// Numbas version: exam_results_page_options
{"name": "Set Soal Matematika IIC - Bab 14", "metadata": {"description": "", "licence": "None specified"}, "duration": 2700, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "PG + Isian", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", ""], "questions": [{"name": "Mat 2C - Bab 14 - 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>Diketahui daerah \\(R=\\left\\{(x,y,z)\\bigg|\\dfrac{x}{\\sqrt{3}}\\leq y\\leq x,\\, x^2+y^2+z^2\\leq\\simplify{{a}^2},\\, x,y,z\\geq 0\\right\\}\\).&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(4,5,6,7)", "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>Jika \\(\\displaystyle \\iiint_{R} z \\,dV=\\frac{a\\pi}{192}\\), maka $a=\\ldots$.</p>", "minValue": "2*a", "maxValue": "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"}, {"name": "Mat 2C - Bab 14 - 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>Diketahui $S$ merupakan belah ketupat yang titik-titik sudutnya \\((0,1)\\), \\((0,-1)\\), \\((\\var{a},0)\\), dan \\((-\\var{a},0)\\).&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(3,4,5,6)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_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>Dengan perubahan variabel yang tepat, integral \\(\\displaystyle \\iint_S (x+\\var{a}y)^3e^{x-\\var{a}y}\\,dA\\) akan sama dengan $\\ldots$.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["\\(\\displaystyle\\simplify{2*{a}}\\int_{0}^{\\var{a}}\\int_{0}^{\\var{a}}u^3e^{v}\\,dv\\,du\\)", "\\(\\displaystyle\\simplify{{a}^2}\\int_{-\\var{a}}^{\\var{a}}\\int_{-\\var{a}}^{\\var{a}}u^3e^{v}\\,dv\\,du\\)", "\\(\\displaystyle\\simplify{2*{a}}\\int_{-\\var{a}}^{\\var{a}}\\int_{-\\var{a}}^{\\var{a}}u^3e^{v}\\,dv\\,du\\)", "\\(\\displaystyle\\simplify{{a}^2}\\int_{0}^{\\var{a}}\\int_{0}^{\\var{a}}u^3e^{v}\\,dv\\,du\\)"], "matrix": [0, 0, "1", 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Mat 2C - Bab 14 - 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>Diketahui \\(S\\) merupakan benda padat yang dibatasi oleh $z=\\var{a}-2x^2-2y^2$ dan $z=0$ serta $\\partial S$ adalah permukaan yang merupakan batas dari $S$. Diberikan medan vektor $\\mathbf{F}=4xz\\,\\mathbf{i}+(2-8xy^2)\\,\\mathbf{j}+(4z-2z^2)\\,\\mathbf{k}$.&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(6,8,10,12)", "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>Pilihlah seluruh pernyataan yang tepat.</p>", "minMarks": 0, "maxMarks": "1", "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["div\\((\\mathbf{F})=4-8xy\\).", "\\(S=\\left\\{(r,\\theta,z)|0\\leq \\theta\\leq 2\\pi, 0\\leq r\\leq \\sqrt{\\simplify{{a}/2}}, 0\\leq z\\leq \\var{a}-2r^2 \\right\\}\\).", "\\(\\displaystyle\\iint_{\\partial S} \\mathbf{F}\\cdot \\mathbf{n}\\, dS=\\int_0^{2\\pi}\\int_0^{\\sqrt{\\simplify{{a}/2}}}\\int_0^{\\var{a}-2r^2}4r\\sin(2\\theta)(1-r^2)\\,dz\\,dr\\,d\\theta\\).", "\\(\\displaystyle\\iint_{\\partial S} \\mathbf{F}\\cdot\\mathbf{n}\\,dS=\\simplify{2*{a}}\\pi\\)."], "matrix": ["1", "1", "1", 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Mat 2C - Bab 14 - 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>Misalkan $S$ merupakan permukaan \\(z=\\var{a}-3y+x^2\\) yang berada di atas segitiga dengan titik-titik sudut \\((0,0)\\), \\((2,0)\\), \\((2,-4)\\).&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(4,6,8,10)", "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, "prompt": "<p>Jika \\(\\displaystyle \\iint_S z+3y-x^2\\,dS=\\frac{\\var{a}}{6}(a\\sqrt{a}-b\\sqrt{b})\\), maka \\(a-b=\\ldots\\).</p>", "minValue": "16", "maxValue": "16", "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": "Isian Terstruktur", "pickingStrategy": "random-subset", "pickQuestions": 1, "questionNames": [""], "questions": [{"name": "Mat 2C - Bab 14 - No 5", "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>Diketahui $S$ merupakan benda pejal di atas bidang-$xz$ dan $y\\geq 0$ yang dibatasi oleh bola $x^2+y^2+z^2=\\simplify{{a}}^2$. Rapat massa benda pejal tersebut adalah \\(\\delta(x,y,z)=z\\sqrt{x^2+y^2+z^2}\\).&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2,3,4,5)", "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>Dalam koordinat bola, daerah $S$ dapat dituliskan sebagai \\(S=\\{(\\rho,\\theta,\\varphi):0\\leq \\rho\\leq a, 0\\leq \\theta\\leq b\\pi, 0\\leq \\varphi\\leq c\\pi \\}\\) dengan $abc=\\ldots$.</p>", "minValue": "a/2", "maxValue": "a/2", "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>Masa benda pejal tersebut adalah $\\dfrac{A\\pi}{8}$ dengan $A=\\ldots$.</p>", "minValue": "a^4", "maxValue": "a^4", "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>Momen benda tersebut terhadap bidang-$xy$ adalah $\\dfrac{B\\pi}{12}$ dengan $B=\\ldots$.</p>", "minValue": "a^5", "maxValue": "a^5", "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"}]}], "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": false, "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": []}