Maple T.A. User Guide - Maplesoft

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$Primarily Math Cohort 4 Omaha Teachers$

viii • Contents Response Area Properties .......................................................................................................... 193 Insert Algorithm ...................................................................................................................... 198 9.18 Short Phrase Questions ........................................................................................................... 199 Question Mode: short phrase ..................................................................................................... 199 9.19 True-or-False Questions .......................................................................................................... 199 Question Mode: True False ........................................................................................................ 199 9.20 Advanced Question Types ....................................................................................................... 199 10 Authoring Mathematical Questions .................................................................................................. 201 10.1 Authoring Mathematical Questions ........................................................................................... 201 Fundamental Capabilities .......................................................................................................... 201 Mathematics Question Types ..................................................................................................... 201 10.2 Basic Math Syntax in the System .............................................................................................. 202 Writing Mathematical Expressions .............................................................................................. 202 Variable Names ....................................................................................................................... 202 Operator and Function Syntax .................................................................................................... 202 10.3 Understanding the Math Capabilities in the System ...................................................................... 203 10.4 Student Responses and Grading ................................................................................................ 204 Student Responses ................................................................................................................... 204 Controlling Answer Format in Numeric Questions ......................................................................... 204 Controlling Answer Tolerance .................................................................................................... 205 Setting a Margin of Error in Non-numeric Questions< .................................................................... 206 Significant Digits in Maple Questions ......................................................................................... 206 Using Maple Code to Prevent Cheating in Maple Syntax Questions ................................................... 207 Entering Chemistry Expressions ................................................................................................. 207 Plotting a Student Response ....................................................................................................... 209 10.5 Using Formula Syntax ............................................................................................................ 209 10.6 Using the Equation Editor to Create Formatted Math Expressions ................................................... 210 Editing with the Equation Editor ................................................................................................. 210 Equation Editor Palette ............................................................................................................. 211 Equation Editor Requirements and Syntax .................................................................................... 213 10.7 Using MathML to Create Formatted Math Expressions ................................................................. 216 Inline Display of Formatted Math Expressions .............................................................................. 216 MathML Authoring with MathType ............................................................................................ 217 MathML in the Questions ......................................................................................................... 218 Simplified Math Expressions ..................................................................................................... 219 10.8 Plotting Using Maple ............................................................................................................. 221 Displaying a Maple Plot ............................................................................................................ 221 10.9 Mathematical Functions & Operations ....................................................................................... 224 10.10 Using a Table of Units .......................................................................................................... 225 Default Table of Physical Unit Equivalents ................................................................................... 225 Custom Table of Equivalent Units ............................................................................................... 231 10.11 Tutorial: Displaying Answers vs. Formulas for Answers .............................................................. 232 Displaying the answer Field Formula: ......................................................................................... 232 Displaying the Calculated Final Answer: ...................................................................................... 232 Displaying Both the Formula for the Answer and the Final, Calculated Answer: .................................. 233 10.12 Tutorial: Formatting Integers and Reals .................................................................................... 234 10.13 Tutorial: Setting Margin of Tolerance in Non-numeric Questions .................................................. 235 Absolute Errors ....................................................................................................................... 235 Percentage Errors .................................................................................................................... 235 Algorithmic Variables ............................................................................................................... 236 Using the ? Operator in Complex Expressions ............................................................................... 236 10.14 Overview of Algorithmic Question Capabilities ......................................................................... 237 10.15 How Does an Algorithmic Question Work in an Assignment? ....................................................... 237 Authoring .............................................................................................................................. 237
Contents • ix Assignment Creation ................................................................................................................ 238 Assignment Use ...................................................................................................................... 238 10.16 Working with Variable Data ................................................................................................... 238 Types of Variables .................................................................................................................. 238 Functions within Algorithms ...................................................................................................... 239 Inline Variable Expressions ....................................................................................................... 240 Rules for Naming Variables ....................................................................................................... 240 10.17 Generating Random Numbers in Questions ............................................................................... 241 10.18 Functions and Arguments ...................................................................................................... 242 condition:x ............................................................................................................................. 242 decimal(n, x), sig(n, x), int(x) .................................................................................................... 242 eq(a, b), ge(a, b), le(a, b), ne(a, b) ............................................................................................... 243 fact(n) ................................................................................................................................... 243 frac(a, b) ................................................................................................................................ 244 gcd(a, b) ................................................................................................................................ 244 gt(a, b), lt(a, b) ........................................................................................................................ 244 if(a, b, c) ................................................................................................................................ 244 indexof(k, a, b, c, d, ...) ............................................................................................................. 245 java(cn, a, b, c, d, ...) ................................................................................................................ 245 lsu(n, x) ................................................................................................................................. 245 maple(text) ............................................................................................................................. 245 mathml(f) ............................................................................................................................... 246 max(a, b, c, d, ...), min(a, b, c, d, ...) ............................................................................................ 246 not(a) .................................................................................................................................... 247 numfmt(fmt, x) ....................................................................................................................... 