// Numbas version: exam_results_page_options
{"name": "Set Soal Matematika IIB - Bab 6 - 8", "metadata": {"description": "", "licence": "None specified"}, "duration": 3600, "percentPass": 0, "showQuestionGroupNames": true, "showstudentname": true, "question_groups": [{"name": "PG + Isian", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", "", "", ""], "questions": [{"name": "Mat 2B - UTS - No 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Jika diberikan hasil perkalian matriks berikut</p>\n<p style=\"text-align: center;\">$\\begin{bmatrix}<br/>1&amp;2&amp;a&amp;2\\\\ 1&amp;5&amp;0&amp;1\\\\1&amp;0&amp;-1&amp;-1\\\\2&amp;0&amp;0&amp;2<br/>\\end{bmatrix} \\begin{bmatrix}<br/>1&amp;-1&amp;2&amp;3\\\\1&amp;1&amp;-1&amp;d\\\\0&amp;0&amp;2&amp;3\\\\3&amp;1&amp;c&amp;5<br/>\\end{bmatrix}=\\begin{bmatrix}<br/>9&amp;3&amp;-6&amp;4\\\\b&amp;5&amp;-3&amp;8\\\\-2&amp;-2&amp;0&amp;-5\\\\e&amp;0&amp;4&amp;16<br/>\\end{bmatrix},$</p>\n<p style=\"text-align: left;\"><br/>maka pernyataan yang benar tentang variabel $a$, $b$, $c$, $d$, dan $e$ adalah $\\ldots$.</p>", "advice": "", "rulesets": {}, "variables": {"": {"name": "", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [""], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": "1", "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["$a=3$.", "$b=9$.", "$c=1$.", "$d=0$.", "$e=8$."], "matrix": [0, "1", 0, "1", "1"], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Mat 2B - UTS - No 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Pilihlah semua pernyataan yang benar tentang sistem persamaan diferensial berikut.</p>\n<p style=\"text-align: center;\">$\\begin{cases}<br/>\\dfrac{dp}{dt}=(p^2-4p-q)(q-5)\\\\[10pt]<br/>\\dfrac{dq}{dt}=(q-4p+p^2)(p-2)<br/>\\end{cases}$</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": "1", "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["$q=p^2-4p$ merupakan salah satu $q$-<em>nullcline</em>.", "$q=5$ merupakan salah satu $p$-<em>nullcline</em>.", "$q=4p-p^2$ merupakan salah satu $p$-<em>nullcline</em>.", "$p=2$ merupakan salah satu $q$-<em>nullcline</em>.", "Terdapat $7$ buah titik kesetimbangan."], "matrix": ["1", 0, 0, "1", 0], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Mat 2B - UTS - No 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Daerah $R$ dibatasi oleh $y=\\var{a}x$, $y=-\\var{a}x$ dan $y=\\var{a}$.</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2,4,5,7,8)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Pernyataan berikut yang benar adalah $\\ldots$.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["Volume benda putar daerah $R$ jika diputar terhadap $y=\\var{a}$ adalah $\\dfrac{\\simplify{2*{a}^2}}{3}\\pi$.", "Volume benda putar daerah $R$ jika diputar terhadap $x=1$ adalah $\\simplify{2*{a}}\\pi$.", "Volume benda putar daerah $R$ jika diputar terhadap $x=-1$ adalah $\\simplify{3*{a}}\\pi$.", "Volume benda putar daerah $R$ jika diputar terhadap sumbu-$x$ adalah $\\dfrac{\\simplify{4*{a}^2}}{3}\\pi$."], "matrix": ["1", "1", 0, "1"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Mat 2B - UTS - No 4", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Luas daerah di antara kurva $y=a^2-x^2$ dan $y=x^2-a^2$ adalah $\\dfrac{\\simplify{8*{a}^3}}{3}$. Maka nilai $a=\\ldots$.</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2,4,5,7,8,10)", "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, "minValue": "a", "maxValue": "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"}, {"name": "Mat 2B - UTS - No 5", "extensions": [], "custom_part_types": [], "resources": [["question-resources/no15matb.jpg", "/srv/numbas/media/question-resources/no15matb.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Diberikan medan arah dari persamaan diferensial $\\dfrac{dy}{dt}=g(y)$ sebagai berikut.</p>\n<p><img src=\"resources/question-resources/no15matb.jpg\" alt=\"\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(-0.5,-1,-1.5,-2,-2.5)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(0,0.5,1,1.5)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b"], "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>Misalkan $y(t)$ merupakan solusi persamaan diferensial tersebut, dengan $y(\\var{a})=\\var{b}$. Tentukan nilai dari $\\lim\\limits_{t \\to \\infty} y(t)$.</p>", "minValue": "-1", "maxValue": "-1", "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"}, {"name": "Mat 2B - UTS - No 6", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2_IGNqz4H.jpg", "/srv/numbas/media/question-resources/Screenshot_2_IGNqz4H.