// Numbas version: finer_feedback_settings
{"metadata": {"licence": "None specified", "description": ""}, "timing": {"timedwarning": {"action": "none", "message": ""}, "allowPause": true, "timeout": {"action": "none", "message": ""}}, "showstudentname": true, "name": "Demo", "showQuestionGroupNames": false, "question_groups": [{"pickingStrategy": "all-ordered", "pickQuestions": 1, "name": "Group", "questions": [{"name": "Algebra: Parsing algebraic expressions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}], "statement": "<p>This is a non-calculator question</p>", "functions": {}, "ungrouped_variables": [], "metadata": {"description": "<p>Several questions about converting between algebra and worded descriptions is asked</p>", "licence": "None specified"}, "preamble": {"js": "", "css": ""}, "parts": [{"maxAnswers": 0, "showFeedbackIcon": true, "prompt": "<p>Match the worded descriptions with their algebraic expressions.</p>", "warningType": "none", "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "shuffleAnswers": true, "choices": ["<p>{proca1}</p>", "<p>{proca2}</p>", "<p>{proca3}</p>", "<p>{proca4}</p>"], "layout": {"expression": "", "type": "all"}, "marks": 0, "matrix": [["0.5", "-2", "-2", "-2"], ["-2", "0.5", "-2", "-2"], ["-2", "-2", "0.5", "-2"], ["-2", "-2", "-2", "0.5"]], "type": "m_n_x", "variableReplacements": [], "unitTests": [], "minAnswers": "4", "minMarks": 0, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answers": ["<p>$ \\frac{\\var{a[0]}a-\\var{a[1]}}{\\var{a[2]}} $</p>", "<p>$&nbsp; \\frac{\\var{a[0]}(a -&nbsp;\\var{a[1]})}{\\var{a[2]}}$</p>", "<p>$&nbsp; \\var{a[0]}(\\frac{a}{\\var{a[2]}} -&nbsp;\\var{a[1]}) $</p>", "<p>$ \\frac{\\var{a[0]}a}{\\var{a[2]}} -\\var{a[1]}$</p>"], "scripts": {}, "shuffleChoices": true, "customMarkingAlgorithm": "", "maxMarks": "2"}, {"maxAnswers": 0, "showFeedbackIcon": true, "prompt": "<p>Write the following algebraic expression as a procedure: $\\simplify[basic]{{alg[rand[0]]}}$</p>", "warningType": "none", "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "shuffleAnswers": true, "choices": ["<p>Step&nbsp;1</p>", "<p>Step&nbsp;2</p>", "<p>Step&nbsp;3</p>", "<p>Step&nbsp;4</p>", "<p>Step 5</p>"], "layout": {"expression": "", "type": "all"}, "marks": 0, "matrix": [["0.2", "-1", "-1", "-1", "-1"], ["-1", "0.2", "-1", "-1", "-1"], ["-1", "-1", "0.2", "-1", "-1"], ["-1", "-1", "-1", "0.2", "-1"], ["-1", "-1", "-1", "-1", "0.2"]], "type": "m_n_x", "variableReplacements": [], "unitTests": [], "minAnswers": "5", "minMarks": 0, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answers": ["<p>Pick a number</p>", "<p>{stepsb[0]}</p>", "<p>{stepsb[1]}</p>", "<p>{stepsb[2]}</p>", "<p>{stepsb[3]}</p>"], "scripts": {}, "shuffleChoices": false, "customMarkingAlgorithm": "", "maxMarks": 0}, {"maxAnswers": 0, "showFeedbackIcon": true, "prompt": "<p>Write the following algebraic expression as a procedure: $\\simplify[basic]{{alg[rand[1]]}}$</p>", "warningType": "none", "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "shuffleAnswers": true, "choices": ["<p>Step&nbsp;1</p>", "<p>Step&nbsp;2</p>", "<p>Step&nbsp;3</p>", "<p>Step&nbsp;4</p>", "<p>Step 5</p>"], "layout": {"expression": "", "type": "all"}, "marks": 