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Brandeis - ECON - 2a
BRANDEIS UNIVERSITY Department of Economics Economics 2a Intro to Econ Answers to Problem Set 5 1. a) The cost to Acme to cut back by 3 tons is $3 + $6 + $9 = $18. The cost to Bloated to cut back by 3 tons is $1 + $2 + $3 = $6. The total cost for bot
Michigan - EECS - 314
EECS 314Winter 2007 Exam 3= FinalSample solutionTuesday April 24, 2006, 1:30 3:30 PMStudents will take the exam in the following rooms, according to the first letter of their last names: 220 Chrysler Auditorium (our lecture room) A through O
Michigan - EECS - 314
Sample solutionsEECS 314 Winter 2007 Exam 2Thursday March 15, 2006, 10:00 11:30 AMStudents will take the exam in the following rooms, according to the first letter of their last names: 220 Chrysler Auditorium (our lecture room) A through O 1504
Michigan - EECS - 314
EECS 314 Winter 2007 HW 08 Grading PolicyThis document corrects the typos made in early versions of problems 4, 5, and 7. Problem 1 25 points Problem 2 25 points Problem 3 25 points Problem 4 30 points (one point for each correct answer) Problem
Michigan - EECS - 314
EECS 314 Fall 2007 HW 08 Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _The big pictureSemiconductor diodes are non-linear circuit elements: they do not obey Ohm's law. The voltage-current characteristics of diode
Michigan - EECS - 314
EECS 314 Fall 2007 HW 09 Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _The big pictureThis problem introduces several important aspects of rectifier circuits: the actual voltages across the load resistance (they
Michigan - EECS - 314
EECS 314 Fall 2007 Exam 2 Sample solutionsA 2 10 20The Key B C D 5 4 3 8 7 6 12 13 11 18 17 14 19 15E 1 9 16Problem # Correct answer 1 E 2 A 3 D 4 C 5 B 6 D 7 C 8 B 9 E 10 A 11 D 12 B 13 C 14 D 15 D 16 E 17 C 18 B 19 B 20 AAlexander Ganago
Michigan - EECS - 314
Sample solutionsEECS 314 Fall 2007 Exam 3 = FinalInstructor: Alexander Ganagoganago@umich.eduThursday December 13, 2007, starts at 1:30 PMExam rooms will be announced separatelyExam rulesUnder the Honor Code, do NOT discuss this exam with
Michigan - EECS - 314
EECS 314 Fall 2007 HW 03 Solutions Problem 1EECS 314 Fall 2007 HW 03 Solutions Problem 1Part 2In this problem, the oltage signals Vs1 linearly depend on the temperature from sensor and equal Vs1, 0F = 4.0V and Vs1, 100F = 3.2V We need to obtain t
Michigan - EECS - 314
EECS 314 Fall 2007 HW 05 solutionsProblem 1 Solution From the given equation for energy, we see that we need to know the voltage across each capacitor to find the energy. Each of the capacitors in this problem is in parallel with a resistor, and the
Michigan - EECS - 314
EECS 314 Fall 2007 HW 06 SolutionsContinued on next page.Page 1 of 17EECS 314 Fall 2007 HW 06 SolutionsPage 2 of 17EECS 314 Fall 2007 HW 06 SolutionsPage 3 of 17EECS 314 Fall 2007 HW 06 SolutionsProblem 2 SolutionPart 1To get the eq
Michigan - EECS - 314
EECS 314 Fall 2007 HW 07 Solutions Problem 1Transfer functions for each type of circuit are of the form:H H jRC 1 jRC RC 1 2 R2 C2Generate this plot. Some example code for MATLAB is provided below:0 !20 |H| (dB) !40 !60 !80 !100 !120 !140 1 1
Michigan - EECS - 314
EECS 314 Fall 2007 HW 02 SolutionsHomework 2 Problem 1Part1: 1) The problem statement gives us the following information: R R X " P ! K! 2 Vout " a ! b!(R In addition, we know because of voltage division that Vout " VS & X &R ' P the given infor
Michigan - EECS - 314
EECS 314 Winter 2008 HW 03 Solutions Problem 1Part 1First, before using the golden rule, construct a node voltage equation at the V+ node. This is done by applying KCL to account for all currents exiting or entering the node, followed by rewriting
