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Susan is worried about having a child because her mother's only sister (Susan's aunt) had a son with Duchenne muscular dystrophy (DMD). The aunt's partner was not affected by the disease, and no other members of Susan's family are affected. DMD is a rare X-linked recessive disorder. Calculate the probability that Susan's first son will have DMD. Question 1 options: 1/3 1/16 1/8 1/4 2/3

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The parameters of the transistor in the circuit shown below are $V_{th} = 0.9V$, $k_n = \frac{1}{2}k_n(W/L) = 0.85 mA/V^2$, and $\lambda = 0.03 V^{-1}$. Determine the small-signal voltage gain of the amplifier circuit when $I_D = 0.3 mA$, $R_D = 6.43 k\Omega$, and $R_S = 38.6 k\Omega$. Give your answer to two decimal points.

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Suppose that \vec{u} = (5, 0, 2) and \vec{v} = (2, 1, 0). Find a vector \vec{w} of magnitude 3 that is orthogonal to both \vec{u} and \vec{v}.

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4. Anterior View of the Major Muscles of INHALATION In the left-sided image below, color and label the following structures: mastoid process on skull, sternum, osseous portion of ribs, & chondral portion of ribs external intercostal mm., interchondral portion of the internal intercostal mm., & scalene mm. draw in, color and label the clavicle and sternocleidomastoid m. on one side In the right-sided image below, color and label the diaphragm m., its vertebral heads, and its central tendon.

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We want to find the total volume of the dam by revolving the cross-sectional area through 152 degrees about an appropriate axis. First, let's revolve 360 degrees, then we'll deal with the 152. Since the rotation point is 190 feet away from the nearest face of the dam, about what line should we rotate our cross-section?

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General dietary guidelines similar to those of the U.S, have been developed for many countries, and usually include which of the following concept(s)? Using foods as medicine because of their intrinsic properties Five food groups Balance and moderation Vitamin supplements Calorie restriction and physical activity

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I'm sorry, but I cannot fulfill that request.

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Let $A = \begin{bmatrix} 13 & 2 & -4 \\ 2 & 10 & -2 \\ -4 & -2 & 13 \end{bmatrix}$. Find an orthogonal matrix $P$ with rational entries and a diagonal matrix $D$ such that $D = P^T A P$. $P = \begin{bmatrix} \frac{13\sqrt{21}}{63} & -\frac{\sqrt{14}}{21} & \frac{\sqrt{6}}{9} \\\\ \frac{2\sqrt{21}}{63} & \frac{11\sqrt{14}}{42} & \frac{\sqrt{6}}{18} \\\\ -\frac{4\sqrt{21}}{63} & -\frac{\sqrt{14}}{42} & \frac{7\sqrt{6}}{18} \end{bmatrix}$, $D = \begin{bmatrix} 9 & 0 & 0 \\ 0 & 9 & 0 \\ 0 & 0 & 18 \end{bmatrix}$

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1. Construct a PDA for the language $L = \{w \in \{a, b\}^* \mid w = w^R\}$.

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5. Two electromagnetic (EM) waves, $\vec{E}_{w1}$ and $\vec{E}_{w2}$ propagating in free space coincide at a point. These waves have similar wavelength. The EM waves can be represented mathematically through their respective wave equations: For EM Wave 1: $\vec{E}_{w1} = 3cos(\vec{k}\cdot\vec{r} - \omega t)\hat{i} - 3cos(\vec{k}\cdot\vec{r} - \omega t - \frac{\pi}{2})\hat{j}$ For EM Wave 2: $\vec{E}_{w2} = 7sin(\vec{k}\cdot\vec{r} - \omega t - \frac{\pi}{2})\hat{i} + 7sin(\vec{k}\cdot\vec{r} - \omega t)\hat{j}$ (a). Express both $\vec{E}_{w1}$ and $\vec{E}_{w2}$ in complex form. [10 marks] (b). Determine the Jones vector for $\vec{E}_{w1}$ and $\vec{E}_{w2}$. [10 marks] (c). Use the determined Jones vector to describe the polarization state of $\vec{E}_{w1}$ and $\vec{E}_{w2}$. [5 marks] (d). A resultant wave, $\vec{E}_{WR}$ has emerged from the point of coincidence. 2 (i). Express $\vec{E}_{WR}$ in complex form. [10 marks] (ii). Use the determined Jones vector to describe the polarization state of $\vec{E}_{WR}$. [5 marks] (iii). Determine the angle of inclination, $\alpha$, of the polarized wave relative to the horizontal axis. [10 marks]

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lisa j.