0, "matrix": [["0.2", "-1", "-1", "-1", "-1"], ["-1", "0.2", "-1", "-1", "-1"], ["-1", "-1", "0.2", "-1", "-1"], ["-1", "-1", "-1", "0.2", "-1"], ["-1", "-1", "-1", "-1", "0.2"]], "type": "m_n_x", "variableReplacements": [], "unitTests": [], "minAnswers": "5", "minMarks": 0, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answers": ["<p>Pick a number</p>", "<p>{stepsc[0]}</p>", "<p>{stepsc[1]}</p>", "<p>{stepsc[2]}</p>", "<p>{stepsc[3]}</p>"], "scripts": {}, "shuffleChoices": false, "customMarkingAlgorithm": "", "maxMarks": 0}, {"unitTests": [], "vsetRange": [0, 1], "showPreview": true, "showFeedbackIcon": true, "vsetRangePoints": 5, "prompt": "<p>Re-write the following procedure as an algebraic expression.&nbsp; Use the letter $b$ for the letter picked at the start.</p>\n<p>Pick a number. {stepsd[0]}. {stepsd[1]}.&nbsp;{stepsd[2]}.&nbsp;{stepsd[3]}.</p>", "extendBaseMarkingAlgorithm": true, "answerSimplification": "basic", "variableReplacementStrategy": "originalfirst", "checkingType": "absdiff", "scripts": {}, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "checkVariableNames": false, "failureRate": 1, "marks": 1, "showCorrectAnswer": true, "answer": "{alg[rand[2]]}", "type": "jme", "expectedVariableNames": [], "variableReplacements": []}, {"unitTests": [], "vsetRange": [0, 1], "showPreview": true, "showFeedbackIcon": true, "vsetRangePoints": 5, "prompt": "<p>Re-write the following procedure as an algebraic expression.&nbsp; Use the letter $b$ for the letter picked at the start.</p>\n<p>Pick a number. {stepse[0]}. {stepse[1]}.&nbsp;{stepse[2]}.&nbsp;{stepse[3]}.</p>", "extendBaseMarkingAlgorithm": true, "answerSimplification": "basic", "variableReplacementStrategy": "originalfirst", "checkingType": "absdiff", "scripts": {}, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "checkVariableNames": false, "failureRate": 1, "marks": 1, "showCorrectAnswer": true, "answer": "{alg[rand[3]]}", "type": "jme", "expectedVariableNames": [], "variableReplacements": []}, {"unitTests": [], "vsetRange": [0, 1], "showPreview": true, "showFeedbackIcon": true, "vsetRangePoints": 5, "prompt": "<p>Re-write the following procedure as an algebraic expression.&nbsp; Use the letter $b$ for the letter picked at the start.</p>\n<p>Pick a number. {stepsf[0]}. {stepsf[1]}.&nbsp;{stepsf[2]}.&nbsp;{stepsf[3]}.</p>", "extendBaseMarkingAlgorithm": true, "answerSimplification": "basic", "variableReplacementStrategy": "originalfirst", "checkingType": "absdiff", "scripts": {}, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "checkVariableNames": false, "failureRate": 1, "marks": 1, "showCorrectAnswer": true, "answer": "{alg[rand[4]]}", "type": "jme", "expectedVariableNames": [], "variableReplacements": []}], "variables": {"proca3": {"templateType": "anything", "name": "proca3", "definition": "\"Pick number, \"+proca[2]+\", \"+proca[1]+\", \"+proca[0]", "description": "", "group": "part a"}, "b": {"templateType": "anything", "name": "b", "definition": "vector(shuffle([random(2,4,8),random(3,9),5,7,11,13]))", "description": "", "group": "part b to f"}, "stepsf": {"templateType": "anything", "name": "stepsf", "definition": "[procbd[seq[rand[4]][0]], procbd[seq[rand[4]][1]],procbd[seq[rand[4]][2]],procbd[seq[rand[4]][3]]]", "description": "", "group": "part b to