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...Problem Set on Legendre, Hermite, Laguerre and Chebyshev Polynomials Due Date: April 12, 2004
1. Obtain the Legendre polynomial P4 (x) from Rodrigues formula Pn(x) = 1 dn (x2 1)n
2nn! dxn
2. Obtain the Legendre polynomial P4 (x) directly from Leg...
...Problem Set for Gamma and Beta Functions
Due Date: January 29, 2004
1. Use the denition of the gamma function with a suitable change of variable to prove that
i)
0
eax xn dx =
1 an+1
(n + 1)
with n > 1, a > 0
ii)
a
exp(2ax x ) dx =
2
2...
...Problem Set for Error and Complementary Error Function
Due Date: February 12, 2004
1. Evaluate the following integrals to four decimal places using either power series, asymptotic series or polynomial approximations:
2
a)
0
ex dx
2
0.002
b)
0.0...
...Problem Set for Bessel Equations and Bessel Functions
Due Date: March 11, 2004
1. By means of power series, asymptotic expansions, polynomial approximations or Tables, compute to 6 decimal places the following Bessel functions: a) b) c) d) given J0...
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2006 Spring Thermodynamics Homework 23, Due Friday, May 5, 2006 Extra Credit worth 10 points 1. Complete the following table for the properties of an air/water vapor mixture. Tdry bulb ( C) 15 35 10 20 . Twet bulb ( C) . 25 10 . . Rel.Hum. (%) 20 . . . 50 (kg/kg of dry air) . . . 0.007 . ha-v (kJ/kg dry of air) . . . . 70 ME 201 2. Air enters an evaporative cooler at 30 C and 20% relative humidity. How much liquid water (in kg/kg of dry air) at 15 C must be evaporated to cool the air to 20 C and a relative humidity of 70%? (HINT: Neglect the enthalpy brought in with the liquid water 1
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Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework #8 Due Wednesday, 2/15/06 1. Ten grams of water at 15C and 100 kPa completely fills a balloon. The balloon is then heated on the stove top at constant pressure until the temperature reaches 125C. Determine the bou...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework 16 Due Monday, 3/27/2006 1. Consider a power plant that is producing 1 MW of electric power as it operates with a high temperature of 1800 K and a low temperature of 290 K. If we can sell the electric power for $0...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 ME 201 Thermodynamics Homework Scores PID A32213067 A32705194 A33771282 A33904427 A34191051 A34237404 A34273614 A34433300 A34438470 A34458339 A34804667 A34947034 A35165679 A35306249 A35323701 A35532202 A35536130 A35642829 A35654142 A3580...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework 17, Due Wednesday, 3/31/2006 1. Two kilograms of Refrigerant-134a is contained in a piston-cylinder system. It is initially at 160 kPa and 0C and is compressed to saturated vapor at 0C. The heat transfer from the ...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework #6, Due Friday, 2/3/06 1. What are the enthalpy, internal energy, specific volume, and entropy for steam at 1107C and 27 MPa? 2. Determine the internal energy change as saturated liquid refrigerant-134a at -6F goe...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework #7 Due Monday 2/6/06 1. Refrigerant -134a as saturated vapor at 0.5 MPa is isentropically compressed by a compressor in a refrigeration plant to 1.2 MPa. Determine the enthalpy change for the process and the final...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework 11 Due Friday 2/24/06 1. One component in a household refrigerator is the compressor where refrigerant 134-a enters as saturated vapor at -24F and is isentropically compressed to 30 psia. Determine the work requir...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework 22, Due Friday, May 5, 2006 Extra Credit worth 15 points 1. An ideal vapor compression refrigeration cycle with refrigerant 134a as the working fluid operates with an evaporator temperature of 20C and a condenser ...