Michigan - EECS - 314
EECS 314 Fall 2007 HW 04 solutionsProblem 1This problem asks you to find the Thevenin and Norton equivalent circuits of the circuit above using source transformations and parallel/series reductions. Begin by transforming the 16V voltage source and
Michigan - ME - 235
HOMEWORK SET 4b 6.9 In a boiler you vaporize some liquid water at 100 kPa flowing at 1 m/s. What is the velocity of the saturated vapor at 100 kPa if the pipe size is the same? Can the flow then be constant P? The continuity equation with average val
Michigan - ME - 235
HOMEWORK SET 1 2.22 A car of mass 1775 kg travels with a velocity of 100 km/h. Find the kinetic energy. How high should it be lifted in the standard gravitational field to have a potential energy that equals the kinetic energy? Solution: Standard kin
Michigan - ME - 235
HOMEWORK SET 7b 9.44 A small pump is driven by a 2 kW motor with liquid water at 150 kPa, 10C entering. Find the maximum water flow rate you can get with an exit pressure of 1 MPa and negligible kinetic energies. The exit flow goes through a small ho
Michigan - EECS - 314
EECS 314Winter 2008Homework set 7Student's name _ Discussion section # _ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required field
Michigan - EECS - 314
EECS 314 Winter 2008 HW 10 Solutions Problem 1Part 1Determine the intermediate logic signals to solve the problem incrementally, and verify the net operation: Input A 0 1 0 1 Output A 1 0 1 0 Input B 0 0 1 1 Output B 1 1 0 0 Output C 0 1 1 1The b
Michigan - EECS - 314
EECS 314Winter 2008Homework set 9Student's name _ Discussion section # _ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required field
Michigan - EECS - 314
EECS 314 Winter 2008 HW 04 Solutions Problem 1Part 1 & 21A 2 8 2 48V 5.2 50V 5 b 2.5a2A2 6A = 2A 2 82V5.2 50V 52.57.2 a = 4A 1.62V 2.5 50V 5 abb7.2 = 1.6 6.4V2V 2.5 10A a = 5 b 2.5 2.5 10.5A = 5 b 5.69 = 33.5V a = 5.89A 5.69
Michigan - EECS - 314
EECS 314Winter 2008Homework set 5Student's name _ Discussion section # _ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required field
Michigan - EECS - 314
W08 EECS 314 Homework 6 Solutions Problem 1Part 1The problem asks to find VOUT in terms of VIN, so we start out the problem by doing Node Voltage Analysis. IR and IC are labeled on the diagram and following the Passive Sign Convention, this in tur
Michigan - EECS - 314
EECS 314 Winter 2007 HW 10 Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _The big pictureAs you know from lecture notes, music on CD is recorded with 16- or 20-bit resolution, at the sampling rate of ~ 44 kHz. As
Michigan - EECS - 314
EECS 314 Winter 2007 HW 07 Overview OverviewIn this HW 07, we keep studying steady-state responses of circuits that include capacitors and inductors to sinusoidal input signals, both at varied frequencies and at fixed frequencies. The main analytic
Michigan - EECS - 314
Sample solutionsEECS 314 Fall 2007 Exam 1Instructor: Alexander Ganagoganago@umich.eduWednesday October 10, 2007, starts at 5:00 PMExam rooms, according to the first letter of students' last names:A through K 220 Chrysler Auditorium (our lec
Michigan - EECS - 314
Homework 2 Solutions Problem 1EECS 314 Winter 2008Part1: 1) The problem statement gives us the following information: R RX = P + K 2 Vout = a + b In addition, we know because of voltage division that Vout = VS the given information for R X , you
Michigan - EECS - 314
EECS 314 Fall 2007 HW 11 For extra credit Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _For the Big Picture, see the file 2007 Analog and Digital posted on the web as part of lecture notes for November 27, 2007.
