// Numbas version: finer_feedback_settings
{"name": "CF Maths In class test three mock paper question 6 (c)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["p1", "a", "b", "c1", "limit0", "limit1"], "name": "CF Maths In class test three mock paper question 6 (c)", "tags": [], "advice": "<p>$\\int \\cos(bx) \\mathrm{d}x = \\frac{\\sin(bx+a)}{b}$</p>\n<p>$\\int \\sin(cx) \\mathrm{d}x = \\frac{-\\cos(cx+a)}{c}$</p>", "rulesets": {}, "parts": [{"precisionType": "dp", "prompt": "<p>Evaluate: $\\int_{\\var{limit0}}^{\\var{limit1}} (\\simplify{{c1[0]}x - sin({p1[1]}x)} \\mathrm){d}x$. (the angle in&nbsp;the trig. is in radians.)</p>\n<p><strong>Give your answer accurate to 2&nbsp;decimal place.</strong></p>", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "(({c1[0]}/2)*{limit1}^2+cos({p1[1]}{limit1})/{p1[1]})-(({c1[0]}/2)*{limit0}^2+cos({p1[1]}*{limit0})/{p1[1]})", "minValue": "(({c1[0]}/2)*{limit1}^2+cos({p1[1]}{limit1})/{p1[1]})-(({c1[0]}/2)*{limit0}^2+cos({p1[1]}*{limit0})/{p1[1]})", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "statement": "<p>Find the following:</p>\n<p>In each case, you may assume that the constant of integration is 0</p>\n<p>Remember to put your argument in brackets!</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "repeat(random(2..10 except 0),2) ", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "repeat(random(-5..5),2)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "limit1": {"definition": "{limit0}+4", "templateType": "anything", "group": "Ungrouped variables", "name": "limit1", "description": ""}, "limit0": {"definition": "random(-3..3)", "templateType": "anything", "group": "Ungrouped variables", "name": "limit0", "description": ""}, "p1": {"definition": "shuffle(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "p1", "description": ""}, "c1": {"definition": "shuffle(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}]}]}], "contributors": [{"name": "", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}]}