Michigan State University >> ME >> 201 (Spring, 2006)
ME 201 Thermodynamics Piston-Cylinder Cycles (Internal Combustion Engine Cycles) Most internal combustion engines can be modeled as one of three piston/cylinder cycles. At the start of these cycles, the piston is out as far as possible, so that we ha...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework #10 Due Wednesday 2/22/06 1. Three of the processes that occur in the piston cylinder device of an internal combustion engine are: Process 1: Constant pressure heat addition during which the volume doubles Process...
Michigan State University >> ME >> 201 (Spring, 2006)
Spring 2006 Thermodynamics Homework #21, Due Friday, April 21, 2006 1. Consider a jet aircraft flying at 300 m/s at an altitude of 3,000 m (use Table A-16 in the text to determine the pressure and temperature). The jet operates with a simple, ideal ...
Michigan State University >> ME >> 201 (Spring, 2006)
ME 201 Thermodynamics Cycle Analysis Guide Basic Principles Three basic types of thermal cycles Control Volume Power or Propulsion Cycles Closed System Power or Propulsion Cycles Control Volume Refrigeration Cycle All three systems have Heat Added He...
Michigan State University >> ME >> 201 (Spring, 2006)
ME 201 Thermodynamics ME 201 Thermodynamics Old Final Exam Directions: Open book, open notes. Work all four problems. Problems are equally weighted. Problem 1 Consider applying our Carnot heat engine approach to a biological system, specifically, a ...
Michigan State University >> ME >> 201 (Spring, 2006)
ME 201 Thermodynamics ME 201 Thermodynamics Use of Compressible Substance Tables for the Evaluation of Incompressible Substance Properties Guide When a substance that has been identified as an incompressible substance, say subcooled liquid water, ha...
Michigan State University >> ME >> 201 (Spring, 2006)
ME 201 Thermodynamics ME 201 Thermodynamics Compressible Substance Property Evaluation Guide Substances that are undergoing a phase change or have the potential to undergo a phase change must be considered compressible substances. Occasionally, we c...
Michigan State University >> CSE >> 860 (Spring, 2004)
Week 3: Some undecidable 1. 2. ATM = {<M,w> | M is a TM and M accepts w} is undecidable. ATM is Turing recognizable (recursively enumerable). Diagonalization Method Countable, uncountable Z is countable, Z Z is countable. Theorem: A is a subset of B...
Michigan State University >> CSE >> 860 (Spring, 2004)
Week 2: Lecture 3 TM: tape: two way, can write. Formally, Turing machine M is a 7-tuple, (Q, , , , q0, qaccept, qreject,), where 1. 2. 3. 4. 5. 6. 7. Q is the set of states is the input alphabet not containing the special blank symbol is the tape alp...
Michigan State University >> CSE >> 860 (Spring, 2004)
CSE860 HW 2. Due Feb. 17 1. Construct \"and-or\" graph for the following CFG G and Using this graph, decide (i) if L(G) is empty or not, and (ii) if L(G) is finite or not. G: S -> AB| CA B -> BC | AB A -> a C -> aB | b 2. Solve 3.6 3. Solve 3.7 4. Solv...
Michigan State University >> CSE >> 860 (Spring, 2004)
Week 1: Lecture 1 1. 2. Languages, Machines, Functions Languages Regular Languages, Context Free Language Context Sensitive Languages Recursively Enumerable Languages How to define? Grammars: Regular Grammars, CFG, CSG etc. Grammar G = (V, , P, S), w...
Michigan State University >> PHY >> 410 (Spring, 2007)
Course rules and grading procedure: Homework: Reading and homework assignments will be given at the beginning of each week. All assigned problems will also be posted on the Physics 410 home page. Homework will be due at the beginning of class on Mond...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 10: 1. 2. 3. 4. 5. 6. 7. (6 pts) (5 pts) (5 pts) (4 pts) (10 pts) (5 pts) (10 pts) Problem 5.54 Problem 6.10 Problem 6.14 Problem 6.18 Problem 6.22 Problem 6.28 Problem 6.30 from Schroeder. from Schroeder. from Schroeder. from Sc...