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Perhatikan diagram matriks berikut.</p>\n<p><img src=\"resources/question-resources/Screenshot_2_IGNqz4H.jpg\" alt=\"\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Misalkan $\\begin{bmatrix} A_{t+1}\\\\B_{t+1}\\\\C_{t+1} \\end{bmatrix}=H\\begin{bmatrix} A_{t}\\\\B_{t}\\\\C_{t} \\end{bmatrix}$.</p>", "advice": "", "rulesets": {}, "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>Maka matriks $H$ adalah $\\ldots$.</p>", "correctAnswer": "matrix([0.8,0.4,0],[0,0,0.2],[0.3,1,0.7])", "correctAnswerFractions": true, "numRows": "3", "numColumns": "3", "allowResize": false, "tolerance": 0, "markPerCell": true, "allowFractions": true, "minColumns": 1, "maxColumns": 0, "minRows": 1, "maxRows": 0}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Isian Terstruktur", "pickingStrategy": "random-subset", "pickQuestions": 1, "questionNames": [""], "questions": [{"name": "Mat 2B - UTS - No 7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Misal laju transkripsi berubah secara eksponensial terhadap fungsi $e^{\\var{b} t }$ dan mRNA mempunyai laju peluruhan konstan $\\var{k}$. Banyaknya molekul transkrip mRNA, dinotasikan $T$, berubah melalui persamaan diferensial</p>\n<p style=\"text-align: center;\">$\\dfrac{dT}{dt}=e^{\\var{b} t}-\\var{k}T.$</p>", "advice": "", "rulesets": {}, "variables": {"k": {"name": "k", "group": "Ungrouped variables", "definition": "random(1,2,3,4,5)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(0.1,0.2,0.3,0.4,0.5)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["k", "b"], "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>Misalkan $T(0)=\\dfrac{1}{\\simplify{{k}+{b}}}$. Dengan ketelitian $3$ angka di belakang koma, tentukan nilai dari $T\\left( \\dfrac{1}{2} \\right)$.</p>\n<p><em>Petunjuk</em>: Gunakan substitusi $y(t)=e^{\\var{k}t}T(t)$ agar dapat masalah nilai awal tersebut dapat diselesaikan dengan metode separasi variabel</p>", "minValue": "e^(0.5*b)/(k+b)", "maxValue": "e^(0.5*b)/(k+b)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Dengan menggunakan Metode Euler untuk $h=0.25$, akan diperoleh $T_1(0.25) \\approx\\ldots$.</p>", "minValue": "(4-k)/(4*(k+b))+1/4", "maxValue": "(4-k)/(4*(k+b))+1/4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Titik kedua yang diperoleh dari Metode Euler adalah $T_2(0.5) \\approx\\ldots$.</p>", "minValue": "(4-k)/(4*(k+b))+1/4+1/4*e^(0.25*b)-k*(4-k)/(k+b)/16-k/16", "maxValue": "(4-k)/(4*(k+b))+1/4+1/4*e^(0.25*b)-k*(4-k)/(k+b)/16-k/16", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": 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>Tentukan galat mutlak Metode Euler, $|T(0.5)-T_2(0.5)|$.</p>", "minValue": "abs((4-k)/(4*(k+b))+1/4+1/4*e^(0.25*b)-k*(4-k)/(k+b)/16-k/16-(e^(0.5*b)/(k+b)))", "maxValue": "abs((4-k)/(4*(k+b))+1/4+1/4*e^(0.25*b)-k*(4-k)/(k+b)/16-k/16-(e^(0.5*b)/(k+b)))", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "warn", "message": "<p>Waktunya 5 menit lagi ya.</p>"}}, "feedback": {"showactualmark": false, "showtotalmark": false, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "<p>Selamat datang!</p>\n<p>Silakan gunakan set soal ini dengan bijak.&nbsp;Kalian bisa mencoba set soal ini terus-menerus.</p>\n<p>Set soal ini dapat digunakan oleh siapapun secara gratis.</p>\n<p>Petunjuk pengerjaan soal:</p>\n<ul>\n<li>Jawaban dapat dituliskan dalam bentuk desimal maupun pecahan.</li>\n<li>Jika jawaban dituliskan dalam bentuk desimal, pisahkan dengan tanda titik dan&nbsp;bulatkan hingga dua angka di belakang titik. Contoh: ketik 0.67 untuk menjawab \\(\\frac{2}{3}\\).</li>\n<li>Jika jawaban dituliskan dalam bentuk pecahan, pisahkan pembilang dan penyebut dengan garis miring dan jawab dengan pecahan paling sederhana. Contoh: ketik&nbsp;2/3 untuk menjawab \\(\\frac{2}{3}\\).</li>\n</ul>\n<p>Jika ada kunci jawaban yang salah, kalian dapat memberitahu kami di Instagram @meongmeongproject atau OA Line @eog7710d.</p>", "reviewshowscore": true, "reviewshowfeedback": false, "reviewshowexpectedanswer": true, "reviewshowadvice": false, "feedbackmessages": []}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/no15matb.jpg", "/srv/numbas/media/question-resources/no15matb.jpg"], ["question-resources/Screenshot_2_IGNqz4H.jpg", "/srv/numbas/media/question-resources/Screenshot_2_IGNqz4H.jpg"]]}