Numerade

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$i_L$ 6 H 6$\Omega$ 2$\Omega$ $v_C$ 4 F QUESTIONS 1. Determine $V_C$, $i_L$ and the energy stored in the capacitor and inductor in the circuit of figure below under dc conditions.

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Evaluating and Solving Quadratic Functions A company's revenue earned from selling x items is given by the function $R(x) = 9x$, and their cost is given by the function $C(x) = x^2 + 18$. Use this function to answer the following questions. Write a function, $P(x)$, that represents the company's profit from selling x items. $P(x) = $ Rewrite the function as a Quadratic Equation by setting $P(x) = 0$: Solve the Quadratic Equation to find the minimum and maximum number of units that can be sold that will result in the company breaking even. The company must sell at least units to break even. The company can sell at most units and still break even.

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Let $\rho$ and $\sigma$ be metrics on a set $X$. Show that each of the following are also metrics on $X$. i. $2\rho$ ii. $\rho + \sigma$ iii. $\max\{\rho, \sigma\}$.

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the potential difference across R1 is equal to the potential difference of R2

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1) The House of the Spirits is categorized as "magical realism," wherein everyday "real" situations and plots are peppered with surreal, dreamlike, and fantasy elements. This type of literature is usually associated with Latin American writers, Allende being a prominent example. Discuss at least one specific instance (a specific scene, plot device, and/or quote) where the text incorporates "magical realism" and how these supernatural elements add to the story.

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Select the characteristics that are common to all muscle tissues.

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169 169. Average total cost is very high when a small amount of output is produced because a. average variable cost is high. b. average fixed cost is high. c. marginal cost is high. d. marginal product is high.

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4. In natural experiments and empirically collected data we often speak of \"selection-effects.\" What are these selection effects? How can they affect causalities in observed outcomes? Specify how one can minimize such selection effects in an experimental design. You can use an example. [20 marks]

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True or false: In the Hassell et al. paper, the term "interface" means a boundary where parasites/disease can be passed between biological communities. Group of answer choices True False

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Determine the Fourier transform for the following signals: 7. (i) x(t) = \delta(t) - 5e^{-2t}u(t) + 5e^{4t}u(-t) Ans:x(w) = 1 - \frac{5}{jw+2} + 5(\frac{1}{-jw+4}) (ii) y(t) = \delta(t + 4) + \delta(t - 4) Ans: y(w) = 2 \cos 4w (iii) z(t) = 5e^{-5(t-1)}u(t-1) Ans: z(w) = \frac{1}{5+jw}e^{-jw}

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lauren s.