Michigan State University >> PHY >> 102 (Spring, 2006)
# Worksheet 13 - 2006 Due Thursday 20th April 9pm This worksheet gives you some more practice at problem solving using mathematica. PROBLEM 1. Make a 3-d plot of the function Sin(xy) for x [0, 3] and y [0, 3]. PROBLEM 2. Numerically find the roots to...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #4 - PHY102 (Spr. 2006) Solving equations Solving equations in Mathematica Look up how to solve algebraic equations exactly(Solve) and numerically(NSolve). If you have a transcendental equation (e.b. x = sin(x) you need to use \"FindRoot\". I...
Michigan State University >> PHY >> 410 (Spring, 2007)
1. (6 pts) Free energy of a two state system. (a) Find an expression for the free energy as a function of =kBT of a system with two states, one at energy 0 and one at energy . (b) From the free energy, find expressions for the energy and entropy of t...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 9: 1. 2. 3. 4. 5. 6. (8 pts) (6 pts) (5 pts) (6pts) (4 pts) (5 pts) Problem 5.32 Problem 5.34 Problem 5.48 Problem 5.49 Problem 5.51 Problem 5.53 from Schroeder. from Schroeder. from Schroeder. from Schroeder. from Schroeder. fro...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 13: 1. 2. 3. 4. 5. 5. (10 pts) (5 pts) (4 pts) (4 pts) (5 pts) (8 pts) Problem 7.28 Problem 7.31 Problem 7.37 Problem 7.39 Problem 7.45 Problem 7.46 from Schroeder. from Schroeder. from Schroeder. from Schroeder. from Schroeder. ...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 6: 1. (10 pts) 2. (3 pts) 3. (12 pts) 4. (6 pts) 5. (4 pts) 6 . (7 pts) Problem 3.25 from Schroeder. Problem 3.33 from Schroeder. Problem 3.34 from Schroeder. Problem 3.37 from Schroeder. Problem 3.38 from Schroeder. Problem 3.39...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 7: 1. (4 pts) 2. (8 pts) 3. (8 pts) 4. (4 pts) 5. (4 pts) 6 . (5 pts) 7 . (6 pts) 8 . (10 pts) Problem 4.4 Problem 4.6 Problem 4.14 Problem 4.17 Problem 4.19 Problem 4.20 Problem 4.30 Problem 4.33 from Schroeder. from Schroeder. ...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 5: 1. (4 pts) Problem 3.1 from Schroeder. 2. (3 pts) Problem 3.4 from Schroeder. 3. (5 pts) Problem 3.8 from Schroeder. 4. (6 pts) Problem 3.10 from Schroeder. 5. (4 pts) Problem 3.14 from Schroeder. 6. (3 pts) Problem 3.19 from ...
Michigan State University >> LIR >> 832 (Spring, 2007)
LIR 832 Qualifying Examination: Spring, 2004 This examination consists of 10 equally weighted questions which require basic knowledge of statistics. The examination lasts two hours, additional time will not be provided. Z and T tables are attached at...
Michigan State University >> PHY >> 321 (Spring, 2006)
Physics 321 Spring 2006 Homework #7, Due at beginning of class Wednesday Mar 15. 1. [8 pts] A \"triangle wave\" can be defined by F (t) = 1 - 2|t|/ for -/ < t < +/, with F (t) defined at all other values of the time t by the property of having period ...
Michigan State University >> PHY >> 321 (Spring, 2006)
PHYSICS 321 EXAM 3 April 18, 2005 NAME 1. [5 pts] Imagine a peculiar cloud of cosmic dust whose mass distribution is spherically symmetric with a density (mass per unit volume) given by (r) = k r 2 where r is the distance from the center and k is...
