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{"name": "Differentiation IV - Question 9", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Differentiation IV - Question 9", "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"description": "Quiz 4", "licence": "All rights reserved"}, "advice": "<p>See Handout 4</p>", "tags": [], "functions": {}, "rulesets": {}, "variables": {}, "ungrouped_variables": [], "parts": [{"vsetRange": [0, 1], "failureRate": 1, "answer": "2pi rhdr+pi r^2dh", "prompt": "<p>$V=f(h,r)=\\pi r^2h$. Write an expression for the total differential $dV$. Write $\\pi$ as pi in your answer and leave a space after it (you should see it written as $\\pi$ to the left). Do not include any brackets in your answer. Do not include $dV=$ in your answer.</p>", "showPreview": true, "showCorrectAnswer": true, "valuegenerators": [{"name": "dh", "value": ""}, {"name": "r", "value": ""}, {"name": "rhdr", "value": ""}], "extendBaseMarkingAlgorithm": true, "useCustomName": false, "adaptiveMarkingPenalty": 0, "customName": "", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacements": [], "checkingType": "absdiff", "vsetRangePoints": 5, "unitTests": [], "scripts": {}, "marks": 1, "type": "jme", "checkingAccuracy": 0.001, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst"}], "variable_groups": [], "statement": "<p>The volume of a cylinder $V$ is a function of both the radius $r$ and the height $h$ of the cylinder:</p>", "extensions": [], "preamble": {"css": "", "js": ""}, "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}]}], "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}