f"}, "rand": {"templateType": "anything", "name": "rand", "definition": "shuffle([0,1,2,3,4])", "description": "", "group": "part b to f"}, "stepse": {"templateType": "anything", "name": "stepse", "definition": "[procbd[seq[rand[3]][0]], procbd[seq[rand[3]][1]],procbd[seq[rand[3]][2]],procbd[seq[rand[3]][3]]]", "description": "", "group": "part b to f"}, "proca4": {"templateType": "anything", "name": "proca4", "definition": "\"Pick number, \"+proca[0]+\", \"+proca[2]+\", \"+proca[1]", "description": "", "group": "part a"}, "stepsc": {"templateType": "anything", "name": "stepsc", "definition": "[procbd[seq[rand[1]][0]], procbd[seq[rand[1]][1]],procbd[seq[rand[1]][2]],procbd[seq[rand[1]][3]]]", "description": "", "group": "part b to f"}, "proca": {"templateType": "anything", "name": "proca", "definition": "[\"multiply by \"+a[0], \"subtract \"+a[1], \"divide by \"+a[2]]", "description": "<p>proc</p>", "group": "part a"}, "proca2": {"templateType": "anything", "name": "proca2", "definition": "\"Pick number, \"+proca[1]+\", \"+proca[0]+\", \"+proca[2]", "description": "", "group": "part a"}, "alg": {"templateType": "anything", "name": "alg", "definition": "[expression(\"(\"+b[0]+\"b - \"+b[1]+\")^2 + \"+b[2]), expression(\"(\"+b[0]+\"b)^2 - \"+b[1]+\"+\"+b[2]), expression(b[0]+\"b^2 - \"+b[1]+\"+\"+b[2]), expression(\"(\"+b[0]+\"(b+\"+b[2]+\"))^2-\"+b[1]), expression(b[0]+\"(b^2 - \"+b[1]+\") +\"+b[2])]", "description": "", "group": "part b to f"}, "stepsb": {"templateType": "anything", "name": "stepsb", "definition": "[procbd[seq[rand[0]][0]], procbd[seq[rand[0]][1]],procbd[seq[rand[0]][2]],procbd[seq[rand[0]][3]]]", "description": "", "group": "part b to f"}, "procbd": {"templateType": "anything", "name": "procbd", "definition": "[\"Multiply by \"+b[0], \"Subtract \"+b[1], \"Add \"+b[2], \"Square\"]", "description": "", "group": "part b to f"}, "proca1": {"templateType": "anything", "name": "proca1", "definition": "\"Pick number, \"+proca[0]+\", \"+proca[1]+\", \"+proca[2]", "description": "", "group": "part a"}, "seq": {"templateType": "anything", "name": "seq", "definition": "[[0,1,3,2],[0,3,1,2],[3,0,1,2],[2,0,3,1],[3,1,0,2]]", "description": "<p>Sequence of steps</p>", "group": "part b to f"}, "a": {"templateType": "anything", "name": "a", "definition": "vector(shuffle([random(2,4,8),random(3,9),5,7,11]))", "description": "", "group": "part a"}, "stepsd": {"templateType": "anything", "name": "stepsd", "definition": "[procbd[seq[rand[2]][0]], procbd[seq[rand[2]][1]],procbd[seq[rand[2]][2]],procbd[seq[rand[2]][3]]]", "description": "", "group": "part b to f"}}, "rulesets": {}, "tags": [], "advice": "", "variable_groups": [{"variables": ["a", "proca", "proca1", "proca2", "proca3", "proca4"], "name": "part a"}, {"variables": ["rand", "b", "procbd", "seq", "alg", "stepsc", "stepsb", "stepsd", "stepse", "stepsf"], "name": "part b to f"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "Differentiation: product or chain", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}], "tags": [], "metadata": {"description": "<p>8 questions. Each one requires product rule or the chain rule. Functions randomised.</p>", "licence": "None specified"}, "statement": "", "advice": "<p>See 11.3, 11.4 and 11.5.