// Numbas version: exam_results_page_options
{"name": "Basic Anti-Derivatives", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"answer": "{a}x^2/2-{b}x+C", "checkvariablenames": false, "type": "jme", "expectedvariablenames": [], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "prompt": "<p>$f(x) = \\var{a}x - \\var{b}$</p>", "showCorrectAnswer": true, "marks": 1, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "showpreview": true, "checkingaccuracy": 0.001}, {"answer": "1/{c}x+2/(3{d})x^3-3x^4/(4{f})+C", "checkvariablenames": false, "type": "jme", "expectedvariablenames": [], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "prompt": "<p>$f(x) = \\frac{1}{\\var{c}}+ \\frac{2}{\\var{d}}x^2 - \\frac{3}{\\var{f}}x^3$</p>", "showCorrectAnswer": true, "marks": 1, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "showpreview": true, "checkingaccuracy": 0.001}, {"answer": "e^{g}x+C", "checkvariablenames": false, "type": "jme", "expectedvariablenames": [], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "prompt": "<p>$f(x) = e^\\var{g}$</p>", "showCorrectAnswer": true, "marks": 1, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "showpreview": true, "checkingaccuracy": 0.001}, {"answer": "e^({g}x)/{g}+C", "checkvariablenames": false, "type": "jme", "expectedvariablenames": [], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "prompt": "<p>$f(x) = e^{\\var{g}x}$</p>", "showCorrectAnswer": true, "marks": 1, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "showpreview": true, "checkingaccuracy": 0.001}], "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "variable_groups": [], "statement": "<p>Find the most general antiderivatives of the functions. Use the letter C to represent an unknown constant.&nbsp;</p>", "functions": {}, "name": "Basic Anti-Derivatives", "extensions": [], "variables": {"f": {"templateType": "anything", "description": "", "name": "f", "definition": "random(4,5,7,8)", "group": "Ungrouped variables"}, "c": {"templateType": "anything", "description": "", "name": "c", "definition": "random(2..4)", "group": "Ungrouped variables"}, "d": {"templateType": "anything", "description": "", "name": "d", "definition": "random(3,5,7)", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "description": "", "name": "b", "definition": "random(1..9 except a)", "group": "Ungrouped variables"}, "g": {"templateType": "anything", "description": "", "name": "g", "definition": "random(2..5)", "group": "Ungrouped variables"}, "a": {"templateType": "anything", "description": "", "name": "a", "definition": "2*random(2..4)", "group": "Ungrouped variables"}}, "advice": "<p>Don't forget to include the unknown constant C.</p>", "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Antiderivatives</p>\n<p>rebel&nbsp;</p>\n<p>rebelmaths</p>"}, "type": "question", "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}