Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.
1 Page
a9
Course: M 231, Fall 2009School: University of Texas
Rating:
Word Count: 140
Document Preview
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...
Unformatted Document Excerpt
Coursehero >> Texas >> University of Texas >> M 231Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
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...
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
Course Hero has millions of course specific materials providing students with the best way to expand
their education.
Below is a small sample set of documents:
Below is a small sample set of documents:
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
Solution Keys to Quiz 6 1. (10 pt) Change from the rectangular coordinate (0, 1, 1) into spherical coordinate. Solution: Let (, , ) is the spherical coordinate. Then = x2 + y 2 + z 2 = cot = So may be in the region [0, 2] or 2 negative part of y axis. The
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
Lake County - IB - 335
Integrative Biology 335Introduction to PollinationThere are two critical stages in the life cycle of a flowering plant: 1. Pollinationthe transfer of pollen from anther to stigma, usually most effective on a different plant. As we saw in the lecture on
Virginia Tech - BSESRV - 214
Surface Mining Remediation Utilizing Vertical Flow Wetlands and Engineered SoilsMatthew Gloe, Christian Bongard, Gil BrownBiological Systems Engineering, Virginia TechIntroduction and Problem StatementDuring coal mining, waste from coal processing is
UConn - MATH - 102
Math 102 Sections 1 and 3 Final Exam ReviewAs you know, the final exam will be held on Tuesday, May 6, from 10:30-12:30 in CLAS 110. The exam will consist of six questions, possibly consisting of multiple parts, and a bonus opportunity. Each question wil
UPEACE - AMC - 140
<?xml version="1.0" encoding="UTF-8"?> <Error><Code>NoSuchKey</Code><Message>The specified key does not exist.</Message><Key>a6adb6ff49807d20ac6667a3b1132b696ec7aa4b.ps</Key><RequestId>C3 0402F90CB12A0C</RequestId><HostId>xhxlFCuc2f2c+9Yz6FVECeW/WoGTlQEP+
National Taiwan University - MATH - 254
RECITATION POLICYMATH 254 - AUTUMN 2000Your TA name: Cosmin ROMAN office: Math Tower (MW) 529 phone: 292-1923 e-mail: cosmin@math.ohio-state.edu dedicated homepage: www.math.ohio-state.edu/ cosmin/Math254 country of origin: Romania (more exactly . Trans
Lake County - ECE - 462
ECE 462 Logic DesignHomework 8 Hint BDD with complemented edgesWhen BDDs with complemented edges are constructed, there can be several possibilities of having complemented edges. To maintain canonicity (and thus a unique representation), a rule is follo
FIU - TCN - 5445
CS 498 Lecture 17 TCP Implementation in LinuxJennifer Hou Department of Computer Science University of Illinois at Urbana-ChampaignReading: Chapter 24, The Linux Networking Architecture: Design and Implementation of Network Protocols in the Linux Kernel
Lake County - CS - 554
Overlapping Subdomains Non-Overlapping Subdomains Computing with Grids Multigrid Scalability Estimates for PDE Solution Fault Detection and ToleranceParallel Numerical AlgorithmsChapter 15 Partial Differential EquationsProf. Michael T. HeathDepartment
gei - EDU - 512
Azusa Pacific University School of Education and Behavioral Studies Department of Advanced Studies Masters of Arts in Educational Technology And LearningEDUC 512Educational Applications of Productivity SoftwareRichard Geib, M.EDCLASS WEBSITEhttp:/hom
National Taiwan University - AEDE - 401
AED Economics 401 Principles of Agribusiness Management Spring Quarter, 2007Instructor: Dr. Marvin T. Batte 333 Agricultural Administration Building 2120 Fyffe Rd. Columbus, OH 43210-1067 Phone: 614-292-6406 (Leave message on voice-mail if I am unavailab
University of Toronto - CSC - 2519
Scribed Notes for 10-24-07Class cancelled next week.DISCOURSE REPRESENTATION THEORY-> DRT is a kind of algebra for interpreting discourses as opposed to sentences. Sentences are no longer the scope over which an interpretation is calculated. -> Discou
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Conditional EvaluationWhen Scheme encounters a procedure call, it looks at all of the subexpressions within the parentheses and evaluates each one. Sometimes, however, the programmer wants Scheme to exercise more discre
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Comments in SchemePrograms are intended to be read both by people and by computers. Because people understand much richer and more flexible notations than computers - real languages, as opposed to the extremely limited
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
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
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Preconditions and PostconditionsProcedures as Contracts Generating Explicit Errors Husks and Kernels Documentation Several of the Scheme procedures that we have written or studied in preceding labs presuppose that their
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Naming Values with Local BindingsRedundant Work Let Sequencing Bindings with let* Local Procedures So far we've seen three ways in which a value can be associated with a name in Scheme: The names of built-in procedures,
