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See 'show steps'.

", "rulesets": {}, "parts": [{"stepsPenalty": 0, "variableReplacements": [], "prompt": "

Find $L\\{\\var{a} \\}$.

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$L\\{k\\}=\\frac{k}{s}$

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 1, "scripts": {}, "answer": "{a}/s", "showCorrectAnswer": true, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}, {"stepsPenalty": 0, "variableReplacements": [], "prompt": "

Find $L\\{\\var{b}t \\}$.

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "

$L\\{t\\}=\\frac{1}{s^2}$

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 1, "scripts": {}, "answer": "{b}/s^2", "showCorrectAnswer": true, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}, {"stepsPenalty": 0, "variableReplacements": [], "prompt": "

Find $L\\{\\var{a}+\\var{b}t \\}$.

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$L\\{k\\}=\\frac{k}{s}$

\n

$L\\{t\\}=\\frac{1}{s^2}$

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 1, "scripts": {}, "answer": "{a}/s+{b}/s^2", "showCorrectAnswer": true, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}, {"stepsPenalty": 0, "variableReplacements": [], "prompt": "

Find $L\\{t^\\var{a}\\}$.

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$L\\{t^n\\}=\\frac{n!}{s^{n+1}}$

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 1, "scripts": {}, "answer": "fact({a})/s^{a+1}", "showCorrectAnswer": true, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}, {"stepsPenalty": 0, "variableReplacements": [], "prompt": "

Find $L\\{\\var{a}t^\\var{c}+\\var{b}t^\\var{d}\\}$.

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$L\\{t^n\\}=\\frac{n!}{s^{n+1}}$

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 1, "scripts": {}, "answer": "({a}*(fact({c})))/s^{c+1}+({b}*(fact({d})))/s^{d+1}", "showCorrectAnswer": true, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}], "extensions": [], "statement": "

You may use a table of Laplace transforms in order to answer the following questions.

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Laplace of constants and powers of t

\n

rebelmaths

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