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