Numerade

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A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 × 107 m. The mass of the planet is M = 2.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.

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When should a firm continue expanding capacity? Group of answer choices When short-run marginal cost exceeds short-run marginal revenue. When long-run marginal cost exceeds long-run marginal revenue. As long as long-run marginal revenue exceeds long-run marginal cost. When short-run marginal revenue exceeds short-run marginal cost.

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Arrange the following in decreasing order of their nucleophilicity. $CH_3CH_2CH_2Li$, $CF_3CH_2CH_2O^-$, $CH_3CH_2CH_2O^-$, $CH_3CH_2CH_2S^-$ $CF_3CH_2CH_2O^- > CH_3CH_2CH_2O^- > CH_3CH_2CH_2S^- > CH_3CH_2CH_2Li$ $CH_3CH_2CH_2S^- > CH_3CH_2CH_2O^- > CF_3CH_2CH_2O^- > CH_3CH_2CH_2Li$ $CH_3CH_2CH_2Li > CH_3CH_2CH_2S^- > CH_3CH_2CH_2O^- > CF_3CH_2CH_2O^-$ $CH_3CH_2CH_2Li > CF_3CH_2CH_2O^- > CH_3CH_2CH_2O^- > CH_3CH_2CH_2S^-$

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2. A. "Symmetry in construction of two halves of differential amplifier is emphasized." Give reasons for the above statement. (2 Marks) B. Estimate dc emitter current in each transistor of differential amplifier shown in figure below. How much is dc voltage from each collector to ground? How much is $V_{out}$? (3 Marks) +12V $R_C$ 16k $R_C$ 16k $V_{out}$ $V_1$ $V_{CE1}$ $V_{CE2}$ $V_2$ $I_T$ $R_E$ 24k -12V Fig. 2 Page 1 of 3

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Consider the following matrix. \begin{equation*} A = \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix} \end{equation*} Suppose that $det(A) = -2$. Let $B$ be another $3 \times 3$ matrix (not given here) with $det(B) = 2$. Find the determinant of each of the following matrices. (a) \begin{equation*} C = \begin{bmatrix} a+2g & -g & 2d \\ b+2h & -h & 2e \\ c+2i & -i & 2f \end{bmatrix} \end{equation*} (b) $D = 2A^{-1}B^T$ (c) $E = -BA^3$ (d) $F = adj(B)$

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5-6 Find parametric equations for the line whose vector equation is given. 5. (a) $(x, y) = (2, -3) + t(1, -4)$ (b) $xi + yj + zk = k + t(i - j + k)$

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340. $ y^{\prime}+2 y=y^{2} e^{x} $.

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A population of values has a normal distribution with $ \mu=121 $ and $ \sigma=95.3 $. You intend to draw a random sample of size $ n=19 $. Find the probability that a single randomly selected value is less than 62. \[ P(X<62)= \] $ \square $ Find the probability that a sample of size $ n=19 $ is randomly selected with a mean less than 62. \[ P(M<62)= \] $ \square $ Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact $ z $ scores or $ z $-scores rounded to 3 decimal places are accepted.

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Although name recognition may determine a voter's choice on Election Day, campaigns still need to get people to actually vote through mobilization.

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Which of the following is NOT a necessary feature of psychotherapy? behavior, thoughts, and feelings psychotropic intervention systematic interaction psychological principles

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calvin a.