Michigan - EECS - 314
EECS 314 Winter 2008 Problem 1HW 01SolutionsKCL, KVL, and the Passive Sign ConventionConsider the circuit shown on this diagram. Note that nodes A, C and B are all connected with wires thus they are in fact one node! Some currents and some vo
Michigan - EECS - 314
EECS 314Winter 2008Midterm exam 2The Key A B C D E 1 3 6 2 4 5 10 12 11 8 7 9Problem # Correct answer 1 2 3 4 5 6 7 8 9 10 11 12 A D B E A C A E E B D CInstructor: Alexander GanagoEECS 314Problem 1Winter 2008Midterm exam 2In the ci
Michigan - EECS - 314
EECS 314Winter 2008Midterm exam 1The Key A B C D E 6 2 1 4 3 7 8 5 10 9 12 11Problem # Correct answer 1 2 3 4 5 6 7 8 9 10 11 12 C B E D C A A B E D D CInstructor: Alexander GanagoEECS 314 Problem 1Winter 2008Midterm exam 1In the ci
Michigan - EECS - 314
EECS 314Winter 2008Homework set 8Student's name _ Discussion section # _ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required field
Michigan - EECS - 314
EECS 314 Winter 2007 HW 09 Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _The big pictureThis problem introduces several important aspects of rectifier circuits: the actual voltages across the load resistance (the
Michigan - EECS - 314
EECS 314 Fall 2007 HW 10 Problem 1Student's name _ (Last name, first name, IN INK) Discussion section # _The big pictureAs you know from lecture notes, music on CD is recorded with 16- or 20-bit resolution, at the sampling rate of ~ 44 kHz. As yo
Michigan - ME - 235
HOMEWORK SET 4a 5.86 A piston/cylinder contains 1.5 kg of air at 300 K and 150 kPa. It is now heated up in a two-step process. First constant volume to 1000 K (state 2) and then followed by a constant pressure process to 1500 K, state 3. Find the hea
Michigan - ME - 235
HOMEWORK SET 2 3.32 Water at 120oC with a quality of 25% has its temperature raised 20oC in a constant volume process. What is the new quality and pressure? Solution: State 1 from Table B.1.1 at 120oC v = vf + x vfg = 0.001060 + 0.25 0.8908 = 0.2237
Michigan - ME - 235
HOMEWORK SET 6 8.17 Find the missing properties and give the phase of the ammonia, NH3. a. T = 65C, P = 600 kPa s=?v=? b. T = 20C, P = 100 kPa v=?s=? x=? 3/kg s = ? x = ? P = ? c. T = 50C, v = 0.1185 m a) B.2.2 average between 60C and 70C v = (0.2598
Michigan - ME - 235
HOMEWORK SET 3 4.35 A piston cylinder contains 1 kg of liquid water at 20oC and 300 kPa. There is a linear spring mounted on the piston such that when the water is heated the pressure reaches 3 MPa with a volume of 0.1 m3. a) Find the final temperatu
Michigan - ME - 235
HOMEWORK SET 7a 8.105 A piston/cylinder has ammonia at 2000 kPa, 80oC with a volume of 0.1 m3. The piston is loaded with a linear spring and outside ambient is at 20oC, shown in Fig. P8.71. The ammonia now cools down to 20oC at which point it has a q
Michigan - ME - 235
HOMEWORK SET 5 6.57 A small stream with 20oC water runs out over a cliff creating a 100 m tall waterfall. Estimate the downstream temperature when you neglect the horizontal flow velocities upstream and downstream from the waterfall. How fast was the
UMiami - MTH - 112
SECTION TAYLOR MACLAURIN 8.7 AND SERIEStr253By 39, Example 7,tan-1, : i (-1)' #forwehave : ta"-'(r7al@ro, lrl < 1.Inparticular," -ft,. ir, , /+) : i (_r),!44)"*' t (-t)" (.i/)'+=1. znT!-: i!o' ,/i2n+L'r-1)'(-1)" 6 -& sor:ft Affi-2v3E
UMiami - MTH - 112
9 trPARAMETRIC EQUATIONS POLAR AND COORDINATES9,1 Parametric Gurves1.r:l+ft,a:t2-4t,tT0<r<5234501r2r+ \O2.4rr+Jl2.733r+J63.24a0-3-4-3053 .r : 5 s i n t , A : t 2 ,-r -r/21 t 1 n 0 r/2 7rt r-7ra0 n2 s.87n
Michigan - ASIAN - 126
