// Numbas version: exam_results_page_options
{"name": "Matbis 2 - Bab 7 dan 8 - No 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Matbis 2 - Bab 7 dan 8 - No 5", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Perubahan harga suatu komoditas (dalam dolar) mengikuti persamaan</p>\n<p>\\[p'(t)=(q^D(t)-q^S(t))-\\dfrac{2}{3}\\displaystyle\\int_0^t (q^S(s)-q^D(s))\\, ds.\\]</p>\n<p style=\"text-align: left;\">Diketahui jumlah penawaran komoditas (dalam unit) mengikuti \\(q^S(t)=20+2p(t)\\) dan jumlah permintaan mengikuti \\(q^D(t)=56-p(t)\\).</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "matrix", "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>Jika fungsi \\(p'\\) diturunkan sekali lagi, akan diperoleh persamaan diferensial orde dua berbentuk \\(p''+ap'+bp=k\\). Nilai dari \\(a\\), \\(b\\), dan \\(k\\) berturut-turut adalah $\\ldots$.</p>\n<p>Catatan: Ingat Teorema Dasar Kalkulus, $\\dfrac{d}{dt}\\displaystyle\\int_0^t f(s)\\, ds=f(t)$.</p>", "correctAnswer": "matrix([3,2,24])", "correctAnswerFractions": true, "numRows": 1, "numColumns": "3", "allowResize": false, "tolerance": 0, "markPerCell": true, "allowFractions": true, "minColumns": 1, "maxColumns": 0, "minRows": 1, "maxRows": 0}, {"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>Solusi dari persamaan differensial orde $2$ sebelumnya adalah \\(p_h(t)=C_1e^{\\alpha t}+C_2e^{\\beta t}+\\hat p\\). Maka \\(\\alpha+\\beta+\\hat p=\\ldots\\).</p>", "minValue": "9", "maxValue": "9", "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>Jika diberikan syarat awal $p(0)=0$ dan $p'(0)=0$, tentukan nilai \\(C_1\\cdot C_2\\).</p>", "minValue": "-288", "maxValue": "-288", "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/"}]}