// Numbas version: finer_feedback_settings
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If you need to enter factorials e.g. $6!$&nbsp; you type <code>fact(6)</code></p>", "showCorrectAnswer": true, "useCustomName": false}, {"customName": "", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": [], "failureRate": 1, "showFeedbackIcon": true, "showPreview": true, "answer": "({a}*(fact({c})))/s^{c+1}+({b}*(fact({d})))/s^{d+1}", "checkingType": "absdiff", "customMarkingAlgorithm": "", "type": "jme", "vsetRangePoints": 5, "vsetRange": [0, 1], "scripts": {}, "steps": [{"customName": "", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "type": "information", "prompt": "<p>$L\\{t^n\\}=\\frac{n!}{s^{n+1}}$</p>", "variableReplacementStrategy": "originalfirst", "unitTests": [], "showFeedbackIcon": true, "marks": 0, "useCustomName": false, "scripts": {}, "customMarkingAlgorithm": "", "showCorrectAnswer": true}], "valuegenerators": [{"name": "s", "value": ""}], "checkVariableNames": false, "checkingAccuracy": 0.001, "marks": 1, "stepsPenalty": 0, "prompt": "<p>Find $L\\{\\var{a}t^\\var{c}+\\var{b}t^\\var{d}\\}$.</p>", "showCorrectAnswer": true, "useCustomName": false}], "name": "Laplace:  Laplace Transform of Constants and Powers of t", "preamble": {"css": "", "js": ""}, "statement": "<p></p>\n<p>Use the&nbsp;table of Laplace transforms to answer the following questions.</p>\n<p></p>", "advice": "<p>See 'show steps'.</p>", "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "extensions": [], "variables": {"a": {"templateType": "randrange", "group": "Ungrouped variables", "definition": "random(1 .. 9#1)", "name": "a", "description": ""}, "b": {"templateType": "randrange", "group": "Ungrouped variables", "definition": "random(2 .. 9#1)", "name": "b", "description": ""}, "d": {"templateType": "randrange", "group": "Ungrouped variables", "definition": "random(6 .. 9#1)", "name": "d", "description": ""}, "c": {"templateType": "randrange", "group": "Ungrouped variables", "definition": "random(2 .. 5#1)", "name": "c", "description": ""}}, "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}