247 plotmaple(text) ....................................................................................................................... 247 rand(m, n), rand(m, n, k) ........................................................................................................... 248 Random Integer Generation range(n), range(m, n), range(m, n, k) ..................................................... 248 rank(n, a, b, c, d, ...) ................................................................................................................. 249 Random Integer Generation rint(n), rint(m, n), rint(m, n, k) ............................................................. 249 Statistical Operations ............................................................................................................... 250 strcat(a, b, c, d, ...) ................................................................................................................... 251 sum(varname, start, stop, expr) ................................................................................................... 252 switch(n, a, b, c, ...) .................................................................................................................. 252 10.19 Mathematical and Logical Operators in Algorithms and Answers .................................................. 252 Unreserved Operations ............................................................................................................. 252 Reserved Operations ................................................................................................................ 253 10.20 Question Chaining Variables .................................................................................................. 253 Example ................................................................................................................................ 253 10.21 Setting Plot Options ............................................................................................................. 255 2-D Plot Statement Options ....................................................................................................... 255 3-D Plot Statement Options ....................................................................................................... 256 10.22 Details on Using Algorithmic Variables .................................................................................... 258 The Answer Field Evaluation and Requirements ............................................................................ 258 Controlling Display of Numbers within Questions ......................................................................... 259 Variables within Variable Statements ........................................................................................... 259 Displaying the $ (Dollar Sign) in Questions .................................................................................. 259 Displaying the Backslash Symbol in Questions ............................................................................. 260 Text Strings in Variable Statements ............................................................................................. 260 10.23 Tutorial: Algorithmic Question ............................................................................................... 260 10.24 Tutorial: List-based Variables ................................................................................................. 261 Example ................................................................................................................................ 262 10.25 Tutorial: Maple-based Algorithmic Question Authoring .............................................................. 263 Using a Text or HTML Editor .................................................................................................... 263
Page 1 and 2: Maple T.A. User Guide Copyright ©
Page 3 and 4: Contents Preface ..................
Page 5 and 6: Contents • v 6.3 Deleting Student
Page 7: Contents • vii Maple-graded Quest
Page 11 and 12: Contents • xi Key Word or Phrase
Page 13 and 14: List of Figures Figure 1.1: System
Page 15 and 16: List of Tables Table 1.1: System Mo
Page 17 and 18: Preface Overview of the Instructor
Page 19 and 20: • The updated math engine takes a
Page 21 and 22: 1 Getting Started 1.1 How the Syste
Page 23 and 24: Gradebook • View individual and c
Page 25 and 26: Figure 1.2: Class Homepage with Ass
Page 27 and 28: 2 Creating and Managing Classes 2.1
Page 29 and 30: Create a Child Class In addition to
Page 31 and 32: Locking Class Registration Class Ro
Page 33 and 34: To register users using search crit
Page 35 and 36: Figure 2.2: Proctor Tools For a lis
Page 37 and 38: Deleting a Proctor To delete a proc
Page 39 and 40: Deleting Subfolders To delete a sub
Page 41 and 42: 3 Creating and Managing Assignments
Page 43 and 44: See Also: It is possible to force g
Page 45 and 46: Restoring a Hidden Assignment To ma
Page 47 and 48: Step 2: Select Questions for the As
Page 49 and 50: Figure 3.3: Add Questions to Assign
Page 51 and 52: • Show current grade at top of as
Page 53 and 54: Figure 3.11: Restrict Access to Spe
Page 55 and 56: Table 3.1: Assignment Attributes As
Page 57 and 58: Graded assignment reports are produ
Page 59 and 60:
3.4 Details on Using the Assignment
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Merge Questions into Question Group
Page 63 and 64:
Configuring Question Weighting By d
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Notes: Some caution should be used
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Assignment Visibility Clearing the
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Limiting Student Access to Assignme
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4 Working with the Gradebook 4.1 Ov
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Customize the display of the search
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Viewing Student Assignment Details
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See Also: Configuring Feedback Opti
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3. Specify a name for the grade rep
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Modifying External Assignment Grade
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5 Course Modules Course Modules all
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5. Specify a name for your course m
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• If you have access to the sourc
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5.8 Relative Web References in Cour
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6 Administering Maple T.A. 6.1 Chan
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7 Integrating Maple T.A. with an LD
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8 Authoring Methods for Questions 8
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• Author a limited number of new
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See Also: Sharing Questions (page 1
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Note: When refreshing the algorithm
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Guidelines for Maple Commands in Ma
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See Also: Using Complete Solutions
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• Acceptable margin of error for
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The system returns to the Web Site
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4. Modify the applet code to r
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3. Click the icon next to the appro
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Figure 8.6: Question Designer Quest
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c. In the question screen, the sect
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c. You can add a comment, algorithm
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Copying Content from the Maple Work
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To create and organize the parts fo
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Numeric Questions in the Question E
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Example To create a pop-up HTML ref
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This question is created in the Que
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Figure 8.9: Multiple Choice Questio
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15. Ensure the $sum variable is sel
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14. Click OK. The Edit Response Are
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This question is created in the Que
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Figure 8.16: Defining a Maple-Grade
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To create the question: 1. Select t
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Figure 8.18: Question with a Random
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To enter the system of equations, c
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Figure 8.21: Using the Matrix Palet
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Figure 8.22: Invertible Matrix Ques
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14. The Edit Response Area dialog o
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25. The Edit Adaptive Section dialo
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Some questions may not belong to an
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Note: If you make changes to the .q
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qu.1.2.mode=formula@ qu.1.2.questio
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Question Fields Each question must
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qu.x.y. hint.i solution info Defin
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Question Statement Format: qu.x.y.q
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Example qu.1.1.info= subtopic=Subtr
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• topic • name • question •
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9 Question Types 9.1 Question Types
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For example, the only root of x^2-2
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Table 9.2: Rules and Keys for Enter
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Figure 9.3: Input Field for a Formu
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Formula with Units Question Mode: D
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Guidelines for Using Maple Code for
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• Enter syntactically correct Map
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Question file (.qu) syntax: qu.x.y.
