// Numbas version: exam_results_page_options
{"name": "Arnd's copy of Polar graph (geogebra) #1", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>Look at the polar graphs below and try to choose the correct function from the list.</p>\n<p>Use the sliders to change the value of $\\theta$ and to trace the curve.</p>", "ungrouped_variables": ["t", "defs1", "f1", "a1", "func1", "f11a", "f11b", "f11c", "f11d", "a2", "f2", "defs2", "f22a", "f22b", "f22c", "f22d"], "functions": {}, "rulesets": {}, "parts": [{"choices": ["<p>$r=\\simplify{{f11a}}$</p>", "<p>$r=\\simplify{{f11b}}$</p>", "<p>$r=\\simplify{{f11c}}$</p>", "<p>$r=\\simplify{{f11d}}$</p>"], "marks": 0, "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "showCorrectAnswer": true, "showFeedbackIcon": true, "displayColumns": 0, "extendBaseMarkingAlgorithm": true, "matrix": ["1", 0, 0, 0], "minMarks": 0, "maxMarks": 0, "displayType": "radiogroup", "type": "1_n_2", "distractors": ["", "", "", ""], "scripts": {}, "variableReplacements": [], "prompt": "<p>{geogebra_applet('https://ggbm.at/AAngd6jz', defs1,[]&nbsp;)}</p>", "unitTests": []}, {"choices": ["<p>$r=\\simplify{{f22a}}$</p>", "<p>$r=\\simplify{{f22b}}$</p>", "<p>$r=\\simplify{{f22c}}$</p>", "<p>$r=\\simplify{{f22d}}$</p>"], "marks": 0, "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "showCorrectAnswer": true, "showFeedbackIcon": true, "displayColumns": 0, "extendBaseMarkingAlgorithm": true, "matrix": ["1", 0, 0, 0], "minMarks": 0, "maxMarks": 0, "displayType": "radiogroup", "type": "1_n_2", "distractors": ["", "", "", ""], "scripts": {}, "variableReplacements": [], "prompt": "<p>{geogebra_applet('https://ggbm.at/YtH99Gs6', defs2, [])}</p>", "unitTests": []}], "metadata": {"description": "<p>This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variable_groups": [], "advice": "", "extensions": ["geogebra"], "name": "Arnd's copy of Polar graph (geogebra) #1", "variables": {"func1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(\"sin\",\"cos\")", "description": "", "name": "func1"}, "f11b": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"4*{func1}({a1+random(1,-1)}*theta)\")", "description": "", "name": "f11b"}, "f2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "\"{a2}*t\"", "description": "", "name": "f2"}, "f11a": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"4*{func1}({a1}*theta)\")", "description": "", "name": "f11a"}, "f1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "\"4*{func1}({a1}*t)\"", "description": "", "name": "f1"}, "defs1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "[\n  ['a',t],\n  ['f(t)',f1]\n]", "description": "", "name": "defs1"}, "f22c": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"{2*a2}*theta\")", "description": "", "name": "f22c"}, "f11d": {"group": "Ungrouped variables", "templateType": "anything", "definition": "if(func1=\"sin\",expression(\"4*cos({a1}*theta)\"),expression(\"4*sin({a1}*theta)\"))", "description": "", "name": "f11d"}, "defs2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "[\n  ['a',t],\n  ['f(t)',f2]\n]", "description": "", "name": "defs2"}, "t": {"group": "Ungrouped variables", "templateType": "anything", "definition": "1", "description": "", "name": "t"}, "f22d": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"{3*{a2}}*theta\")", "description": "", "name": "f22d"}, "a1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2,3,4,5)", "description": "", "name": "a1"}, "a2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(0.25,0.5,1,1.5,2)", "description": "", "name": "a2"}, "f22a": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"{a2}*theta\")", "description": "", "name": "f22a"}, "f11c": {"group": "Ungrouped variables", "templateType": "anything", "definition": "if(func1=\"sin\",expression(\"4*cos({a1+random(1,-1)}*theta)\"),expression(\"4*sin({a1+random(1,-1)}*theta)\"))", "description": "", "name": "f11c"}, "f22b": {"group": "Ungrouped variables", "templateType": "anything", "definition": "expression(\"{a2/2}*theta\")", "description": "", "name": "f22b"}}, "tags": [], "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": "200", "condition": ""}, "type": "question", "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "Arnd Ludwig", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2626/"}]}]}], "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "Arnd Ludwig", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2626/"}]}