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Consider a piston-cylinder in equilibrium as shown below. The piston is resting on a set of stops. Write a relationship between A, g, $m_w$, $P_{out}$ and $P_{sys}$. $P_{out}$ A $m_w$ $m_p = 0$ Friction = 0 $P_{sys}$ g

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Find f^(')(a). f(x)=(1)/(\sqrt(x+1)) f^(')(a)= Find $f'(a)$. $f(x) = \frac{1}{\sqrt{x} + 1}$ $f'(a) = $

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to balance a chemical equation it may be necessary to adjust

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Write the quotient in standard form.\\ \frac{3i}{(2+5i)^2}

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Consider the following example of the logical fallacy of diversion. Complete parts (b) Good grades are needed to get into college, and a college diploma is necessary for a good career. Therefore, attendance should count in high school grades. b. Briefly describe how diversion occurs in the argument. Choose the correct answer below. A. The conclusion is stated as if it were caused by the premise. B. The premise directs attention away from the conclusion. C. The conclusion is stated as if it were the only possible conclusion. D. The premise is stated as the opposite as the conclusion.

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are complexes that remove iron from transferrin for their own use. Lipases Coagulases Proteases Siderophores I DON'T KNOW YET

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Complete the sentences using the terms on the left. Labels may be used more than once or not at all . memory cells from the surface The hepatitis B vaccine contains of the hepatitis B virus.

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these values in the following table. Price Quantity Demanded Quantity Supplied 2 3 1 6 2 2 9 1 3 A price of $6 brings supply and demand into equilibrium. At the equilibrium price, consumer surplus is $ producer surplus is $ and total surplus is $ If Shen produced and Manuel consumed one less bottle of water, total surplus would If instead, Shen produced and Manuel consumed one additional bottle of water, total surplus would

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Find the cube roots of 8(cos 30° + i sin 30°). Graph each cube root as a vector in the complex plane. Choose the correct cube roots below. A. 2(cos 10° + i sin 10°), 2(cos 130° + i sin 130°), 2(cos 250° + i sin 250°) B. 8(cos 100° + i sin 100°), 8(cos 220° + i sin 220°), 8(cos 340° + i sin 340°) C. 8(cos 40° + i sin 40°), 8(cos 160° + i sin 160°), 8(cos 280° + i sin 280°) D. 2(cos 70° + i sin 70°), 2(cos 190° + i sin 190°), 2(cos 310° + i sin 310°) Choose the correct graph of the cube roots of 8(cos 30° + i sin 30°) below.

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4. (30 points) For a system with $L(s) = KG(s) = \frac{36}{s(s+3)(s+6)}$, (a) Identify the break (or corner) frequency of each individual factors of $KG(j\omega)$ and show their contribution to the frequency response on the figure on the other side of the paper. (b) What are slopes of the magnitude of the resulted plot at very low (e. g. $\omega << 0.1$ rad/s) and very high (e. g. $\omega >> 100$ rad/s) frequency? (c) The phase crossover frequency (i.e. the frequency where $\angle L(j\omega) = -180^\circ$) is 4.2426 rad/s, find the gain margin. (d) The gain crossover frequency (i.e. the frequency where $|L(j\omega)| = 0$ dB) is 1.6803 rad/s, find the phase margin.

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ricky a.