// Numbas version: exam_results_page_options {"name": "Find the Laplace transform #3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b", "k", "n"], "name": "Find the Laplace transform #3", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "extensions": [], "functions": {}, "variable_groups": [], "parts": [{"unitTests": [], "extendBaseMarkingAlgorithm": true, "marks": 0, "gaps": [{"unitTests": [], "vsetRangePoints": 5, "extendBaseMarkingAlgorithm": true, "marks": 1, "answer": "fact{n}*{a}/(s+{k})^{n+1}+{b}/s", "checkingType": "absdiff", "scripts": {}, "type": "jme", "vsetRange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "showPreview": true, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "failureRate": 1, "checkVariableNames": false, "checkingAccuracy": 0.001, "expectedVariableNames": [], "showFeedbackIcon": true}], "sortAnswers": false, "scripts": {}, "type": "gapfill", "showCorrectAnswer": true, "variableReplacements": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "prompt": "

\\(X(s)=\\) [[0]]

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What is the Laplace transform for the function:

\n

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

\n

.

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