Numerade

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Suppose Lucia earns $825 per week working as a math tutor for A-Plus Tutoring. She uses $10 to have a drink at Barry’s Bar. Barry’s Bar pays Kenji $300 per week to work as a bartender. Kenji uses $125 to purchase tutoring services from A-Plus Tutoring. Identify whether each of the following events in this scenario occurs in the factor market or the product market. Event Factor Market Product Market Kenji earns $300 per week working for Barry’s Bar. Kenji spends $125 to purchase tutoring services from A-Plus Tutoring. Lucia earns $825 per week working for A-Plus Tutoring.

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When Thomas Jefferson was President he A. sent several men to jail for sedition B. got the whiskey excise tax repealed C. traveled to Russia for the first summit conference D. increased the national debt by half

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What is the smallest number that can be expressed as the sum of two squares in two different ways? (You may use one square twice.)

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7. Find the magnitude of the acceleration of the object, if an object moves with a constant speed of 6 m/s around a circular track with a radius of 18 cm. Ans: 50m/s²

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8. Consider an almost degenerate Fermi gas of electrons with spin degeneracy $g_s = 2$. At high temperatures, show that the equation of state is given by $pV = Nk_BT \left( 1 + \frac{\lambda^3 N}{4\sqrt{2}g_s V} + ... \right)$ At low temperatures, show that the chemical potential is $\mu = E_F \left( 1 - \frac{\pi^2}{12} \left( \frac{k_B T}{E_F} \right)^2 + ... \right)$ and the average energy is $E = \frac{3}{5} N E_F \left( 1 + \frac{5\pi^2}{12} \left( \frac{k_B T}{E_F} \right)^2 + ... \right)$

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Convert this IEEE 754 32-bit number (expressed in hexadecimal) to decimal. Among your steps, include the step of sign, true exponent, and fraction assembled together in the form of +/-1.xxx2 x 2y right before the final result. For the final result, a decimal expression in the format of +/-(2^x1 + 2^x2 + ... + 2^xn) is okay.

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Problem 2: (20 points) (a) (10 points) Linearize $y = 3cos(2\theta)$ about $\theta = \frac{\pi}{4}$. (b) (10 points) Show your result on a plot of y vs. $\theta$ $y = 3cos(2\theta) + \frac{3\pi}{2}sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$ $\theta = \frac{\pi}{4}$ $y = 3cos(\frac{\pi}{2}) + (\frac{3\pi}{2})sin(\frac{\pi}{2})(\theta - \frac{\pi}{4})$ $y = 2.99 + (\frac{3\pi}{2}) - 0 = 8.70$

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Question 14 In the 1950s the field of mental health in the United States shifted dramatically, mainly due to which of the following events? deinstitutionalization of hundreds of thousands of mental patients from hospitals Increasing opinion that the lobotomy was unethical development of the first psychiatric drugs reversal of the moral treatment movement Moving to another question will save this response.

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Q1 The governing principles in fluid mechanics are the conservation laws for mass, momentum, and energy. These can be stated either in integral form when applied to an extended region, or in differential form when applied to a fluid particle or to an infinitesimal control volume. (a) Write in words the conservation law of mass and derive its analytical expression based on an infinitesimal cubical control volume in a Cartesian coordinate system, given a generic velocity flow field V=(u,v,w). [5] (b) The lumbar puncture is a common procedure in hospitals where the pressure within the spinal canal is usually measured and some cerebrospinal fluid (CSF) is removed either to reduce the pressure or for a sample to be sent for testing. Write a description of how the lumbar puncture is carried out and list some conditions that could be diagnosed by testing the CSF. [5] (c) Write down the equation of conservation of linear momentum and describe in words the meaning of each term appearing into the equation. [5] (d) Simplify the equation of conservation of linear momentum to express the body pressure as function of the CSF height within the piezometer tube connected to the spinal canal. [5]

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Solve the IVP $x' = 8x + 25y$, $y' = -x$, $x(0) = 3$, $y(0) = 0$ Ans $y = e^{-4t} \sin 3t$

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briana c.