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Two isolated superconducting circuits carry certain currents when placed so that their mutual inductances are zero. They then move until their mutual inductance equals M. If the circuits are identical and have the same initial currents I_0, find the final currents I.

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Under the Paris Agreement Australia has agreed to the following reduction of greenhouse gas emission in Carbon Dioxide equivalents: a. A 26% to 28% reduction on 2005 levels by 2030. b. A 26% to 28% reduction on 1990 levels by 2030. c. A 30% reduction on 2005 levels by 2050. d. No increase in greenhouse gas emissions. e. A 26% to 28% reduction on 1990 levels by 2050.

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4- Express the given matrix $A = \begin{bmatrix} 1 & -1 & 1 \ 3 & -4 & 2 \ 2 & -3 & -2 \end{bmatrix}$ in LDU form.

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Compound A reacts with Compound B to form only one product, Compound C, and it's known the usual percent yield of C in this reaction is 65%. Suppose 5.5 g of A are reacted with excess Compound B, and 9.1 g of Compound C are successfully isolated at the end of the reaction. What was the theoretical yield of C? Round your answer to the nearest 0.1 g. How much B was consumed by the reaction? Round your answer to the nearest 0.1 g.

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Texts: The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 281, SSA = 27, SSB = 21, SSAB = 178. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use α = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. Because the p-value > α = 0.05, factor A is significant. Because the p-value = α = 0.05, factor A is significant. Because the p-value > α = 0.05, factor A is not significant. Because the p-value = α = 0.05, factor A is not significant. Find the value of the test statistic for factor B. (Round your answer to two decimal places.) Find the p-value for factor B. (Round your answer to three decimal places.) p-value = State your conclusion about factor B. Because the p-value = α = 0.05, factor B is not significant. Because the p-value = α = 0.05, factor B is significant. Because the p-value > α = 0.05, factor B is not significant. Because the p-value > α = 0.05, factor B is significant. Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.) Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.) p-value = State your conclusion about the interaction between factors A and B. Because the p-value = α = 0.05, the interaction between factors A and B is significant. Because the p-value = α = 0.05, the interaction between factors A and B is not significant. Because the p-value > α = 0.05, the interaction between factors A and B is not significant. Because the p-value > α = 0.05, the interaction between factors A and B is significant.

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15. The cascaded amplifier arrangement shown below has the following voltage gains: AV1 = 9, AV2 = 34dB, and AV3 = 3 dB. What is the total voltage gain AV(Total)? (note: Gains in dB and as numbers mixed together is not a mistake) Answer should be a number not in Decibels. Input Av1 A. 600.78 B. 650.89 C. 636.02 D. None of the above Av2 Av3 Output

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4. Using Uterus Figure below, identify the structure A thru F:

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3. Consider a system given by $\dot{x} = \begin{bmatrix} -1 & 10 \\ 0 & 1 \end{bmatrix} x + \begin{bmatrix} -2 \\ 0 \end{bmatrix} u$ y = $\begin{bmatrix} -2 & 3 \end{bmatrix} x - 2u$ The equilibrium point of the system is $\begin{bmatrix} 0 \\ 0 \end{bmatrix}$ a. Determine if the system is stable in the sense of Lyapunov around the equilibrium point. c. Determine if the system is asymptotically stable around the equilibrium point. d. Determine if the system is BIBO stable. (Hint: To solve question d, you need to find the transfer function $\frac{Y(s)}{U(s)} = C(sI - A)^{-1}B + D)$

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5. The discrete time function x[n] is given below. \begin{equation*} x[n] = \begin{cases} 1, & n = -1, \\ -3, & n = 0, \\ 3, & n = 1, \\ -1, & n = 2, \\ 0, & \text{else.} \end{cases} \end{equation*} a. Determine the z-transform of the signal x[n]. b. Sketch the ROC, poles and zeros for X(z) in the z-plane. c. Use the z transform to determine the DTFT of x[n].

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Daisy Co. is considering disposing of a machine with a book value of $20,300 and estimated remaining life of five years. The old machine can be sold for $5,600. A new high-speed machine can be purchased at a cost of 73,400. It will have a useful life of five years and no residual value. It is estimated that the annual variable manufacturing costs will be reduced from $23,500 to $20,300 if the new machine is purchased. The differential effect on income for the new machine for the entire five years is increase of $67,340 decrease of $67,340 decrease of $51,800 increase of $51,800

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