// Numbas version: exam_results_page_options
{"name": "Find the Laplace transform", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "scripts": {}, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "prompt": "<p>\\(X(s)=\\)&nbsp;[[0]]</p>", "marks": 0, "unitTests": [], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "gaps": [{"variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "vsetRangePoints": 5, "scripts": {}, "failureRate": 1, "showFeedbackIcon": true, "variableReplacements": [], "expectedVariableNames": [], "checkingType": "absdiff", "type": "jme", "vsetRange": [0, 1], "marks": 1, "unitTests": [], "checkingAccuracy": 0.001, "extendBaseMarkingAlgorithm": true, "answer": "fact{n}*{a}/s^{n+1}+{b}/(s+{k})", "checkVariableNames": false, "showPreview": true, "showCorrectAnswer": true}], "showCorrectAnswer": true}], "tags": [], "variable_groups": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>What is the Laplace transform for the function:</p>\n<p style=\"padding-left: 30px;\">\\(x(t)=\\var{a}t^{\\var{n}}+\\var{b}e^{-\\var{k}t}\\)</p>\n<p style=\"padding-left: 30px;\">.</p>", "name": "Find the Laplace transform", "preamble": {"css": "", "js": ""}, "functions": {}, "extensions": [], "advice": "", "variables": {"n": {"definition": "random(2..5#1)", "description": "", "group": "Ungrouped variables", "name": "n", "templateType": "randrange"}, "k": {"definition": "random(2..12#0.5)", "description": "", "group": "Ungrouped variables", "name": "k", "templateType": "randrange"}, "a": {"definition": "random(2..10#1)", "description": "", "group": "Ungrouped variables", "name": "a", "templateType": "randrange"}, "b": {"definition": "random(2..11#1)", "description": "", "group": "Ungrouped variables", "name": "b", "templateType": "randrange"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b", "k", "n"], "rulesets": {}, "type": "question", "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/"}]}]}], "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/"}]}