// Numbas version: exam_results_page_options
{"name": "sp\u00f8rsm\u00e5l 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["z", "c", "b", "d", "f", "w", "a", "g", "h", "t", "maximum"], "statement": "<p>Finn ekstremalpunktet til funksjonen $y=\\simplify {{f}x^2+{g}x+{h}}$. Oppgi svaret med $2$ desimalers n&oslash;yaktighet.&nbsp;</p>\n<p>Bestem om punktet er et maksimalpunkt eller et minimalpunkt.&nbsp;</p>", "advice": "", "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"a": {"group": "Ungrouped variables", "definition": "random(0..10#0.5)", "templateType": "randrange", "name": "a", "description": ""}, "f": {"group": "Ungrouped variables", "definition": "random(-10..10#1)", "templateType": "randrange", "name": "f", "description": ""}, "w": {"group": "Ungrouped variables", "definition": "random(2..5#0.1)", "templateType": "randrange", "name": "w", "description": ""}, "g": {"group": "Ungrouped variables", "definition": "random(-10..10#1)", "templateType": "randrange", "name": "g", "description": ""}, "h": {"group": "Ungrouped variables", "definition": "random(0..5#0.5)", "templateType": "randrange", "name": "h", "description": ""}, "t": {"group": "Ungrouped variables", "definition": "random(0..1#0.1)", "templateType": "randrange", "name": "t", "description": ""}, "c": {"group": "Ungrouped variables", "definition": "random(2..7)", "templateType": "anything", "name": "c", "description": ""}, "b": {"group": "Ungrouped variables", "definition": "random(2..5)", "templateType": "anything", "name": "b", "description": ""}, "maximum": {"group": "Ungrouped variables", "definition": "f<0", "templateType": "anything", "name": "maximum", "description": "<p>Is the stationary point a maximum?</p>"}, "d": {"group": "Ungrouped variables", "definition": "random(2..5)", "templateType": "anything", "name": "d", "description": ""}, "z": {"group": "Ungrouped variables", "definition": "random(20..30#0.5)", "templateType": "randrange", "name": "z", "description": ""}}, "preamble": {"css": "", "js": ""}, "name": "sp\u00f8rsm\u00e5l 3", "parts": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}, "gaps": [{"correctAnswerStyle": "plain", "maxValue": "-g/(2*f)", "precisionPartialCredit": "100", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": true, "allowFractions": false, "correctAnswerFraction": false, "strictPrecision": false, "scripts": {}, "precisionType": "dp", "minValue": "-g/(2*f)", "precision": "2", "showFeedbackIcon": true, "mustBeReduced": false, "showCorrectAnswer": true, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "precisionMessage": "<p>You have not given your answer to the correct precision.</p>", "variableReplacements": [], "type": "numberentry"}, {"checkingtype": "absdiff", "marks": 1, "vsetrangepoints": 5, "scripts": {}, "type": "jme", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "answer": "2*{f}*x+{g}", "expectedvariablenames": [], "variableReplacements": [], "showpreview": true}, {"checkingtype": "absdiff", "marks": 1, "vsetrangepoints": 5, "scripts": {}, "type": "jme", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "answer": "2*{f}", "expectedvariablenames": [], "variableReplacements": [], "showpreview": true}, {"distractors": ["", ""], "minMarks": 0, "matrix": ["if(maximum, 1, 0)", "if(maximum, 0, 1)"], "displayColumns": 0, "displayType": "radiogroup", "scripts": {}, "choices": ["<p>maximalpunkt</p>", "<p>minimalpunkt</p>"], "showFeedbackIcon": true, "showCorrectAnswer": true, "maxMarks": "0", "variableReplacementStrategy": "originalfirst", "shuffleChoices": false, "marks": 0, "variableReplacements": [], "type": "1_n_2"}], "variableReplacementStrategy": "originalfirst", "prompt": "<p></p>\n<p>Regn f&oslash;rst ut den deriverte og den andrederiverte.</p>\n<p></p>\n<p>$\\displaystyle \\frac{dy}{dx}=$&nbsp;[[2]]</p>\n<p>$\\displaystyle \\frac{d^2y}{dx^2}=$&nbsp;[[3]]</p>\n<p></p>\n<p>Dernest, finn $x$ slik at $\\displaystyle \\frac{dy}{dx}=0$.</p>\n<p>$x$-koordinaten til ekstremalpunktet er $=$&nbsp;[[0]]</p>\n<p>ekstremalpunktet&nbsp;er et&nbsp;&nbsp;[[4]]</p>\n<p></p>\n<p></p>", "marks": 0, "variableReplacements": [], "type": "gapfill"}], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "extensions": [], "functions": {}, "tags": [], "rulesets": {"std": ["all", "fractionNumbers"]}, "variable_groups": [], "type": "question", "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}]}]}], "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}]}