// Numbas version: exam_results_page_options
{"name": "Mat 2A - UAS - No 7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Mat 2A - UAS - No 7", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Diberikan lamina $D$ berbentuk cakram satuan dengan pusat $(0,\\var{a})$. Suhu lamina tersebut di titik $(x,y)$ dinyatakan oleh fungsi $T(x,y)=xy^2$.</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Titik terpanas lamina tersebut berada pada $\\left( \\dfrac{\\sqrt{5}}{c_1},\\dfrac{c_2}{3} \\right)$ dengan $c_1+c_2=\\ldots$.</p>", "minValue": "3+5*a", "maxValue": "3+5*a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Suhu terdinginnya adalah $-\\dfrac{a^{5/2}}{b^3}$ dengan $a$ dan $b$ bilangan asli dan pecahan $\\dfrac{a^2}{b^3}$ sudah dalam bentuk paling sederhana. Maka $a+b=\\ldots$.</p>", "minValue": "8", "maxValue": "8", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Suhu rata-rata lamina $D$ dapat dihitung dengan menggunakan integral lipat, yaitu jumlahan seluruh suhu di seluruh titik pada $D$ dibagi dengan luas lamina tersebut, yakni</p>\n<p style=\"text-align: center;\">$T_{\\text{avg}}=\\displaystyle \\dfrac{1}{A(D)} \\iint_D T(x,y)\\, dA.$</p>\n<p style=\"text-align: left;\">Suhu rata-ratanya adalah $T_{\\text{avg}}=\\dfrac{\\simplify{{a}m^2}}{n\\pi}$ dengan $m$ dan $n$ bilangan asli dan pecahan $\\dfrac{m^2}{n}$ sudah dalam bentuk paling sederhana. Maka $m+n=\\ldots$.</p>", "minValue": "9+2*a", "maxValue": "9+2*a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}]}]}], "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}]}