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Course: M 231, Fall 2009
School: University of Texas
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keys Solution to quiz 9 1. (10pts) Find Velocity(4pts), Speed(2pts) and Acceleration(4pts) of a particle with the given position function: r(t) = sin ti + tj + cos tk Solution: Velocity is v(t) = r (t) =&lt; cos t, 1, sin t &gt; Speed is |v(t)| = Acceleration is a(t) = v (t) =&lt; sin t, 0, cos t &gt; 2. (10pts) Find the position vector of a particle that has the given acceleration and the...

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keys Solution to quiz 9 1. (10pts) Find Velocity(4pts), Speed(2pts) and Acceleration(4pts) of a particle with the given position function: r(t) = sin ti + tj + cos tk Solution: Velocity is v(t) = r (t) =< cos t, 1, sin t > Speed is |v(t)| = Acceleration is a(t) = v (t) =< sin t, 0, cos t > 2. (10pts) Find the position vector of a particle that has the given acceleration and the specied initial velocity and position. a(t) i = + 2j + 2tk, v(0) = 0, r(0) = i + k cos2 t + 1 + ( sin t)2 = 2 Solution: By fundamental theorem of Calculus, t t t t v(t) = v(0) + 0 2 a(s)ds = 0+ < 0 1ds, 0 2ds, 0 2sds > = < t, 2t, t > Again by fundamental theorem of Calculus, t t t...

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University of Texas - M - 231
Solution Keys to Quiz 7 1. (10 pt) Find a vector function that represents the curve of intersection of the following two surfaces. The cylinder x2 + y 2 = 4 and the surface z = xy. Solution: From the cylinder x2 + y 2 = 4, one can parametrize x and y by t
University of Texas - M - 231
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University of Texas - M - 231
University of Texas - M - 231
University of Texas - M - 231
University of Texas - M - 231
University of Texas - M - 231
University of Texas - M - 231
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Fundamentals of CS I (CS151 2001S)The DrScheme programming environmentNote: Each member of your group should do this lab working within his or her own account. Starting DrScheme DrScheme language options DrScheme's Interactions Window DrScheme's definit
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Fundamentals of CS I (CS151 2001S)Beginning SchemeYou may also want to keep the corresponding reading at hand. Exercises Exercise 0: Preparation Exercise 1: Square Roots Exercise 2: Simple Subtraction Exercise 3: Simple Multiplication Exercise 4: Extend
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Fundamentals of CS I (CS151 2001S)Laboratory: Input and OutputSummary: In this laboratory, you will experiment with the use and application of some of Scheme's basic input and output procedures. Procedures Covered: read, write, and display. Contents Exe
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Fundamentals of CS I (CS151 2001S)Symbols and ListsSymbols Constructing Lists with Cons Constructing List Literals Creating Lists with list Nested Lists Taking lists apart Common list procedures length reverse append list-refSymbolsWhile your initial
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Fundamentals of CS I (CS151 2001S)Laboratory: More Higher-Order ProceduresExercise 1: Insertinsert is a procedure which takes two parameters, a binary procedure and a list, and gives the result of applying the procedure to neighboring values. There are
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Fundamentals of CS I (CS151 2001S)Numbers in SchemeWhile Scheme excels at symbolic and list processing, it is also quite capable of doing numeric computation. Scheme provides a variety of procedures for dealing with a variety of categories of numbers. P
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Fundamentals of CS I (CS151 2001S)Boolean Values and Predicate ProceduresA Boolean value is a datum that reflects the outcome of a single yes-or-no test. For instance, if one were to ask Scheme to compute whether the empty list has five elements, it wou
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Fundamentals of CS I (CS151 2001S)Characters and StringsCharacters Characters in Scheme Collating Sequences Handling Case More Character Predicates Strings String Procedures Appendix: Representing Characters ASCII Unicode A character is a small, repeata
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Fundamentals of CS I (CS151 2001S)CGI Scripting in SchemeThe Basic Steps Stage One: Prepare a Scheme Procedure Stage Two: Extend Scheme File Stage Three: Build CGI Wrapper Stage Four: Build HTML Interface Stage Five: Put it all together A Sample Procedu
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Fundamentals of CS I (CS151 2001S)Pairs and Pair StructuresBox-and-pointer diagrams Pairs that are not lists A Pair Predicate Recursion with pairs As we have seen, Scheme uses cons to build lists. As you may recall, cons takes two arguments. Up to this
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Fundamentals of CS I (CS151 2001S)Recursion with Natural NumbersWhile the recursive procedures weve written so far have used lists as arguments, we can also write recursive procedures with numbers as arguments. Like lists, natural numbers have a recursi
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Fundamentals of CS I (CS151 2001S)Association ListsRepresenting Databases assoc, Scheme's built-in lookup procedure Extracting Information Using More Complex Records Using Other Keys Related Procedures Consider the organization of a simple telephone dir
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University of Toronto - CSC - 228
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University of Toronto - CSC - 228
# First, decode Test_Input1.txt[strider@layer A1]\$ decode Test_Input1.txt Test_Output1.txt Code_Matrix5.txtDecoding file Test_Input1.txtto file Test_Output1.txtCode matrix is in: Code_Matrix5.txtCorrected 0 bits.Found 0 unrecoverable errors.# Check
University of Toronto - CSC - 228
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University of Toronto - CSC - 228
University of Toronto - CSC - 228
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
University of Toronto - CSC - 228
000000000000000000000001000000000101000101010101010101010101010100100011001100110011101100110011001001100110011001100110011001100001111100001101000011110000111101011011110110100101101001011010001111011011110000111100001001000110100101101001011010010111110
University of Toronto - CSC - 228
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University of Toronto - CSC - 228
University of Toronto - CSC - 228
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University of Toronto - CSC - 228
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University of Toronto - CSC - 228
f4K2O cliff a8Sodium plain g7MnO CO2 ice f7FeO cliff f5Chromium cliff h8TiO2 plain i6SiO2 plain b6Potasium soft sand c6H2 CO2 ice f3MgO CO2 ice a1NaCl dune a2Chloride rocky h3K2O plain f1FeO CO2 ice e8Calcium so
University of Toronto - CSC - 228
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University of Toronto - CSC - 228
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