// Numbas version: exam_results_page_options
{"name": "Definite Integrals (a) (custom feedback)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "variable_groups": [], "name": "Definite Integrals (a) (custom feedback)", "advice": "<p>Definite Integrals</p>", "rulesets": {}, "functions": {}, "tags": [], "parts": [{"prompt": "<p>$\\int_0^1\\cos(\\frac{\\pi t}{2})\\mathrm{dt}$.</p>\n<p>To write $\\pi$ in your answer simply write pi.</p>", "vsetRange": [0, 1], "showFeedbackIcon": true, "vsetRangePoints": 5, "extendBaseMarkingAlgorithm": true, "checkVariableNames": false, "unitTests": [], "customMarkingAlgorithm": "malrules:\n  [\n    [\"-2/pi\", \"Check the following two things: (1) Double check that you used the correct rule for integrating $\\\\cos x$. (2) Make sure you filled in the top limit of integration first and subtracted what you got when you filled in the bottom limit - not the other way around.\"],\n    [\"-pi/2\",\"It looks like you differentiated $\\\\cos \\\\left( \\\\frac{\\\\pi t}{2} \\\\right)$ instead of integrating.\"],\n    [\"pi/2\",\"It looks like you multiplied by the number in front of $t$ rather than dividing by it.\"]\n  ]\n\n\nparsed_malrules: \n    map(\n        [\"expr\":parse(x[0]),\"feedback\":x[1]],\n        x,\n        malrules\n    )\n\nagree_malrules (Do the student's answer and the expected answer agree on each of the sets of variable values?):\n    map(\n        len(filter(not x ,x,map(\n            try(\n                resultsEqual(unset(question_definitions,eval(studentexpr,vars)),unset(question_definitions,eval(malrule[\"expr\"],vars)),settings[\"checkingType\"],settings[\"checkingAccuracy\"]),\n                message,\n                false\n            ),\n            vars,\n            vset\n        )))<settings[\"failureRate\"],\n        malrule,\n        parsed_malrules\n    )\n\nmatched_malrules:\n  filter(x[0],x,zip(agree_malrules,parsed_malrules))\n  \nmalrule_feedback:\n    assert(numericallyCorrect,\n        assert(len(matched_malrules)=0,\n            set_credit(0,matched_malrules[0][1][\"feedback\"])\n        )\n    )\n\nmark:\n    apply(studentExpr);\n    apply(unexpectedVariables);\n    apply(sameVars);\n    apply(numericallyCorrect);\n    apply(malrule_feedback);\n    apply(failMinLength);\n    apply(failMaxLength);\n    apply(forbiddenStringsPenalty);\n    apply(requiredStringsPenalty)", "showPreview": true, "expectedVariableNames": [], "checkingType": "absdiff", "checkingAccuracy": 0.001, "type": "jme", "variableReplacements": [], "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "failureRate": 1, "marks": 1, "answer": "2/pi"}], "ungrouped_variables": [], "variables": {}, "extensions": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Find the following definite integral</p>", "metadata": {"description": "<p>Definite Integrals</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}