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{"name": "Gradien Persamaan Garis Singgung", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Gradien Persamaan Garis Singgung", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Persamaan parametrik garis singgung dari kurva hasil perpotongan permukaan $z=x^{2}+y^{2}$ dan bidang $z=2x+4y+20$ di titik $P(4,-2,20)$ memiliki bentuk</p>\n<p>$x=4+at$</p>\n<p>$y=-2+bt$</p>\n<p>$z=20+ct$</p>\n<p>dengan $a,b,c$ merupakan bilangan-bilangan bulat nonnegatif dengan FPB sama dengan 1.</p>\n<p>Nilai dari $a+b+c=$</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "27", "showPreview": false, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": []}], "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}]}]}], "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}]}