// Numbas version: exam_results_page_options
{"name": "Differentiation. True/False 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Differentiation. True/False 2", "tags": [], "metadata": {"description": "Multi choice question week 3", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "<p>See ??</p>", "rulesets": {}, "extensions": [], "variables": {"statements": {"name": "statements", "group": "do not change these", "definition": "map(if(rand[j]=1,\n    statements_true[j],\n    statements_false[j]),j,0..n-1)", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "change these", "definition": "random(6..9)", "description": "", "templateType": "anything"}, "max_mark": {"name": "max_mark", "group": "change these", "definition": "4", "description": "", "templateType": "anything"}, "statements_false": {"name": "statements_false", "group": "change these", "definition": "[\"$\\\\frac{df}{dt} = \\\\cos(x)$\",\n\"$\\\\frac{dg}{dx} = -\\\\sin(t)$ \",\n\"$\\\\frac{df}{dx} = df \\\\div dx$ \",\n\"The derivative of $\\\\frac{1}{x^5}$ is $\\\\frac{1}{5x^4}$\",\n\"The derivative of $x^5 \\\\sin(x)$ is $5x^4 \\\\cos(x)$ \",\n\"$x^5 = 5x^4$\",\n\"The derivative of $\\\\sqrt{x}$ is determined by re-writing it as $x^{-2}$\"\n]", "description": "<p><br />\"The derivative of $x^2 \\\\sin(x)$ is $2x \\\\cos(x)$ \",<br />\"When adding up a geometric series using the reasoning from lectures, you re-write the original sum underneath but in reverse order\",<br />\"$f'(0)=0$\",<br />\"$g'(0)=-1$\",<br />\"The derivative of $\\\\sqrt{x}$ is explicitly stated in the formula sheet\"<br />]</p>", "templateType": "anything"}, "statements_true": {"name": "statements_true", "group": "change these", "definition": "[\"$\\\\frac{df}{dx} = \\\\cos(x)$\",\n\"$\\\\frac{dg}{dt} = -\\\\sin(t)$ \",\n\"$\\\\frac{df}{dx}$ should not be treated like a fraction\",\n\"The derivative of $\\\\frac{1}{x^5}$ is determined by re-writing it as $x^{-5}$\",\n\"The derivative of $x^5 \\\\sin(x)$ is not $5x^4 \\\\cos(x)$ \",\n\"The derivative of $x^3$ is $3x^2$\",\n\"The derivative of $\\\\sqrt{x}$ is determined by re-writing it as $x^{\\\\frac{1}{2}}$\"\n]\n ", "description": "<p><br />\"The derivative of $\\\\sqrt{x}$ is not explicitly stated in the formula sheet\"<br />]</p>", "templateType": "anything"}, "b": {"name": "b", "group": "change these", "definition": "random(10..18)+random(1..9)/10", "description": "", "templateType": "anything"}, "rand": {"name": "rand", "group": "do not change these", "definition": "repeat(if(random(-2..2)>0,1,0),n-1)+[if(random(0..5)=5,1,0)]", "description": "", "templateType": "anything"}, "error": {"name": "error", "group": "change these", "definition": "1/2", "description": "<p>what proportion of total marks should be lost for each error. e.g. 1/2 would mean a single error costs half of all marks available. 1/3 would mean each error costs a third of all marks.</p>", "templateType": "anything"}, "marks": {"name": "marks", "group": "do not change these", "definition": "matrix(map(if(rand[j]=1,[max_mark/n,-max_mark*error+max_mark/n],[-max_mark*error+max_mark/n,max_mark/n]),j,0..n-1))\n\n", "description": "", "templateType": "anything"}, "n": {"name": "n", "group": "do not change these", "definition": "length(statements_true)", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "change these", "definition": "random(3..7)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "change these", "variables": ["statements_true", "statements_false", "max_mark", "error", "a", "b", "c"]}, {"name": "do not change these", "variables": ["n", "rand", "statements", "marks"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In the following,&nbsp;$f(x) = \\sin(x)$ and $g(t) = \\cos(t)$.&nbsp; Which of the following are true and which are false?&nbsp;&nbsp;</p>\n<p></p>\n<p>If you are unsure of something,&nbsp;find out the answer instead of guessing.&nbsp;<strong>Each error will cost half of the marks available</strong>. If you are unable to find out, you are welcome to ask me for help or advice.</p>", "minMarks": 0, "maxMarks": "0", "minAnswers": "{n}", "maxAnswers": 0, "shuffleChoices": true, "shuffleAnswers": false, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": false, "choices": "{statements}", "matrix": "{marks}", "layout": {"type": "all", "expression": ""}, "answers": ["<p>True</p>", "<p>False</p>"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}