</p>", "rulesets": {}, "variables": {"a": {"name": "a", "group": "coefficients etc", "definition": "map(random(2..7),j,0..7\n)", "description": "<p>a*f0(f1(x)+d)</p>\n<p>a*f0(b0x + d0) * f1(b1x + d1)</p>", "templateType": "anything"}, "prod": {"name": "prod", "group": "functions", "definition": "map(expression(a[j]+\"*\"+f[rand[j][0]][0]+b0[j]+\"*\"+var+\"+\"+d0[j]+f[rand[j][0]][1]+\"*\"+f[rand[j][1]][0]+b1[j]+\"*\"+var+\"+\"+d1[j]+f[rand[j][1]][1]),j,0..7\n)", "description": "", "templateType": "anything"}, "d0": {"name": "d0", "group": "coefficients etc", "definition": "map(0,j,0..7)", "description": "<p>a*f0(b0x + d0) * f1(b1x + d1)</p>", "templateType": "anything"}, "rand2": {"name": "rand2", "group": "Ungrouped variables", "definition": "repeat(if(random(-2..2)>0,1,0),8)", "description": "<p>40% odds of getting product rule, 60% odds of chain rule</p>", "templateType": "anything"}, "rand": {"name": "rand", "group": "Ungrouped variables", "definition": "shuffle([\n  [6,2],\n  [7,1],\n  [8,1],\n  [9,2],\n  [6,random(8,9)],\n  [7,random(8,9)],\n  [9,random(6,7)],\n  [8,random(6,7)]\n  ])", "description": "<p>[<br />0[\"(\"+b0[0]+\"*\",\")\"],<br />1[\"(\",\")^\"+n1],<br />2[\"(\",\")^\"+n2],<br />3[\"1/(\",\")\"],<br />4[\"1/((\",\")^\"+n3+\")\"],<br />5[\"sqrt(\",\")\"],<br />6[\"sin(\",\")\"],<br />7[\"cos(\",\")\"],<br />8[\"e^(\",\")\"],<br />9[\"ln(\",\")\"]<br /> ]</p>\n<p></p>\n<p>don't use 0 for product rule</p>", "templateType": "anything"}, "f": {"name": "f", "group": "functions", "definition": "[\n  [\"(\"+b0[0]+\"*\",\")\"],\n  [\"(\",\")^\"+n1],\n  [\"(\",\")^\"+n2],\n  [\"1/(\",\")\"],\n  [\"1/((\",\")^\"+n3+\")\"],\n  [\"sqrt(\",\")\"],\n  [\"sin(\",\")\"],\n  [\"cos(\",\")\"],\n  [\"e^(\",\")\"],\n  [\"ln(\",\")\"]\n ]", "description": "", "templateType": "anything"}, "prod'": {"name": "prod'", "group": "functions", "definition": "map(expression(a[j]+\"*\"+b0[j]+\"*\"+f'[rand[j][0]][0]+b0[j]+\"*\"+var+\"+\"+d0[j]+f'[rand[j][0]][1]+\"*\"+f[rand[j][1]][0]+b1[j]+\"*\"+var+\"+\"+d1[j]+f[rand[j][1]][1]+\"+\"+a[j]+\"*\"+f[rand[j][0]][0]+b0[j]+\"*\"+var+\"+\"+d0[j]+f[rand[j][0]][1]+\"*\"+b1[j]+\"*\"+f'[rand[j][1]][0]+b1[j]+\"*\"+var+\"+\"+d1[j]+f'[rand[j][1]][1]),j,0..7\n)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "coefficients etc", "definition": "map(random(-3..3 except([0,1])),j,0..7)", "description": "", "templateType": "anything"}, "comp": {"name": "comp", "group": "functions", "definition": "map(expression(a[j]+\"*\"+f[rand[j][0]][0]+b[j]+\"*\"+f[rand[j][1]][0]+var+f[rand[j][1]][1]+\"+\"+d[j]+f[rand[j][0]][1]),j,0..7)", "description": "", "templateType": "anything"}, "d1": {"name": "d1", "group": "coefficients etc", "definition": "map(0,j,0..7)", "description": "<p>a*f0(b0x + d0) * f1(b1x + d1)</p>", "templateType": "anything"}, "b1": {"name": "b1", "group": "coefficients etc", "definition": "map(1,j,0..7)", "description": "<p>a*f0(b0x + d0) * f1(b1x + d1)</p>", "templateType": "anything"}, "n2": {"name": "n2", "group": "coefficients etc", "definition": "random(4..6)", "description": "", "templateType": "anything"}, "q": {"name": "q", "group": "functions", "definition": "map(if(rand2[j]=0,comp[j],prod[j]),j,0..7)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "coefficients etc", "definition": "map(random(6..9),j,0..7)", "description": "<p>a*f0(f1(x)+d)</p>", "templateType": "anything"}, "var": {"name": "var", "group": "coefficients