// Numbas version: exam_results_page_options
{"name": "Oracle function estimation", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "preamble": {"css": "", "js": ""}, "tags": [], "functions": {}, "statement": "<p><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Estoy pensando en una funci&oacute;n, &iexcl;pero no te dir&eacute; lo que es! </span><span style=\"vertical-align: inherit;\">Pero:</span></span></p>\n<ol>\n<li><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Es al menos dos veces diferenciable.</span></span></li>\n<li><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Le dir&eacute; el valor de la funci&oacute;n en cualquier lugar que solicite, con tres decimales. </span><span style=\"vertical-align: inherit;\">Puedes usar el cuadro de abajo para informarme. </span><span style=\"vertical-align: inherit;\">(Es posible que deba esperar un poco para que se cargue).</span></span></li>\n</ol>\n<p><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">{geogebra_applet ('ufgKrAzb', defs)}</span></span></p>", "extensions": ["geogebra"], "variable_groups": [], "advice": "", "name": "Oracle function estimation", "variables": {"defs": {"group": "Ungrouped variables", "name": "defs", "templateType": "anything", "description": "", "definition": "[\n  ['a',a],\n  ['b',b],\n  ['c',c],\n  ['d',d]\n]"}, "df": {"group": "Ungrouped variables", "name": "df", "templateType": "anything", "description": "", "definition": "3*a*x_0^2+2*b*x_0+c"}, "a": {"group": "Ungrouped variables", "name": "a", "templateType": "anything", "description": "", "definition": "random(-3..3 except 0)"}, "ddf": {"group": "Ungrouped variables", "name": "ddf", "templateType": "anything", "description": "", "definition": "6*a*x_0+2*b"}, "d": {"group": "Ungrouped variables", "name": "d", "templateType": "anything", "description": "", "definition": "random(-3..3)"}, "x_0": {"group": "Ungrouped variables", "name": "x_0", "templateType": "anything", "description": "", "definition": "random(-50 .. 50 except 0)/10"}, "b": {"group": "Ungrouped variables", "name": "b", "templateType": "anything", "description": "", "definition": "random(-3..3)"}, "c": {"group": "Ungrouped variables", "name": "c", "templateType": "randrange", "description": "", "definition": "random(-3..3#1)"}}, "ungrouped_variables": ["a", "b", "defs", "c", "d", "x_0", "df", "ddf"], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Dada</span></span></strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> una funci&oacute;n de or&aacute;culo que dar&aacute; salida a su valor dada una entrada: primero </span></span><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">estima</span></span></strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> la derivada y luego </span></span><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">calcula</span></span></strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> su forma.</span></span></p>"}, "parts": [{"extendBaseMarkingAlgorithm": true, "unitTests": [], "variableReplacements": [], "showCorrectAnswer": true, "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "gaps": [{"precision": "1", "strictPrecision": true, "minValue": "df-0.5", "variableReplacements": [], "type": "numberentry", "precisionPartialCredit": 0, "precisionType": "dp", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "precisionMessage": "You have not given your answer to the correct precision.", "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "maxValue": "df+0.5", "showPrecisionHint": false, "unitTests": [], "mustBeReduced": false, "mustBeReducedPC": 0, "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "allowFractions": false}, {"precision": "1", "strictPrecision": true, "minValue": "ddf-0.5", "variableReplacements": [], "type": "numberentry", "precisionPartialCredit": 0, "precisionType": "dp", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "precisionMessage": "You have not given your answer to the correct precision.", "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "maxValue": "ddf+0.5", "showPrecisionHint": false, "unitTests": [], "mustBeReduced": false, "mustBeReducedPC": 0, "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "allowFractions": false}], "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "prompt": "<p><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Calcule $ f '\\! (\\ Var {x_0}) $ con un decimal: </span></span><gapfill class=\"mceNonEditable\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Gap </span></span><span class=\"gap-number\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">0</span></span></span></gapfill></p>\n<p><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Calcule $ f '' \\! (\\ Var {x_0}) $ con un decimal: </span></span><gapfill class=\"mceNonEditable\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Gap </span></span><span class=\"gap-number\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">1</span></span></span></gapfill></p>\n<p></p>", "type": "gapfill"}, {"extendBaseMarkingAlgorithm": true, "unitTests": [], "variableReplacements": [], "showCorrectAnswer": true, "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "gaps": [{"extendBaseMarkingAlgorithm": true, "maxValue": "a", "minValue": "a", "unitTests": [], "correctAnswerStyle": "plain", "variableReplacements": [], "showCorrectAnswer": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false}, {"extendBaseMarkingAlgorithm": true, "maxValue": "b", "minValue": "b", "unitTests": [], "correctAnswerStyle": "plain", "variableReplacements": [], "showCorrectAnswer": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false}, {"extendBaseMarkingAlgorithm": true, "maxValue": "c", "minValue": "c", "unitTests": [], "correctAnswerStyle": "plain", "variableReplacements": [], "showCorrectAnswer": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false}, {"extendBaseMarkingAlgorithm": true, "maxValue": "d", "minValue": "d", "unitTests": [], "correctAnswerStyle": "plain", "variableReplacements": [], "showCorrectAnswer": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false}], "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Suppose I reveal that the function is a cubic, so that $f(x) = a x^3 + b x^2 + c x + d$. I will also tell you that $\\{a,b,c,d\\} \\subset \\mathbb{Z}$. Calculate&nbsp;the parameters $a$ to $d$.</p>\n<p>$a = $ [[0]]</p>\n<p>$b = $ [[1]]</p>\n<p>$c = $ [[2]]</p>\n<p>$d = $ [[3]]</p>", "type": "gapfill"}], "type": "question", "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}