Numerade

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Using the Debye approximation, show that the heat capacity of a linear monoatomic lattice at a temperature $ T \ll \theta_{\mathrm{D}} $ is proportional to $ T / \theta_{\mathrm{D}} $. The effective Debye temperature in one dimension may be expressed as \[ \theta_{\mathrm{D}}=\frac{\hbar \omega}{k_{B}}=\frac{\pi \hbar \nu_{s}}{k_{B} a} \] where $ v_{s} $ is the effective velocity of sound and $ a $ is the interatomic spacing.

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Fiat money is money that would have no value if it were not usable as money. Ois usually some type of precious metal. will generally be accepted in trade for less than its face value. is illegal in most advanced, industrial countries.

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Evaluate the integral: \frac{\sqrt{36 - x^2}}{3x^2} dx (A) Which trigonometric substitution is correct for this integral? $x = 36 \tan(\theta)$ $x = 6 \sec(\theta)$ $x = 6 \sin(\theta)$ $x = 6 \tan(\theta)$ $x = 36 \sec(\theta)$ $x = 36 \sin(\theta)$ (B) Write the integral in terms of $\theta$ after substitution. (enter $\theta$, by typing the word theta) $\int \text{________ } d\theta$ (C) Evaluate the above integral in terms of $\theta$. ________ + C (D) Evaluate the original integral in terms of $x$. ________ + C

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Texts: For each of the following, draw the complex, determine the oxidation state of the metal, and calculate the overall electron count on the complex. a. Square planar: (Ph3P)3RhCl b. Ta(CH2tBu)3(CHtBu)

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3. What is the formal charge at B, O and F in this molecule? B O F (A) +1 +1 0 (B) -1 -1 0 (C) +1 -1 -1 (D) -1 +1 0 F CH$_3$ :F-B-O: .. F. CH$_3$ 4. Which compound is the most basic? (A) (C) NH$_2$ (B) NH$_2$ Cl NH$_2$ (D) NH$_2$ H$_3$CO O$_2$N

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This Question: 1 pt 4 of 45 (21 complete) This Test: 45 pts possible Helen owns 12.7% of the stock of the Median Corporation. If Median makes a dividend payment of $20,000,000 paid proportionally to its shareholders, how much of this amount would Helen receive, disregarding tax? A. $3,048,000 B. $3,556,000 C. $2,540,000 D. $2,032,000

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MC.05.060.Algo Assignment Score: 32.39% Save Submit Assignment for Grading Question 14 of 30 Check My Work Field Industries' outstanding bonds have a 25-year maturity and $1,000 par value. Their nominal yield to maturity is 9.25%, they pay interest semiannually, and they sell at a price of $1,150. What is the bond's nominal (annual) coupon interest rate? Select the correct answer. a. 10.35% b. 10.80% c. 10.65% d. 10.50% e. 10.20%

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4. 0.8 kg of steam at 573 K and 100 kPa in a piston/cylinder apparatus undergoes isobaric cooling till one-half of the mass condenses. Sketch the cooling process on a T-v diagram with phase envelop on it. Estimate the final temperature and the change in volume. 5. Estimate the gage pressure (in kPa) inside an 800-L container that contains 10 kg air at 298 K. The atmospheric pressure is 97 kPa.

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Assume a firm currently operating as such: Y = 8K^0.4L^0.6, W=$601, R=$10, P=$100, K=50, L=26. a) Find the marginal product of labor from the 27th up to the 31st worker, ceteris paribus. Make your computations using the output value rounded to two decimal places. b) Is there evidence of diminishing marginal product? Why? c) How many workers are required to maximize labor income, ceteris paribus? d) Compute the amount of firm profits associated with the number of workers you recommended (L*), and then the firm profits when the firm hires L*-1 or L*+1 workers to show that in fact profits are maximized when the firm hires L workers, ceteris paribus.

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Complete the implementations of the: a. ArrayQueue - dequeue - isEmpty b. ArrayUnbndQueue - dequeue - isEmpty c. LinkedQueue

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guillermo b.