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Midterm_01
School: Berkeley
Course: PHYSICS 141A
Solutions to midterm 1 (141A Sp 07)1These solutions are a little terse. You would be expected to explain fully in your answer. 1. (a) ^ a1 = d 3x See figure 1. (b) Two atoms in a basis, at 1 = 0, 2 =  1 a1 + 2 a2 . 3 3 (c) We choose our recipro.

Midterm_02
School: Berkeley
Course: PHYSICS 141A
Solutions to midterm 2 (141A Sp 07)11.(a) Bloch's theorem says that if the potential is periodic, ie. U(x + a) = U(x), then the energy eigenfunctions satisfy (x + a) = eika (x) for some k. This is important for a number of reasons. For instance.

Final09
School: King's College London
Course: PHYSICS 336
Physics 361 Final exam December 7, 2009 answers in [[..] You may consult notes that you yourself have written. F.1 Comparing two metals, short answer Two freeelectronlike metals, A and B, have a single valence ... density of electrons, the pair ...

MidtermSolved
School: King's College London
Course: PHYSICS 336
Physics 361 Midterm exam 10/26/09 Name: Please indicate your reasoning for your answers. You may consult notes that you yourself have written, but not the book or things that others have written. Test results Total scores: 24 23 22 22 20 20 18 18 ...

Math 354 Chapter 810 Test
School: Morehead State
Course: MBA 500
... Road construction workers spend a lot of time in unproductive activities, like talking on cellphones, smoking and telling jokes. An actual study, using a stopwatch, was conducted at a construction site. A random check of workers revealed the f...

731F11_EXAM1
School: Maryland
Course: PHYSICS 731
1. Rather than starting with a semiclassical approximation, a quantum mechanical approach to screening in the electron gas would first solve Schroedinger's equation and then determine the induced charge density from the resulting wavefunction ...

Finalsoln
School: Maryland
Course: PHYSICS 731
1. Graphene consists of two interpenetrating 2dimensional lattices A and B in the xyplane:a. Identify the nearestneighbor vectors ni and construct the kdependent LCAOtightbinding Hamiltonian for singlelayer graphene in a pz orbital basis. Yo...

Math 123 Finals Mass Tutorial
School: McGill
Course: BUSINESS 101
... eg x1 + x2 > 8 To turn this into linear equation, introduce slack variable, s1 → x1 + x2 +s1 = 8 OPTIMIZE USING SIMPLEX METHOD Example 1: Maximize z = 5x1 + 2x2 subject to: 2x1 + 4x2 ≤ 15 3x1 + x2 ≤ 10 x1, x2 ≥ 0 1) Turn these ine...

Midterm_2012_sol
School: University Of Florida
Course: PHY 4905
... ε = ± ¯h2k2 2m∗ . Find the electronic part of the specific heat for the case when the Fermi energy is equal to zero. (You may need to use the fact that ∫ ∞ 0 dxln (1 + exp (−x)) = π2/12). [50 points] Following the same steps as in ...

Final Proposal Team AllIn
School: Oregon
Course: BA 352
... Program Description We the Springfield Education Foundation (SEF), located in Springfield, Oregon, are a nonprofit organization that works alongside Springfield public schools to advance student opportunities and support educational programs ...

Midterm_2012_sol
School: University Of Florida
Course: PHY 4905
... ε = ± ¯h2k2 2m∗ . Find the electronic part of the specific heat for the case when the Fermi energy is equal to zero. (You may need to use the fact that ∫ ∞ 0 dxln (1 + exp (−x)) = π2/12). [50 points] Following the same steps as in ...

Exam_exam_1_
School: Maryland
Course: ACCOUNTING 221
... Answer question 2 on answer page 2. 2. a. (12 points) Calculate the average rate of change of 1 5 − = x y on the interval 1 ≤ x ≤ 2. 2. b. (12 points) Given 1 5 − = x y , find 1 2 2 = x dx yd . 2. c. (4 bonus points) What does your ans...

Exam_solutions_1_
School: Maryland
Course: ACCOUNTING 221
... x x dx yd x x dx dy x y 2. c. (4 bonus points) What does your answer to question 2 b) tell you about the graph of 1 5 − = x y ? At the point where x = 1, the graph of y is concave up. 3. a. (4 points) State the domain of the function ( ) ( )...

Exam_solutions_1_A
School: Maryland
Course: ACCOUNTING 221
... x x x x xm x x x xm for x = 2, 1 x < 2 2 < x < 1 1 < x m ′′ positive negative positive 3. a. (10 points) Given a company's Revenue function ( ) x x xR − + − = 2 400 500 , find the equation to express Marginal Reve...

Exam 1
School: UCSC
Course: PHYSICS 156
... What is this thing called tunneling? How does it occur in a solid? How does that cause conduction? In answering this question, you can assume that the questioner already knows about the discrete atomic levels (1s, 2s and so on). 3