Numerade

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Show the operators: J^(2)=J_(-)J_(+)+J_(z)(J_(z)+1). Show the operators: $J^2 = J_-J_+ + J_z(J_z + 1)$.

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You are trying to reduce gender prejudice at your college. Which of the following strategies would be expected to be most effective?

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Fall 2001 Final Exam 3. (11 pts) The transformer shown in the circuit below is ideal. Find the following: a) I_(1)= ? b) V_(2)= ? Fall 2001Final Exam 11 pts) The transformer shown in the circuit below is ideal. Find the following: a)1,=? R1=440 b) V2=? Vs=110V T V V2 R:=26.4 1 N1=200-turns N 2:=40-turns

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A polyamide 6,6 sample is mixed from the following 4 components. In each of these components all chains have the same length: A 10 g, molar mass, $M_A$ = 10000 g/mol B 20 g, molar mass, $M_B$ = 15000 g/mol C 30 g, molar mass, $M_C$ =25000 g/mol D 40 g, molar mass, $M_D$=40000 g/mol What is $M_n$, $M_w$ and PDI (= $M_w$/$M_n$) for the polyamide sample: $M_n$=22.1 kg/mol, $M_w$=27.5 kg/mol, and PDI=1.25 $M_n$=27.5 kg/mol, $M_w$=32.1 kg/mol, and PDI=1.17 $M_n$=0.90 kg/mol, $M_w$=2.12 kg/mol, and PDI=2.36 $M_n$=22.5 kg/mol, $M_w$=28.3 kg/mol, and PDI=1.26

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Book -id: int -title: string -author: string -year: int +lessThan(in b:Book*): bool +print()

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10 points) Consider a seasonal series of observations X = 4t + tSt + e, in which the seasonal pattern St satisfies St = St-6 for all t and e are a stationary series of random variables. Define the seasonal difference operator Vs = 1 - B^6, show that V^6X is stationary.

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Find two power series solutions of the given differential equation about the ordinary point $x = 0$. $y'' + x^2y' + xy = 0$ $\bigcirc \ y_1 = 1 - \frac{1}{6}x^3 + \frac{1}{45}x^6 - \dots \quad \text{and} \quad y_2 = x - \frac{1}{6}x^4 + \frac{5}{252}x^7 - \dots$ $\bigcirc \ y_1 = 1 - \frac{1}{12}x^4 + \frac{5}{672}x^8 - \dots \quad \text{and} \quad y_2 = x - \frac{1}{10}x^5 + \frac{1}{120}x^9 - \dots$ $\bigcirc \ y_1 = 1 - \frac{1}{12}x^3 + \frac{5}{672}x^6 - \dots \quad \text{and} \quad y_2 = x - \frac{1}{3}x^4 + \frac{1}{15}x^7 - \dots$ $\bigcirc \ y_1 = 1 - \frac{1}{2}x^2 + \frac{1}{8}x^4 - \dots \quad \text{and} \quad y_2 = x - \frac{1}{10}x^5 + \frac{1}{120}x^9 - \dots$ $\bigcirc \ y_1 = 1 - \frac{1}{2}x^2 + \frac{1}{8}x^4 - \dots \quad \text{and} \quad y_2 = x - \frac{1}{3}x^3 + \frac{1}{15}x^5 - \dots$

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4. A 1-L water bottle is cooled by a refrigeration cycle from 25°C to 4°C. Heat is taken from water and discharged to the surroundings of 25°C. Apart from these, there are no heat interactions between the water bottle, refrigerator and surroundings. a) Determine the minimum theoretical work input required in kJ. Assume water as an incompressible fluid. b) Consider the case where water bottle is initially at 20°C and heat is discharged to the surroundings at 18°C. Could the bottle be cooled to 4°C with a work input of 2.0 kJ? If it could be, determine the amount of entropy production during this process.

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(b) For the circuit shown in Figure Q1(b), determine $v$, $i$, and $v_o$ for all time, assuming that the switch was closed for a long time. $t=0$ 6? W i 1? + + 24 V + 0.2F v 12 ? v_o 4 ?

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How do the characteristics of the oligopoly market structure differ from the characteristics of the monopolistic competition market structure?

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deborah p.