// Numbas version: exam_results_page_options {"name": " Find the Laplace transform", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"showfrontpage": false, "preventleave": false, "allowregen": true}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"type": "question", "name": " Find the Laplace transform", "metadata": {"licence": "Creative Commons Attribution-NonCommercial 4.0 International", "description": ""}, "ungrouped_variables": ["a", "b", "k", "n"], "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}], "variable_groups": [], "tags": [], "variables": {"a": {"name": "a", "description": "", "definition": "random(2..10#1)", "group": "Ungrouped variables", "templateType": "randrange"}, "k": {"name": "k", "description": "", "definition": "random(2..12#0.5)", "group": "Ungrouped variables", "templateType": "randrange"}, "b": {"name": "b", "description": "", "definition": "random(2..11#1)", "group": "Ungrouped variables", "templateType": "randrange"}, "n": {"name": "n", "description": "", "definition": "random(2..5#1)", "group": "Ungrouped variables", "templateType": "randrange"}}, "statement": "

What is the Laplace transform for the function:

\n

\\(x(t)=\\var{a}t^{\\var{n}}+\\var{b}e^{-\\var{k}t}\\)

\n

.

", "preamble": {"css": "", "js": ""}, "advice": "", "extensions": [], "rulesets": {}, "parts": [{"type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true, "marks": 0, "showFeedbackIcon": true, "gaps": [{"answer": "fact{n}*{a}/s^{n+1}+{b}/(s+{k})", "type": "jme", "showCorrectAnswer": true, "checkvariablenames": false, "expectedvariablenames": [], "vsetrange": [0, 1], "showpreview": true, "scripts": {}, "checkingaccuracy": 0.001, "variableReplacements": [], "marks": 1, "showFeedbackIcon": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff"}], "prompt": "

\\(X(s)=\\) [[0]]

", "variableReplacementStrategy": "originalfirst", "scripts": {}}]}]}], "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}]}