Michigan State University >> PHY >> 321 (Spring, 2006)
Physics 321 Spring 2006 Homework #6, Due at beginning of class Wednesday Mar 1. 1. [4 pts] A hook is at height y above the floor, where y is constant for all negative times: y = y0 for t < 0. For positive times, y oscillates: y = y0 + A sin t for t ...
Michigan State University >> PHY >> 321 (Spring, 2006)
PHYSICS 321 FINAL EXAM May 4, 2005 NAME 1. [5 pts] A particle of mass M moves in one dimension in the potential V (x) = a + bx where a and b are constants. Find all possible motions x(t). 2. [5 pts] The motion of a system with two degrees of freedom...
Michigan State University >> PHY >> 410 (Spring, 2007)
Tentative Schedule: Week 1 2 3 4 5 6 7 8 Spring 9 10 11 12 13 14 15 Finals Month Jan Jan Jan Jan/Feb Feb Feb Feb Feb/Mar Break Mar Mar Mar/Apr Apr Apr Apr Apr April 22 29 5 12 19 26 5 12 19 26 2 9 16 23 30: M 8 W 10 17 24 31 7 14 21 28 7 14 21 28 4 1...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 12: 1. 2. 3. 4. 5. (6 pts) (6 pts) (12 pts) (7 pts) (14 pts) Problem 7.2 Problem 7.6 Problem 7.8 Problem 7.16 Problem 7.23 from Schroeder. from Schroeder. from Schroeder. from Schroeder. from Schroeder. ...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 2: 1. 2. 3. 4. 5. 6. 7. Problem 1.36 from Schroeder. Problem 1.40 from Schroeder. Problem 1.41 from Schroeder. Problem 1.44 from Schroeder. Problem 1.50from Schroeder. Problem 1.60 from Schroeder. Problem 1.63 from Schroeder. ...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 4: 1. 2. 3. 4. 5. 6. (7 pts) Problem 2.30 from Schroeder. (4 pts) Problem 2.31 from Schroeder. (4 pts) Problem 2.32 from Schroeder. (4 pts) Problem 2.34 from Schroeder. (4 pts) Problem 2.37 from Schroeder. (6 pts) Problem 2.39 fr...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 1: 1. 2. 3. 4. 5. 6. 7. Problem 1.8 from Schroeder. Problem 1.16 from Schroeder. Problem 1.21 from Schroeder. Problem 1.22 from Schroeder. Problem 1.25 from Schroeder. Problem 1.26 from Schroeder. Problem 1.33 from Schroeder. ...
Michigan State University >> PHY >> 410 (Spring, 2007)
Physics 410 Homework 3: 1. 2. 3. 4. 5. 6. 7. Problem 2.2 from Schroeder. Problem 2.6 from Schroeder. Problem 2.13 from Schroeder. Problem 2.17 from Schroeder. Problem 2.19 from Schroeder. Problem 2.23 from Schroeder. Problem 2.27 from Schroeder. ...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #2 - PHY102 (Spr. 2006) Formats and List operations (Vectors) Formating From the toolbar do the following: \"format\" followed by \"style\", the dropdown menu offers you lots of options. \"input\" is the default, and is the \"format\" in which you ...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #3 - PHY102 (Spr. 2006) Matrices and linear algebra Last week we did vector operations with lists. This week we introduce you to matrices, their representation using lists and to some of the matrix operations which Mathematica is able to do...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #9 - PHY102 (Spr. 2006) Due Thursday March 23rd More on \"Do loops\", Illustrating Chaos Tools that you need You will need the following this week (look them up in the online help): Do (you can also use Table or NestList) You will also need ...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #6 - PHY102 (Spr. 2006) Generating and plotting lists of numbers, \"Do\" loops and animation - due Thursday February 23rd We often ask a computer to do an operation many times. There are a large number of ways of doing these \"iterative\"tasks ...
