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# building web api with asp.net core mvc pdf : Add pdf files together online Library application component .net html windows mvc MapleTAUserGuide28-part1057

<br>(a) What is s its s momentum?
<br>(b) What is s its s kinetic energy?
@
9.6 m/s; 46.08 J
@
Theplain-textscriptforthisquestion,createdalgorithmically,is:
qu.1.1.mode=Multipart Formula@
qu.1.1.algorithm=
$m=decimal(1,rand(0.5, 1.0));$v=decimal(0,rand(10,
15));
$ansa=decimal(2,($m*$v));$ansb=decimal(2,(1/2)*$m*$v^2);
@
qu.1.1.question=
A ball of mass $m kg g is s thrown n at t a a speed d of$v m/s.
<br>(a) What is s its s momentum?
<br>(b) What is s its s kinetic energy? ? @
qu.1.1.answer= $ansa;$ansb@
qu.1.1.comment=
$ansa kg g m/s s is its momentum.<br>$ansb J is its kinetic energy.
@
• Thevariablesarerepresentedbyalphanumericnamesthatmuststartwitha$followedbyanalphanumeric sequencethatconsistsofatleastoneletter. • Theﬁrstcharacterinthenameofthevariablemustbealetter(notanumber). • Variablesaredeﬁnedinaseriesofstatementsresemblingequationsoftheform:$variable=<formula>;
• Eachvariabledeﬁnitionisseparatedbyasemicolon(theﬁnalsemicoloninaseriesofvariabledeﬁnitionsis
optional).
• Thesyntaxoftheformulaissimilartothestandardgraphingcalculatorsyntaxusedthroughoutbythesystem,
Inthisquestion,therandomizedvariablesaremass,$m,whichvariesbetween0.5and1.0andvelocity,$v,which
variesbetween10and15.Thedecimalargumentisusedtotruncatethevaluesofthenumericvariabledata.
SeeAlso:
OverviewofAlgorithmicQuestionCapabilities(page237)
10.24Tutorial:List-basedVariables
Youcanusethealgorithmicsyntaxtomanagemultiplescenariosorsetsofrandomizeddatainquestions.Usinglist-
basedvariables,youcanusethesamequestionstatementbutsubstitutecorrespondingsetsofdatathroughoutthe
10.24Tutorial:List-basedVariables • • 261
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Example
Considerthecaseinwhichyouwanttocreateachemistryproblemthatusesoneofseveralsetsorscenariosofdata
ofthedistinctelements.
Tocreateasingleproblemthatrandomlychoosesanelementandsubstitutesitsindividualizedpropertiesintothe
(a)SingleIndexCasewithSixteenScenarios
1. Useasinglevariable$kasanindex.$k=rint(15);
2. Createindividualvariablesfortheﬁrstrelatedpropertyofeachofthesixteenscenarios.Inthiscase,theﬁrstrelated
propertyisanimageﬁledepictingthemolecularstructure.Createanewvariable$molecule1 thatusestheindex toselecttheappropriateindexeddatavalue(inthiscase,thecorrectimage).$molecule1x00="<img src=../classes/myclass/chap15/image01.gif>";
$molecule1x01="<img src=../classes/myclass/chap15/image02.gif>";$molecule1x02="<img src=../classes/myclass/chap15/image03.gif>";
...
$molecule1x15="<img src=../classes/myclass/chap15/image16.gif>";$molecule1=switch($k,$molecule1x00, , $molecule1x01, ,$molecule1x02, , ... ,$molecule1x15); 3. Deﬁnethesecondrelatedpropertyforeachscenario.Createanewvariablethatusestheindextoselecttheappro- priateindexeddatavalue.$property1x00="value...";
$property1x01="value..."; ...$property1x15="value...";
$property1=switch($k, $property1x00,$property1x01,
... , $property1x15); 4. Deﬁneadditionalrelatedpropertiesforeachscenario,andthenselect(usingtheindex)andassigntheappropriate valuestonewvariables. 5. Theﬁnalsetofvariablesistheanswerﬁeld(assumingthateachdifferentcasehasadifferentanswer).Selectthe appropriateanswerusingtheindex.$ans00=50;
$ans01=16; ..$ans15=3.6;
$ans=switch($k, $ans2x00, .. . , ,$ans2x15);
(b)MultipleIndexCase
Itmaybethecasethatyourquestionrequiresmultipleindexestoyourdata.Considertheabovecasewithonlyfour
elements(molecule1tomolecule4),whereforeachelementtherearefourindividualizedsetsofproperties.
