// Numbas version: exam_results_page_options
{"name": "Laplace transform #2 - Trig functions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"questions": [{"ungrouped_variables": ["a", "b", "k", "n"], "variable_groups": [], "preamble": {"css": "", "js": ""}, "tags": [], "variables": {"a": {"templateType": "randrange", "description": "", "group": "Ungrouped variables", "definition": "random(2..10#1)", "name": "a"}, "b": {"templateType": "randrange", "description": "", "group": "Ungrouped variables", "definition": "random(2..11#1)", "name": "b"}, "n": {"templateType": "randrange", "description": "", "group": "Ungrouped variables", "definition": "random(2..5#1)", "name": "n"}, "k": {"templateType": "randrange", "description": "", "group": "Ungrouped variables", "definition": "random(2..12#1)", "name": "k"}}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}, {"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}], "statement": "<p>What is the Laplace transform for the function:</p>\n<p style=\"padding-left: 30px;\">\\(x(t)=\\var{a}sin({\\var{n}t})+\\var{b}cos({\\var{k}t}).\\)</p>\n<p style=\"padding-left: 30px;\"></p>", "type": "question", "advice": "", "extensions": [], "parts": [{"prompt": "<p>\\(X(s)=\\)&nbsp;[[0]]</p>", "marks": 0, "scripts": {}, "sortAnswers": false, "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "gaps": [{"checkingAccuracy": 0.001, "marks": 1, "scripts": {}, "checkVariableNames": false, "unitTests": [], "checkingType": "absdiff", "failureRate": 1, "showFeedbackIcon": true, "showCorrectAnswer": true, "vsetRangePoints": 5, "showPreview": true, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "jme", "variableReplacementStrategy": "originalfirst", "expectedVariableNames": [], "answer": "{n}*{a}/(s^2+{n}^2)+{b}s/(s^2+{k}^2)", "variableReplacements": [], "vsetRange": [0, 1]}], "variableReplacements": []}], "functions": {}, "name": "Laplace transform #2 - Trig functions", "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}}], "pickingStrategy": "all-ordered"}], "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}, {"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}