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)VectorsIntroduction Indexing Mutating Displaying Vectors DrScheme's Display Variations Vector Procedures vector make-vector vector? vector-length vector-ref vector-set! vector->list and list->vector vector-fill! Impleme
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Randomness and SimulationIntroduction The random Procedure Simulating a DieIntroductionMany computing applications involve the simulation of games or events, with the hope of gaining insights and identifying underlyin
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Local Procedure Bindings and RecursionIntroduction Local Procedure Bindings A Problem: Recursive Procedure Bindings A Solution: letrec Husk-and-Kernel with Local Kernels An Alternative: The Named letIntroductionAs you
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Tail RecursionSummary: How to make your recursive procedures run more quickly by taking advantage of a program design strategy called tail recursion.Recursive StrategiesIn writing recursive procedures, you may have no
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Procedures that Return Multiple ValuesWhen we invoke any of the procedures that we have discussed so far in the course, we get back a single result. However, there are many computations that we can describe most natural
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Variable-Arity ProceduresA procedure's arity is the number of arguments it takes. For instance, the arity of the cons procedure is 2 and the arity of the predicate char-uppercase? is 1. You'll probably have noticed that
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)SortingThe Problem of Sorting The Insertion Sort algorithm Inserting Elements Inserting Elements, Revisited Insertion Sorting, Continued Sorting a VectorThe Problem of SortingSorting a collection of values - arranging
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Merge SortSummary: In a past reading and the corresponding laboratory, we've explored the basics of sorting using insertion sort. In this reading, we turn to another sorting algorithm, merge sort.The Costs of Insertion
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)RecordsIn our exploration of Scheme, we've seen a number of data structures that allow us to organize data. A list is a dynamic data structure with a variable number of components. A vector is a data structure with a fi
Grinnell College - CSC - 151
Fundamentals of CS I (CS151 2001S)Object-Oriented ProgrammingRecords, RevisitedAs you may recall, one of the key issues in the design of records is that the record designer have some control over the use of records. In particular, the designer might wa
Bethel VA - CHE - 400
ProjectChE 400 Applied Chemical Engineering Calculations Fall 2007 Project Due 11/09/07 General Comments 1. As explained in the syllabus you will need to write a report in the format of a technical memorandum about your project. Examples of how to write
University of Toronto - CSC - 228
000000000000000000000000000000000101010101010101010101010101010100110011001100110011001100110011011001100110011001100110011001100000111100001111000011110000111101011010010110100101101001011010001111000011110000111100001111000110100101101001011010010110100
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
000000100000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
University of Toronto - CSC - 228
University of Toronto - CSC - 228
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
University of Toronto - CSC - 228
000000000000000000000001000000000101000101010101010101010101010100100011001100110011101100110011001001100110011001100110011001100001111100001101000011110000111101011011110110100101101001011010001111011011110000111100001001000110100101101001011010010111110
University of Toronto - CSC - 228
000000000000000000000000000000000101010101010101010101010101010100110011001100110011001100110011011001100110011001100110011001100000111100001111000011110000111101011010010110100101101001011010001111000011110000111100001111000110100101101001011010010110100
University of Toronto - CSC - 228
University of Toronto - CSC - 228
a0Actinum canyon a0Al2O3 canyon a0Beryllium canyon a0Boron canyon a0CH3 canyon a0CO2 canyon a0Cadmium canyon a0Calcium canyon a0Carbon canyon a0Cesium canyon a0Gallium canyon a0Germanium canyon a0Gold canyon a0H2 c
University of Toronto - CSC - 228
c7magnetite soft sand g2MgO dune h9Chloride plain e7H2 CO2 ice b1SO3 CO2 ice b4FeO soft sand g5MnO rocky h2magnetite moving sand b2Lead rocky g9magnetite rocky e6MnO dune d3Potasium cliff c8Calcium crevasse d4CO2 d
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
Implicit Type Conversion With Operator OverloadingC provides implicit type conversion: int j; double a,b; a = b + j; Additional are: examples of implicit type conversionschar -> short short -> int int -> long long -> float float -> double C+ extends the
University of Toronto - CSC - 228
Pointers and Dynamic Memory Management There are two main areas in memory that our program can use to store information: - The stack, which is handled automatically and stores local variables - The heap, which is handled by your program, and can store inf
University of Toronto - CSC - 228
Operator OverloadingAllows the programmer to define the way that operators will work with user defined types (classes).- Only apply to user defined types- If not used carefully can cause obfuscation!General Considerations- At least one operand must b