1 [Choose] 2 [Choose] 3 [Choose] 4 [Choose] 5 [Choose] 6 [Choose] 7 [Choose] 8 [Choose]

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3. (20 points) Consider following game between 2 players. Player 2 Right Left Up 5, 3 4, 4 Player 1 Down 8, 2 3, 1 a. Find all Nash equilibria (in pure and mixed strategies). Clearly show your mathematical derivations of mixed strategy Nash equilibrium profile. b. Derive the best-responses of the players. c. Draw the graphs of best response functions of the players. Do not forget to label the graphs (axis and BRFs).

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marc c.