Michigan State University >> PHY >> 102 (Spring, 2006)
Review and Examples (Spr. 2006) Due Thursday 6th April These are examples of questions with the degree of difficulty that you will encounter in the lab-exam. Make sure that you can do them! Use Mathematica to solve all parts of the problems Vectors P...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #1 - PHY102 (Spr. 2006) This worksheet introduces you to the use of Mathematica. Mathematica is a programming language developed by Stephen Wolfram which has many applications,e.g., solving algebraic equations, differentiation, integration,...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #10 - PHY102 (Spr. 2006) The wave and diffusion equations Due Thursday March 30th In this worksheet we will study two partial differential equations that are very important in physics. Many wave motions can be described by the linear wave e...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #5 - PHY102 (Spr. 2006) Solving Equations and Differential Equations II Due Thursday February 16th Last week you learned about the following functions which are among the most important in Mathematica: Solve - solves polynomial equations a...
Michigan State University >> PHY >> 102 (Spring, 2006)
Worksheet #8 - PHY102 Motion in a potential Although you first learn about Newton\'s second law F = ma and the dynamics that results from it, much of the discussion in the more advanced physics texts is in terms of \"potentials\" V (r). A particle under...
Michigan State University >> CSE >> 422 (Spring, 2008)
CSE 422 Lab 3: Task How-To You will need to edit both the server and client In the server code: Add an member variable to the struct user object near the top of the file: sockaddr_in address; (This will be used to store the address of the client re...
Michigan State University >> CSE >> 422 (Spring, 2008)
CSE 422 Lab 3: Sending Image Files in a Chat Room Overview: As in Lab 2, the general application is that of a chat room, where clients connect to a server and can communicate with each other. Now we want you to add the ability for a client to send an...
Michigan State University >> CSE >> 422 (Spring, 2008)
CSE 422 Spring 2008 Lab 1: Simple log-in and connect client and server Objective: This lab will introduce you to socket programming using both UDP and TCP connections. You will create both a client and the server program. The client will send a usern...
Michigan State University >> CSE >> 422 (Spring, 2008)
CSE 422 Homework #1 Due at the Beginning of Class Thursday, March 13 Spring 2008 Name: Score: /100 Please write your answers CLEARLY on these sheets, which will assist the TA in grading. You must show all your work! A correct numerical answer w...
Michigan State University >> CSE >> 422 (Spring, 2008)
1 CSE 422 Name: Practice Problems Spring 2008 1. (22 points total) Consider a checkout lane in the supermarket. Customer arrivals are Poisson with a mean arrival rate of one customer every four minutes. The service times are exponen tially distri...
Michigan State University >> LIR >> 832 (Spring, 2007)
LIR 832 Qualifying Examination: Spring, 2004 This examination consists of 10 equally weighted questions which require basic knowledge of statistics. The examination lasts two hours, additional time will not be provided. Z and T tables are attached at...
Michigan State University >> LIR >> 832 (Spring, 2007)
LIR 832 Qualifying Examination: Summer 2004 This examination consists of 10 equally weighted questions which require basic knowledge of statistics. The examination lasts two hours, additional time will not be provided. Z and T tables are attached at ...
Michigan State University >> LIR >> 832 (Spring, 2007)
LIR 832 Qualifying Examination: Summer 2004 This examination consists of 10 equally weighted questions which require basic knowledge of statistics. The examination lasts two hours, additional time will not be provided. Z and T tables are attached at...
Michigan State University >> CE >> 421 (Spring, 2005)
CE 321 Lab # 3 Bernoulli\'s Equation General Info: - Hand in Pre-lab Questions - Worksheet and Spreadsheets (sent by email) due Thursday by 5 pm - Lab Reports due Tuesday by 5 pm (both Hardcopy and Electronic) - www.egr.msu.edu/cee/techcomm Experim...