ASIAN LAN 1261 10Habitual action with ACTIVITY verbsV-te form +topicalso expresses a habitualaction / repeated action. V te-formMr. Tanaka eats vegetables everyday.Habitual action with ACTIVITY verbs Practicete-form Adjective/Nounte
University of Texas - MIS - 311F
Outline Internet Security Definition How We Connect to the Net Why Use the Net Needs, Risks, Issues Analysis Solutions / OptionsInternet Security DefinitionInternet Security Definition Protection of: InformationT ATategy trS Against th
University of St Andrews - IR - 2003
School of International Relations IR2003: Power and Violence in World Politics Semester 1: January 2006 Time Allowed: 2 hours Answer 3 questions: Answer question 1 Answer one question from Section A Answer one question from Section B1. `It is unrea
University of Texas - BIO - 311C
Enzymes1Last TimeMeasuring the energy that can perform work in the cell - Free energy - G Free energy and metabolism - exergonic and endergonic reactions Coupling exergonic reactions with endergonic reactions to do work2EnzymesEnzymes are p
University of Texas - BIO - 311C
Respiration: electron transferhttp:/www.cbs.dtu.dk/staff/dave/roanoke/mitochondriadrawing.gif1Last TimeEnzymes are proteins speed up exergonic chemical reactions Enzyme activity is affected by the cellular environment pH and temperature Regula
University of Texas - CH - 301
McCord Vanden BoutWhat sections?THERMODYNAMICSExam 4 Review TopicsFall 2007Chapter 9 sections 1-6 and Chapter 10 sections 1-9. Plus heating curve problems Chapter 16 section 10 and Bond Energies (Chapter 13, Tables 13.6 and 13.7 - don't memor
UCSB - ECON - 100a
Econ 100A - Problem Set 1 I. Math Reviewdy ? dx y 2. y = zx3/4 + z ln d. What is the expression for ? x y 3. y = 7k ln( x ). What is the expression for ? x dy x 4. E y ,x = . Let y=2x2. What is the expression for Ey,x? dx y1. y = 5x 2 / 3 + 7x +
UCSB - ECON - 100a
Econ 100A - Problem Set 2 Utility Maximization and Demand 1. George's utility is given by U(x1, x2) = 6x1*x22. Use calculus to work through the utility maximization problem and derive his demand functions x1(p1, p2, I) and x2(p1, p2, I). 2. Ted's dem
UCSB - ECON - 100a
Problem Set 3 Comparative Statics of Demand 1. Good 1 is a normal good, Good 2 is an inferior good. Using 3 budget lines and 2 indifference curves, illustrate the effect of an increase in p2 on the consumption of both x1 and x2. Label income and subs
UCSB - ECON - 100a
Econ 100A - Problem Set 4 Supply of Labor 1. Let U(Le, I) = Le2 I. What is the individual's labor supply function (La(w, I0)? How many hours does the individual work if the wage (w) is 10$/hr and non-wage income (I0) is 320$/wk? 2. Illustrate the inc
UCSB - ECON - 100a
Problem Set 5 THEORY OF PRODUCTION 1. a. If a firm's production function is given by F(L,K) = 3 18 L + 9 K , which is larger APL(8, 8) or APK(8, 8)? 2. a. What is the MRTS of the function F(L,K)= L2 + K? b. Does this function exhibit diminishing MRTS
UCSB - ECON - 100a
Formulas and Definitions Utility Maximization max U(x1, x2) s.t. p1x1 + p2x2= I F.O.C.s MU1/MU2 = p1/p2 p1x1 + p2x2= I Labor Supply max U(Le, I) s.t. I + wLe = I0 + 168w F.O.C.'s MULe/MUI = w I + wLe = I0 + 168w Capital Supply Max U(c1,c2) s.t. c1+c2
UCSB - ECON - 100a
Problem Set 6 Long Run Cost 1. Let F(L,K)=L1/3K2/3. What are the firm's output-constrained factor demand functions, L*(Q, w, r) and K*(Q,w, r)? What is the firm's long run cost minimizing input bundle when w=4, r=1, and Q=4? 2. A firm is producing an
UCSB - ECON - 100a
Problem Set 7 Profit Maximization and Supply 1. Suppose LTC(Q, w, r)= wrQ2 a. Find LMC(Q, w,r) b. Find the firm's supply function Q(P, w, r). c. Let w=2 and r=2 and P=4. What is the firms' profit maximizing level of production? 2. LMC(Q, w, r) = .5 (