Assumethatyouhavefourimagesofmolecules.Toavoidredundancy(because molecule1hasonlyfourvalues,
buttherearesixteenscenarios),usetwoindices.Theﬁrstindex,$i,determinestheelementandimage.Thesecond index,$k,determinesthescenario.Dependingonthevalueof$i,thevalueof$kisinoneofthefourranges:0-3,
4-7,8-11,or12-15.Byusing$k,$property1(andotherproperties,and$ans)matchwiththeappropriatemo- lecule1.Toimplementthis,usethefollowingstatements. 262 • 10AuthoringMathematicalQuestions C# Word - Merge Word Documents in C#.NET empowers C# programmers to easily merge and append Word files with mature input Word documents can be merged and appended together according to Add references: asp.net merge pdf files; pdf combine pages C# PowerPoint - Merge PowerPoint Documents in C#.NET together according to its loading sequence, and then saved and output as a single PowerPoint with user-defined location. C# DLLs: Merge PowerPoint Files. Add add pdf together one file; reader merge pdf$i=rint(4);
$j=rint(4);$k=4*i+j;
$molecule1x0="...";$molecule1x1="...";
$molecule1x2="...";$molecule1x3="...";
$molecule1=switch($i, $molecule1x0, ,$molecule1x1,..);
$property1x00="..";$property1x01="..";
..
$property1x15="..";$property1=switch($k,$property1x00, .. , $property1x15);$ans00=50;
$ans01=16; ..$ans15=3.6;
$ans=switch($k, $ans2x00, .. . , ,$ans2x15);
SeeAlso:
switch(n,a,b,c,...)(page252)
10.25Tutorial:Maple-basedAlgorithmicQuestionAuthoring
Algorithmicallygeneratedvariablesareusedtogeneraterandomnumbersinquestionsandcreatemultiplepermutations
ofquestionsfromasingletemplate.
YoucanuseeitherMapleT.A.orMapletogeneratealgorithmicvariables.Youcanuseeither(orboth)typesofvariables
inanyquestiontype.
ThesyntaxforaMaple-basedvariabledeﬁnitionis:
<variable_i>=maple("<Maple_command>");
UsingaTextorHTMLEditor
Todeﬁneanalgorithmicvariableintheplain-textscriptﬁle,specifyvariabledeﬁnitions(orothervariablecontrol
sequences)inthealgorithmﬁeld.
algorithm=
<variable_definition_1>
...
<variable_definition_n>
@
UsingtheQuestionEditor
IntheQuestionEditor,deﬁnevariablesbydirectlyenteringMaple-basedvariabledeﬁnitionsonthealgorithmscreen
orusingtheAlgorithmDesigner.
Tutorial1
ThefollowingtutorialshowshowtoconvertastaticMapleFormulaquestiontoanalgorithmicallygeneratedquestion
byusingvariablesassignedvaluesbyMaplecommands.
10.25Tutorial:Maple-basedAlgorithmicQuestionAuthoring • • 263
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qu.1.1.question=Enter an n anti-derivative e of x^3.@
qu.1.1.maple=evalb(diff($RESPONSE,x)=x^3)@ qu.1.1.type=formula@ qu.1.1.mode=Maple@ qu.1.1.allow2d=1@ qu.1.1.name=Maple AntiDerivative@ qu.1.1.comment=Any function of the e form x^4/4 4 + C, where C is a constant, is an anti-derivative of x^3.@ qu.1.1.editing=useHTML@ Notes: 1. ThisquestionusesMapletoverifythatthederivativeofthestudentresponseisequaltox^3.Thisisrecommended inplaceofcomparingthestudentresponse,whichcanhaveanadditiveconstant,withtheintegralofx^3,thatis evalb($RESPONSE=int(x^3,x)).
questions,ifthereisnocommentﬁeld,thesystemreturnsthemessageComment:Nofeedbackprovidedwith
thisquestion.
Tochangethisquestiontoanalgorithmicquestion,usethefollowingplain-textscriptquestiondeﬁnition.
qu.1.2.question=Enter an n anti-derivative e of x^$exponent +${coeff}x.@
qu.1.2.maple=evalb(diff($RESPONSE,x)=x^$exponent+$coeff*x)@ qu.1.2.type=formula@ qu.1.2.mode=Maple@ qu.1.1.allow2d=1@ qu.1.2.name=Maple AntiDerivative@ qu.1.2.comment=Any function of the e form$answer r + + C, , where C is a constant, is an
anti-derivative of x^$exponent +${coeff}x.@
qu.1.2.editing=useHTML@
qu.1.2.algorithm=$exponent=maple("randomize():rand(2..5)()");$coeff=maple("randomize():rand(2..9)()");
$answer=maple("int(x^$exponent+$coeff*x,x)"); @ Notes: 1. Youmustfollowthevariablenamingconventions. 2. ForalistoftheguidelinesforMaplecommandsinMaple-basedvariables,seeTheAlgorithmDesigner(page81). 3. Thevariable$exponentisassignedavaluecalculatedbyMapleusingtherandfunction.
rand()returnsarandom12-digitpositiveinteger
rand(a)()returnsarandomintegerintherange0 ... a-1(inclusive)
rand(a..b)()returnsarandomintegerintherangea ... b(inclusive)
ForinformationonotherMaplecommands,seeyourMapledocumentation.