etc", "definition": "random(['x','z','t','p','s','r','w'])", "description": "", "templateType": "anything"}, "n3": {"name": "n3", "group": "coefficients etc", "definition": "random(2..5)", "description": "", "templateType": "anything"}, "f'": {"name": "f'", "group": "functions", "definition": "[\n  [\"(\"+b0[0]+\"*(\",\"^0))\"],\n  [n1+\"*(\",\")^\"+(n1-1)],\n  [n2+\"*(\",\")^\"+(n2-1)],\n  [\"-1/((\",\")^2)\"],\n  [\"-\"+n3+\"/((\",\")^\"+(n3+1)+\")\"],\n  [\"0.5/(sqrt(\",\"))\"],\n  [\"cos(\",\")\"],\n  [\"-sin(\",\")\"],\n  [\"e^(\",\")\"],\n  [\"1/(\",\")\"]\n ]", "description": "", "templateType": "anything"}, "n1": {"name": "n1", "group": "coefficients etc", "definition": "random(2..3)", "description": "", "templateType": "anything"}, "q'": {"name": "q'", "group": "functions", "definition": "map(if(rand2[j]=0,comp'[j],prod'[j]),j,0..7)", "description": "", "templateType": "anything"}, "comp'": {"name": "comp'", "group": "functions", "definition": "map(expression(a[j]+\"*\"+b[j]+\"*\"+f'[rand[j][1]][0]+var+f'[rand[j][1]][1]+\"*\"+f'[rand[j][0]][0]+b[j]+\"*\"+f[rand[j][1]][0]+var+f[rand[j][1]][1]+\"+\"+d[j]+f'[rand[j][0]][1]),j,0..7)", "description": "", "templateType": "anything"}, "b0": {"name": "b0", "group": "coefficients etc", "definition": "map(1,j,0..7)", "description": "<p>a*f0(b0x + d0) * f1(b1x + d1)</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["rand", "rand2"], "variable_groups": [{"name": "coefficients etc", "variables": ["var", "n1", "n2", "n3", "a", "b", "b0", "b1", "d", "d0", "d1"]}, {"name": "functions", "variables": ["f", "f'", "comp", "comp'", "prod", "prod'", "q", "q'"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Differentiate the following. You will need the Chain Rule or the Product Rule.</p>\n<p></p>\n<p>$\\simplify{{q[0]}}$.&nbsp;</p>\n<p>[[0]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[1]}}$.&nbsp;</p>\n<p>[[1]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[2]}}$.</p>\n<p>[[2]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[3]}}$.&nbsp;</p>\n<p>[[3]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[4]}}$.&nbsp;</p>\n<p>[[4]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[5]}}$.</p>\n<p>[[5]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[6]}}$.</p>\n<p>[[6]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p>$\\simplify{{q[7]}}$.&nbsp;</p>\n<p>[[7]]</p>\n<p></p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[0]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[1]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[2]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[3]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[4]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[5]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{q'[6]}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, 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We would like to calculate the area of the shaded region.</p>\n<p>{plotgraph(a,b,c,1)}</p>\n<p></p>\n<p>You will learn how to do this in Maths 2 (using so-called integration), but for now we will just <span style=\"text-decoration: underline;\">estimate</span> the area. 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