Michigan State University >> CE >> 421 (Spring, 2005)
CE 321 Lab # 2 Flow Rate Measurement General Info: - Hand in Pre-lab Questions - Worksheet and Spreadsheets due Thursday by 5 pm - Lab Reports due Tuesday by 5 pm (both Hardcopy and Electronic) - www.egr.msu.edu/cee/techcomm Experiment Objectives:...
Michigan State University >> CE >> 421 (Spring, 2005)
CE 321 Lab # 4 Momentum Flux Make sure you write down anything you see during the experiment that may help you answer the questions asked in the memo. Experiment Theory: How do forces exerted by a liquid jet impacting targets of different shapes...
Michigan State University >> CE >> 421 (Spring, 2005)
CEE 321 Fluid Mechanics Laboratory Writing Seminar COPE Clarity Organization Precision Economy Plagiarism: ZERO TOLERANCE If a group or person is caught submitting someone else\'s work as their own; that group or person will be given a 0.0 for the ...
Michigan State University >> PHY >> 321 (Spring, 2006)
PHYSICS 321 EXAM 1 Feb 16, 2005 NAME 1. [3 pts] The location of a particle of mass M is given by ^ r = C1 cos( t) ^ + C2 eB t ^ + C3 t3 k i j as a function of the time t, where C1 , C2 , C3 , B, and are constants. Find the component of force in ...
Michigan State University >> MATH >> 421 (Fall, 2007)
M421 HW 6 Due Friday Nov. 30 From Wade Section 11.4 11.5 11.6 Page Number 350-351 357-358 368 Problems 2, 3, 8 1, 5a, 7 3 Non-book Exercises 1) Let be a curve in R3 , = (t) = (1 (t), 2 (t), 3 (t) t [0, 1] , where C 2 ([0, 1], R3 ) satisfies (...
UGA >> POLS >> 1101 (Summer, 2008)
Hill Committees o Democratic Congressional Campaign Committee DCCC, D Triple-C, D-Trip o National Republican Congressional Committee NRCC o Raise money to get/keep members of their party into Congress 3 types of candidates o Incumbent o Challenger ...
UGA >> POLS >> 1101 (Summer, 2008)
Politicians look for ways to connect with people o Candidates become extremely capable of targeting people Find out when and how they vote If you\'re a democrat, get as many blacks to the polls as possible o Walkin Lawton Mainor Chiles walked acros...
UGA >> POLS >> 1101 (Summer, 2008)
1. Legislature 1. Govern 2. Create Laws 3. Executive Oversight i. Impeach 1. Treason 2. Misdemeanor 3. High Crimes 4. Senate has power to approve Presidential Appointment 5. 25 years old for House, 30 for Senate 6. 16 women Senators, 70 total i. Firs...
UGA >> POLS >> 1101 (Summer, 2008)
I. Legislature A. State House 1. Speaker of the Georgia House Glenn Richardson a) Republican b) Does not get along with governer c) Potential challenge for Speaker (1) 2. David Ralston Speaker Protemp a) Mark Burkholter 3. Run for Governer a) Jer...
UGA >> POLS >> 1101 (Summer, 2008)
I. II. III. IV. V. Bill through the Senate A. 100 Senators vs. 435 House members B. Senate, hearings happen in committee; house happens in sub-committee C. Senate does not have committee with same function as Rules Committee D. UCA Unanimous Co...
UGA >> POLS >> 1101 (Summer, 2008)
I. II. III. IV. V. Incumbency\'s Power A. How they keep their position 1. Send newsletters to households a) Costs a lot of money b) Paul Brown (1) Sent out 10 mass mailings (2) Spent office in one year (3) Spent the bulk of his budget on newslett...
UGA >> POLS >> 1101 (Summer, 2008)
I. II. III. IV. V. VI. VII. VIII. IX. X. Georgia Governor A. OPB Office of Planning a Budget 1. Fiscal year begins in July 2. Has line item veto B. Sets the state revenue estimate to keep state out of debt C. Supplemental Budget 1. When the...
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