// Numbas version: exam_results_page_options
{"name": "Clare's copy of Input 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "statement": "<h2>ENTERING POWERS</h2>\n<p>In this example we show you how to input powers. It is important that you get this right as many questions ask for such inputs.</p>\n<p>$a^b$ is input as <code>a^b</code>.</p>\n<p>But you have to be careful with inputting such expressions as</p>\n<p>\\[e^{2x},\\;x^{-2},\\;(xy)^2\\]</p>\n<p><strong>In these cases the exponent must be enclosed in brackets.&nbsp;</strong></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>Power</th>\n<th>Correct Input</th>\n<th>Incorrect Input</th>\n<th>Why it's wrong</th>\n</tr>\n<tr>\n<td>$e^{2x}$</td>\n<td><code>e^(2*x)</code></td>\n<td><code>e^2*x</code></td>\n<td>The system thinks this is $(e^2) \\cdot x$</td>\n</tr>\n<tr>\n<td>$x^{-2}$</td>\n<td><code>x^(-2)</code></td>\n<td><code>x^-2</code></td>\n<td>This produces an error</td>\n</tr>\n<tr>\n<td>$(xy)^2$</td>\n<td><code>(x*y)^2</code></td>\n<td><code>x*y^2</code></td>\n<td>The system thinks this is $x \\cdot (y^2)$</td>\n</tr>\n</tbody>\n</table>\n<p>So make sure that you use brackets to properly define your powers. This is a major source of input inaccuracies.</p>\n<p>To test your input of powers, try the following examples.</p>", "rulesets": {}, "parts": [{"variableReplacements": [], "useCustomName": false, "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Write $e^{\\simplify{{a}x}}$. [[0]]</p>\n      <p>Your input is shown in mathematical notation in a box next to your input so that you can check that you have entered it correctly.</p>\n      <p>Click on <em>Submit part</em> to check your answer.</p>\n      <p>Click on the input field and remove the brackets, then re-submit and see what happens.</p>\n      <p>&nbsp;</p>\n      <p>&nbsp;</p>", "scripts": {}, "unitTests": [], "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"showPreview": true, "useCustomName": false, "marks": 1, "showFeedbackIcon": true, "scripts": {}, "checkingAccuracy": 1e-05, "answer": "e^({a}*x)", "vsetRange": [0, 0.1], "customMarkingAlgorithm": "", "valuegenerators": [{"name": "x", "value": ""}], "vsetRangePoints": 5, "checkingType": "absdiff", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "customName": "", "failureRate": 1, "answerSimplification": "all", "unitTests": [], "type": "jme", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkVariableNames": false}], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "customName": "", "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "useCustomName": false, "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Input $x^{\\var{c}}x^{\\var{d}}$ as a single power of $x$.</p>\n      <p>For example,&nbsp;you would input&nbsp;$x^{-6}x^{-5}$ as <code>x^(-11)</code>.</p>\n      <p>$x^{\\var{c}}x^{\\var{d}}=\\;$[[0]]</p>", "scripts": {}, "unitTests": [], "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"showPreview": true, "useCustomName": false, "marks": 1, "showFeedbackIcon": true, "scripts": {}, "checkingAccuracy": 0.001, "answer": "x^({c+d})", "vsetRange": [0, 1], "customMarkingAlgorithm": "", "valuegenerators": [{"name": "x", "value": ""}], "vsetRangePoints": 5, "checkingType": "absdiff", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "customName": "", "failureRate": 1, "answerSimplification": "all", "unitTests": [], "type": "jme", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkVariableNames": false}], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "customName": "", "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "useCustomName": false, "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Input $(xy)^{\\var{f}}$ in the form $x^ay^b$ for suitable values of $a$ and $b$.&nbsp;</p>\n      <p>$(xy)^{\\var{f}}=\\;$[[0]]</p>", "scripts": {}, "unitTests": [], "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"showPreview": true, "useCustomName": false, "marks": 1, "showFeedbackIcon": true, "scripts": {}, "checkingAccuracy": 0.001, "answer": "x^{f}*y^{f}", "vsetRange": [0, 1], "customMarkingAlgorithm": "", "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}], "vsetRangePoints": 5, "checkingType": "absdiff", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "customName": "", "failureRate": 1, "answerSimplification": "all", "notallowed": {"partialCredit": 0, "showStrings": false, "strings": ["xy", "x*y"], "message": "<p>Input in the form $x^ay^b$ for suitable values of $a$ and $b$.</p>"}, "unitTests": [], "type": "jme", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkVariableNames": false}], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "customName": "", "variableReplacementStrategy": "originalfirst"}], "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "metadata": {"description": "<p>Information on inputting powers</p>", "licence": "Creative Commons Attribution 4.0 International"}, "advice": "", "tags": [], "ungrouped_variables": ["f", "s", "c", "a", "d"], "extensions": [], "variable_groups": [], "name": "Clare's copy of Input 3", "variables": {"c": {"description": "", "name": "c", "definition": "random(-12..-6)", "templateType": "anything", "group": "Ungrouped variables"}, "f": {"description": "", "name": "f", "definition": "random(-5,-4,-3,-2,-1)", "templateType": "anything", "group": "Ungrouped variables"}, "d": {"description": "", "name": "d", "definition": "random(-12..-6)", "templateType": "anything", "group": "Ungrouped variables"}, "s": {"description": "", "name": "s", "definition": "random(1,-1)", "templateType": "anything", "group": "Ungrouped variables"}, "a": {"description": "", "name": "a", "definition": "random(6..12)*s", "templateType": "anything", "group": "Ungrouped variables"}}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Clare Lundon", 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