// Numbas version: finer_feedback_settings
{"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": [{"preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {"std": ["all", "fractionNumbers"]}, "extensions": [], "statement": "<p>Finn&nbsp;ekstremalpunktet til funksjonen $f(x)=\\simplify {{f}x^2+{g}x+{h}}$. Oppgi svaret med $2$ desimalers n&oslash;yaktighet.&nbsp;</p>\n<p>Bestem om punktet er et maksimalpunkt eller et minimalpunkt.&nbsp;</p>", "advice": "", "variable_groups": [], "ungrouped_variables": ["z", "c", "b", "d", "f", "w", "a", "g", "h", "t", "maximum"], "parts": [{"unitTests": [], "showCorrectAnswer": true, "gaps": [{"unitTests": [], "customMarkingAlgorithm": "", "variableReplacements": [], "precision": "2", "maxValue": "-g/(2*f)", "variableReplacementStrategy": "originalfirst", "precisionMessage": "<p>Gi svaret med 2 desimaler&nbsp;</p>", "precisionPartialCredit": "50", "type": "numberentry", "correctAnswerFraction": false, "minValue": "-g/(2*f)", "showCorrectAnswer": true, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "precisionType": "dp", "mustBeReducedPC": 0, "scripts": {}, "marks": "1", "showPrecisionHint": false, "correctAnswerStyle": "plain", "strictPrecision": false}, {"unitTests": [], "customMarkingAlgorithm": "", "variableReplacements": [], "precision": "2", "maxValue": "g^2/(4*f)-g^2/(2*f)+h", "variableReplacementStrategy": "originalfirst", "precisionMessage": "<p>Gi svaret med 2 desimaler</p>", "precisionPartialCredit": "50", "type": "numberentry", "correctAnswerFraction": false, "minValue": "g^2/(4*f)-g^2/(2*f)+h", "showCorrectAnswer": true, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "precisionType": "dp", "mustBeReducedPC": 0, "scripts": {}, "marks": 1, "showPrecisionHint": false, "correctAnswerStyle": "plain", "strictPrecision": false}, {"unitTests": [], "vsetRangePoints": 5, "showCorrectAnswer": true, "failureRate": 1, "expectedVariableNames": [], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "showPreview": true, "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "type": "jme", "scripts": {}, "checkingAccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "answer": "2*{f}*x+{g}", "checkingType": "absdiff", "variableReplacements": [], "marks": "1", "checkVariableNames": false}, {"unitTests": [], "vsetRangePoints": 5, "showCorrectAnswer": true, "failureRate": 1, "expectedVariableNames": [], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "showPreview": true, "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "type": "jme", "scripts": {}, "checkingAccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "answer": "2*{f}", "checkingType": "absdiff", "variableReplacements": [], "marks": 1, "checkVariableNames": false}, {"unitTests": [], "matrix": ["if(maximum, 1, 0)", "if(maximum, 0, 1)"], "showCorrectAnswer": true, "choices": ["<p>maximum</p>", "<p>minimum</p>"], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "shuffleChoices": false, "showCellAnswerState": true, "extendBaseMarkingAlgorithm": true, "displayType": "radiogroup", "type": "1_n_2", "scripts": {}, "distractors": ["", ""], "minMarks": 0, "displayColumns": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "maxMarks": "0", "marks": 0}], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p></p>\n<p>Regn f&oslash;rst ut den deriverte og den andrederiverte</p>\n<p>$f'(x)=$&nbsp;[[2]]</p>\n<p>$f''(x)=$&nbsp;[[3]]</p>\n<p></p>\n<p>Finn ekstremalpunktet til funksjonen. (Hint: L&oslash;s likningen $f'(x)=0$)</p>\n<p>$x$-koordinaten til ekstremalpunktet er $=$&nbsp;[[0]]&nbsp; &nbsp;(NB: Skriv svaret som desimaltall og rund svaret til to desimaler)</p>\n<p>$y$-koordinaten til ekstremalpunktet er $=$&nbsp;[[1]]&nbsp; &nbsp;(NB: Skriv svaret som desimaltall og rund svaret til to desimaler)</p>\n<p>Ekstremalpunktet er et&nbsp;&nbsp;[[4]]</p>\n<p></p>\n<p></p>", "type": "gapfill", "scripts": {}, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "marks": 0, "sortAnswers": false}], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "name": "sp\u00f8rsm\u00e5l 3", "functions": {}, "variables": {"z": {"description": "", "name": "z", "templateType": "randrange", "definition": "random(20..30#0.5)", "group": "Ungrouped variables"}, "g": {"description": "", "name": "g", "templateType": "randrange", "definition": "random(-10..10#1)", "group": "Ungrouped variables"}, "w": {"description": "", "name": "w", "templateType": "randrange", "definition": "random(2..5#0.1)", "group": "Ungrouped variables"}, "d": {"description": "", "name": "d", "templateType": "anything", "definition": "random(2..5)", "group": "Ungrouped variables"}, "f": {"description": "", "name": "f", "templateType": "anything", "definition": "Random(-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10) ", "group": "Ungrouped variables"}, "a": {"description": "", "name": "a", "templateType": "randrange", "definition": "random(0..10#0.5)", "group": "Ungrouped variables"}, "c": {"description": "", "name": "c", "templateType": "anything", "definition": "random(2..7)", "group": "Ungrouped variables"}, "maximum": {"description": "<p>Is the stationary point a maximum?</p>", "name": "maximum", "templateType": "anything", "definition": "f<0", "group": "Ungrouped variables"}, "h": {"description": "", "name": "h", "templateType": "randrange", "definition": "random(0..5#0.5)", "group": "Ungrouped variables"}, "b": {"description": "", "name": "b", "templateType": "anything", "definition": "random(2..5)", "group": "Ungrouped variables"}, "t": {"description": "", "name": "t", "templateType": "randrange", "definition": "random(0..1#0.1)", "group": "Ungrouped variables"}}, "tags": [], "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/"}]}