// Numbas version: finer_feedback_settings
{"name": "OCHO TRES Derivadas valor de f'", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["cts", "ct"], "name": "OCHO TRES Derivadas valor de f'", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>$y=\\var{ct}t-\\var{cts}t^2$</p>\n<p>Primero, calcular la derivada.</p>\n<p>$\\frac{dy}{dx}=$&nbsp;[[0]]</p>\n<p><code>Ejemplo de respuesta: si la respuesta es </code>$7t+1$, <code>digite <em><strong>7t+1</strong></em>&nbsp;en la barra de respuesta.</code></p>\n<p>Ahora se iguala a cero para obtener el tiempo que tarda en alcanzar la altura m&aacute;xima, con este valor se eval&uacute;a la funci&oacute;n $y$, para obtener la altura pedida.</p>\n<p>$y=$&nbsp;[[1]]</p>\n<p><code>Ejemplo de respuesta: si la respuesta es </code> $501$,<code> digite 501&nbsp;en la barra de respuesta, redondeado al n&uacute;mero entero m&aacute;s cercano</code></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "{ct}-2{cts}t", "marks": "15", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"precisionType": "dp", "precisionMessage": "<p>Escriba la respuesta aproximado al n&uacute;mero entero m&aacute;s cercano.</p>", "allowFractions": true, "variableReplacements": [], "maxValue": "{ct}({ct}/(2{cts}))-{cts}({ct}/(2{cts}))^2", "strictPrecision": false, "minValue": "{ct}({ct}/(2{cts}))-{cts}({ct}/(2{cts}))^2", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": "50", "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "0", "scripts": {}, "marks": "5", "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Se lanza una bola hacia arriba, la posici&oacute;n est&aacute; dada por la ecuaci&oacute;n $ y=\\var{ct}t-\\var{cts}t^2$ con tiempo $t$ en segundos y $y$ altura en metros.</p>\n<p>Calcular la altura m&aacute;xima que alcanza la bola.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"ct": {"definition": "siground(random(30..90),1)", "templateType": "anything", "group": "Ungrouped variables", "name": "ct", "description": "<p>coeff of t</p>"}, "cts": {"definition": "random(3..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "cts", "description": "<p>coeff of t^2</p>"}}, "metadata": {"description": "<p>Real life problems with differentiation</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}]}], "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}