Numerade

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(15)(3 points) Which of the following pairs of nuclei would you expect to be radioactive? (a) $^{28}P$ or $^{31}P$ (b) $^{63}Zn$ or $^{59}Zn$ (c) $^{120}I$ or $^{134}I$

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The IMF lends money to nations experiencing financial crisis in return for Multiple choice question. changes in their financial leadership. macroeconomic policy implementation. commitment to help other nations in similar straits. repayment with interest.

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Classify each chemical compound listed in the table below. \begin{tabular}{|c|c|c|c|c|} \hline \multirow{2}{*}{ compound } & \multicolumn{4}{|c|}{ type of compound (check all that apply) } \\ \hline & ionic & molecular & acid & base \\ \hline $ \mathrm{HClO}_{4} $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline $ \mathrm{H}_{3} \mathrm{PO}_{3} $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline $ \mathrm{NaOH} $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline $ \mathrm{KClO}_{4} $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline \end{tabular}

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Acceleration a(t) Charge q(t) Hbag(s) Hamp(s) Voltage v(t) Figure 3: Block diagram of an airbag sensor Figure 4: Magnitude of Gamp (W) 3. Let us consider an airbag sensor whose block diagram is shown in Fig. 3. The airbag sensor consists of a piezoelectric accelerometer and a charge amplifier. The accelerometer, which converts acceleration to charge, has transfer function Hbag(s) in the form of a second-order system as follows. Hbag(s) = p. (2000π)2 s2 + (4π) s + (2000π)2 (4) where p is a constant parameters. Moreover, the units are in MKS and no conversion is needed. Answering the following questions. (a) What is the frequency response function Gbag(w) of the accelerometer? (b) What are the natural frequency wn and viscous damping factor of the accelerometer? [Hint: In MKS, the unit of wn is rad/s. You will need to divide it by 27 to obtain Hz.] (c) Now let us focus on the magnitude | Gbag(w). What is the asymptotic value of Gbag (w)| when w wn? What is the asymptotic value of Gbag(w) when w wn? What is Gbag(w) when w = wn? Based on the information above, sketch the Bode plot of the magnitude Gbag(w)|. (d) The transfer function Hamp(s) of the charge amplifier is unknown, but its frequency response function Gamp(w) is graphed in Fig. 4 (magnitude only). Specifically, Gamp(w) = increase with 100 dB/decade, w < 0.5 Hz constant at 0 dB, 0.5 Hz < decrease with 40 dB/decade, ω > 33 kHz 33 kHz (5) Plot the magnitude of the frequency response function of the entire system (i.e., Gbag(w)| and Gamp (w) combined).

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Math 350 Assignment 4 1. Find the general solution of the homogeneous equation $t^2y' = yt + y\sqrt{t^2 + y^2}$. 2. Find the general solution of the Bernoulli equation $2ty' = y^2 + t - 1$.

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$\theta = s(\frac{3}{4} - \frac{1}{8} - \frac{3}{4} - \frac{1}{28} + \frac{3}{10}) = 0.139 \delta\\ \tau_w = \varphi \upsilon_o^2 \frac{d\theta}{dx}\\ \delta = 4.64 \sqrt{\frac{2\gamma x}{\upsilon_o}}\\ \mu \frac{3}{2} \frac{\upsilon_o}{s} = \rho \upsilon_o^2 \cdot 0.139 \frac{d\delta}{dx}\\ \delta d\delta = \frac{3}{2(0.139)} \upsilon_o^2 \frac{d\gamma}{dx}\\ \frac{\delta^2}{2} = \frac{3}{2(0.139)} \frac{\gamma x}{\upsilon_o} + c$

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The tangent line to the curve $y = \frac{1}{3}x^3 - 4x^2 + 17x + 2$ is parallel to the line $10x - 5y = 4$ at two points on the curve. Find the two points.

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This assignment asks you for your perspective on this quote by providing examples from industry. Please respond to the following statements using examples from diverse industries: 1. All wealth is traced back to Natural Capital (“the soil”) and human capital (“the worker”). - If you agree with this statement, state why with detailed examples. - If you do not agree, explain why using detailed examples.

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FIGURE P6.10 $P_i$ $D = 1 \text{ cm}$ $R_F = 10^{10} \Omega$ $(0)$ $V_o$ EOA + 6.10 In the circuit of Figure P6.10, a disk pyroelectric sensor is used to sense changes in LIR radiation. The exposed area is 1 cm in diameter, its thickness is $h = 25.46 \text{ µm}$, its pyroelectric coefficient $K_p = 25 \text{ µCb}/(\text{m}^2 \text{ K})$, its specific heat is $c = 2.5 \times 10^6 \text{ J}/(\text{m}^3 \text{ K})$, its thermal resistance is $\Phi = 20 \text{ K/W}$, and 50% of the incident IR radiation is absorbed by the sensor and 50% is reflected away: A. Calculate the time constant of the sensor. B. Assume a step input of LIR power to the sensor. What input power is required to produce a peak output voltage of 100 mV? C. Sketch and dimension $v_o(t)$, given the step input of (B).

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Let A be a 2 \times 2 matrix which satisfies $Av_1 = 2v_1$ and $Av_2 = v_2$ where $v_1 = \begin{bmatrix} 3\\1 \end{bmatrix}$ and $v_2 = \begin{bmatrix} 1\\0 \end{bmatrix}$. If $x = \begin{bmatrix} 3\\4 \end{bmatrix}$, compute 1$^{th}$ row and 1$^{th}$ column entry of $A^3x$.

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irene c.