4. TheMaplecommand:
randomize():
ize():commandineveryMaple-basedvariabledeﬁnition.Thatis,itisrequiredinthedeﬁnitionof$exponent and$coeff.
5. TheMaplecommand:
int(x^$exponent,x) calculatesthecorrectanswer,whichisdisplayedusingthecommentstatementifthestudentresponseisincorrect. 264 • 10AuthoringMathematicalQuestions C# TIFF: TIFF Editor SDK to Read & Manipulate TIFF File Using C#. 2. How to add and implement Tiff imaging functions in your C# project. 2. Word/Excel/PPT/PDF/Jpeg to Tiff conversion. 2. Merge and append Tiff files using combine pdf; batch pdf merger online C# Excel - Merge Excel Documents in C#.NET and appended together according to its loading sequence, and then saved and output as a single Excel with user-defined location. C# DLLs: Merge Excel Files. Add append pdf; batch merge pdf 6. TheexamplesinTutorial1canbeconvertedtoMapleSyntaxquestionsbychangingthetypeﬁeldvaluefrom formulatomaple,andchangingallow2d to0fortext-entrymode.ForMapleSyntaxquestions,itisrecom- mendedthatyouattempttopreventastudentfromcalculatingthecorrectanswerusingMaplecommands.Formore information,seeUsingMapleCodetoPreventCheatinginMapleSyntaxQuestions(page207). Foranexampleplain-textscriptthatdeﬁnesaMaplequestionwithMapleplottingofthestudentresponse,seePlotting aStudentResponse(page209). Tutorial2 YoucanalsouseMaple-basedalgorithmicvariablesinotherquestiontypes. FormulaQuestion Thefollowingplain-textscriptdeﬁnesaFormulaquestionthatusesMaple-basedvariables. qu.1.3.question=What is the sum of f$a a and $b?@ qu.1.3.mode=Formula@ qu.1.3.name=Maple-based Variables in Formula@ qu.1.3.answer=$answer@
qu.1.3.editing=useHTML@
qu.1.3.algorithm=$a=maple("randomize():rand(100..200)()");$b=rint(10,50);
$answer=int($a+$b); @ Notes: 1. ThisquestionusesbothMaple-based(for$a)andMapleT.A.randomvariables(for$b). 2. Whenreferencingnegative,randomvariablesinamaplevariabledeﬁnition,besuretoplacethenegativevariable inparentheses,otherwiseanerrormessagewillreturn.$c=maple("$a + ($b)");
SeeAlso:
MapleSyntaxQuestionExampleScript(page313)
QuestionswithPlots(page168)
10.25Tutorial:Maple-basedAlgorithmicQuestionAuthoring • • 265
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266 • 10AuthoringMathematicalQuestions
11AuthoringQuestionsinLaTeX
11.1LaTeXAuthoringOverview
YoucanauthorandeditallquestiontypesusingLaTeXtogenerateplain-textscriptﬁles.
renderedplotsinquestions,algorithmicallygeneratedlabelsinﬁgures,matrices,anddynamicgraphsketching).For
thesequestions,youcanuseplaintextscriptﬁlesorLaTeX.
ItisrecommendedthatyouwriteandeditquestionbanksusingLaTeXonlyifyouareanexperiencedLaTeXuser.
Otherwise,itisrecommendedthatyoueditscriptﬁlesusingatextorHTMLeditororusetheQuestionEditor.
Requirements
TouseLaTeXtoauthorMapleT.A.questionbanks,youneed:
tp://www
.maplesoft.com/pr
oducts/mapleta/latex2ta/index.aspx
andputitinthesamelocationasyourother
LaTeXstyleﬁles.
AuthoringProcess
ToauthorinLaTeX:
1. WriteyourquestionbankinLaTeXusingatexteditor.
2. RunLaTeXonyourtextﬁles.Previewtheoutputtoensureitiscorrect.
Youmayperformmultipleiterationsofthesteps1and2.
3. Usetheweb-basedconversionserviceathttp://latex2ta.mapleserver
.com
toconvertyourLaTeX-formatquestion
ﬁletoMapleT.A..quformat.
select"Yes,IamusingMapleT.A.6ServicePack1orlater."Whenthisboxisselected,theLaTeXconverter
generatesuniqueidentiﬁersforthequestionsandinsertsthemintoyourLaTeXﬁleandintothegeneratedQUﬁle.
TheconverterreturnstheupdatedversionofyourLaTeXﬁletogetherwiththegeneratedQUﬁleasaTARarchive.