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• You can control the precision a
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For more information, see Graph Plo
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Figure 9.7: Input Field for a Vecto
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Figure 9.8: Adaptive Question Parti
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esponse. In that case, it may be a
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9.8 Flash Questions Question Mode:
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Both List questions and Blanks ques
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See Also: List Questions (page 181)
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Example The following algorithmical
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• If you select multiple question
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elow). You can add one or more tool
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Figure 9.11: Question Designer Scre
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Algorithmic Variables in questions
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Response Area Properties Essay Ques
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3. Select the Maple-graded question
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Finish Multiple Choice Type in Ques
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Note: When refreshing the algorithm
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10 Authoring Mathematical Questions
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For: • A letter and a number with
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Controlling Answer Tolerance There
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Example Calculate the quadratic mea
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Plotting a Student Response Maple T
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Table 10.2: Keyboard Shortcuts for
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Symbol Palette See Also: Palette Qu
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Palette Definition OPERATORPALETTE
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mathml(expr, 1) (the default) retur
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@ qu.1.5.question= What is the equa
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mathml(f) (page 246) 10.8 Plotting
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name=Displaying a Plot@ editing=use
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Function hyperbolic cotangent hypco
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10.10 Using a Table of Units • 22
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10.10 Using a Table of Units • 22
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Custom Table of Equivalent Units Yo
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qu.1.2.question= What is the kineti
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Syntax $m=int(15.27375491) $m=decim
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((2.17 ? 0.01) + e^(1.07?2.03))/(1?
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Mathematical and Logical Operators
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10.17 Generating Random Numbers in
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For example, returns 20.857 returns
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indexof(k, a, b, c, d, ...) Returns
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7 min(a, b, c, d, ...) Returns the
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ange(n) The range(n) function gener
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For example, erf(0) = 0.5 erf(1) =
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Reserved Operations The following f
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${if(eq($grade.foo2, 1), "correct",
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Table 10.15: Option for 3-D Plots O
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Variable definitions must reduce to
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(a) What is its momentum? (b) What
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$i=rint(4); $j=rint(4); $k=4*i+j; $
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6. The examples in Tutorial 1 can b
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11 Authoring Questions in LaTeX 11.
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Example \begin{question}{formula} \
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Example 3 \begin{question}{Non Perm
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Example 2 \begin{question}{Matching
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See Also: $s1=if($t1,"","-"); $a=in
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Question Mode: Blanks - [text] opti
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\end{question} \end{question} See A
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Table 11.6: Basic Sketch Criteria g
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Sample 2 \image[gif]{graphic} Sampl
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• The code that creates and manip
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$ans=frac($num,$a); } \end{question
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cd (Candela) • To use a custom li
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\newline\newline Use 3960 miles for
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Restricted Formula Questions in LaT
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• The correct answer given should
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Equation Questions in LaTeX Questio
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Maple Formula Using the Maple Formu
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\end{blank} \begin{blank}{Numeric}
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12 Plain Text Script Authoring 12.1
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$e=int(2 * rint(10) + 1); $f=int(2
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Example 2.1 To specify that the stu
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qu.1.1.question=Click on the trache
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In the correct answer, identify key
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qu.1.topic=Maple Formula Question E
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$a x$n dx is: @ qu.1.1.part.1.edi
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qu.4.7.editing=useHTML@ qu.4.7.algo
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within tables. - Response cells can
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Appendix A Additional Information A
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Index Symbols $ (dollar) Sign, 259
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D d-Value, 57 Decimal, 153, 234, 24
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Importing and Installing Course Mod
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Non Permuting Multiple Selection, 2
Page 351 and 352:
Restricted Formula Questions, 293 R
Page 353 and 354:
List-based, 260 Lists of variables,
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