UsetheupdatedLaTeXﬁleforfuturemodiﬁcations.ThisallowsyoutoupdatequestionswithinMapleT.A.
4. Importandsavethequestionbank(QUﬁle)inyourMapleT.A.class.(SeeOpeningaSavedQuestionBank
File(page139).)
11.2LaTeXQuestionBankDocumentStructure
Questionsaregroupedintotopics.UsetheLaTeXtopicenvironmenttomarkthebeginningandendoftopics.
Eachquestioniswrappedinsideaquestionenvironment.TheMapleT.A.questiontypemustbeprovidedasanargument
totheopeningstatement.
Youcanincludeanynumberofquestions.TheexampleformatinTable11.1showsonetopiccontainingtwoquestions.
asusual.
Toincludegraphics:
267
http://.../web/<class>/Public_Html/<folder>/...
2. Insertthe\setImageBasedirectivenearthetopoftheLaTeXﬁletospecifythepathtothislocation.Forexample,
ifyourMapleT.A.classidentiﬁerismyclass,andyourgraphicsfolderisImages,usethedirective:
\setImageBase{web/myclass/Public_Html/Images}
Table11.1:ExampleLaTeXDocumentStructure
\documentclass[12pt]{article}
\usepackage{ed}
% Optionally set the e location n for graphics files on the e Maple e T.A. system.
\setImageBase{...}
\begin{document}
\begin{topic}{topicname}
\begin{question}{question type}
...
\end{question}
\begin{question}{question type}
...
\end{question}
\end{topic}
\end{document}
11.3QuestionStructure
Table11.2givesthebasicstructureforaquestion.
Table11.2:BasicLaTeXQuestionStructure
\begin{question}{question type}
\name{question name}
\property{name1}{value1}
\property{name2}{value1}
\hint{first hint}
\hint{second hint}
\comment{feedback text}
\qutext{question text}
...
\end{question}
AvailableFieldsinLaTeXQuestions
Allquestionscanbegivenaname,hints,acomment,andasetofproperties.
• The\nameﬁeldisusedasanidentiﬁerforaquestion.Itisrecommendedthatyouassignanametoevery
question.Thiswillhelpyoutoidentifyquestionswhencreatingassignmentsfromyourquestionbank.
• The\hintﬁeldprovideshintsforthequestion.Therecanbemorethanone\hintstatement.
• The\propertyﬁeldtakestwoarguments.Theﬁrstisthenameoftheproperty.Thesecondisitsvalue.You
canchooseanyusefulname.Therecanbemorethanone\propertystatement.WhenconvertedtotheMaple
T.A.formatﬁles,propertiesareconvertedtoinformationﬁelds.
268 • 11AuthoringQuestionsinLaTeX
Example
\begin{question}{formula}
\name{p65, qu14}
\qutext{Differentiate $x e^x$.}
\comment{Use the product rule to differentiate this formula. . The e answer
is $x x e^x x + e^x=(x+1)e^x$.}
\hint{Use the product rule.}
\property{author}{I. M. . Prof}
\property{difficulty}{medium}
% The e 'author' ' and 'difficulty' property y names s are
% examples. You u can n create property y names s as required.
\end{question}
Othermacrosinclude:
• \code - Tospecifyalgorithmicstatements,usethe\codecommand.Forexample:
\code{
$m=rint(7);$n=int(2*$m+3); } • \var-TouseasystemalgorithmicvariableinLaTeX,donotspecifythe$,butinsteadenclosethenamein
a\var{}command.Forexample,todisplaythevariable$ninthequestionstatement,use: \qutext{What is the exact value of$\sin(\frac{\var{n}\pi}{4})$?} Formoreinformation,seeTutorial:UsingAlgorithmsinLaTeXQuestions(page284). Inaddition,eachquestiontypehasitsownsetofLaTeXmacrosfordeﬁningpropertiesofthattypeofquestion. SeeAlso: OverviewofAlgorithmicQuestionCapabilities(page237) TheinfoField(page146) 11.4LaTeXStyleSheets TheMapleT.A.LaTeXmacroscanbeusedonarangeofplatformsandwithavarietyofTeXimplementations.To determinewheretosaveyourstylesheets(.styﬁles),refertoyourLaTeXdocumentation. 11.5BasicQuestionTypesinLaTeX True-or-FalseQuestionsinLaTeX QuestionMode:TrueFalse TheTrueFalsequestiontypecreatesaquestionandalistoftwochoices:TrueandFalse. Example1 \begin{question}{True False} \qutext{Whales are mammals.} % Mark the e answer r \true or \false: \true \end{question} Example2 \begin{question}{True False} \qutext{The equation n$2x-3y^2=4 defines s a a function with an independent
11.4LaTeXStyleSheets • • 269