// Numbas version: exam_results_page_options
{"name": "CLE10. True false", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "CLE10. True false", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>15 questions based on module&nbsp;so far.&nbsp;</p>"}, "parts": [{"showCorrectAnswer": true, "maxMarks": "0", "answers": ["<p>True</p>", "<p>False</p>"], "variableReplacements": [], "layout": {"expression": "", "type": "all"}, "extendBaseMarkingAlgorithm": true, "shuffleChoices": true, "marks": 0, "choices": "{statements}", "prompt": "<p>Which of the following are true and which are false? If you are unsure of something,&nbsp;find out the answer instead of guessing. A single error will result in a score 0 for the whole question. If you are unable to find out or understand the answer, you are welcome to ask me for help or advice.</p>\n<p></p>\n<p>In the following,&nbsp;$f(x) = \\sin(x)$ and $g(t) = \\cos(t)$.</p>", "customMarkingAlgorithm": "", "minAnswers": "{n}", "showFeedbackIcon": true, "displayType": "radiogroup", "maxAnswers": 0, "variableReplacementStrategy": "originalfirst", "showCellAnswerState": true, "unitTests": [], "scripts": {}, "warningType": "none", "matrix": "{marks}", "shuffleAnswers": false, "type": "m_n_x", "minMarks": 0}], "preamble": {"css": "", "js": ""}, "rulesets": {}, "functions": {}, "ungrouped_variables": [], "extensions": [], "variables": {"rand": {"name": "rand", "templateType": "anything", "definition": "repeat(random(0..1),n)", "group": "do not change these", "description": ""}, "n": {"name": "n", "templateType": "anything", "definition": "15", "group": "change these", "description": ""}, "statements_true": {"name": "statements_true", "templateType": "anything", "definition": "[\"$\\\\frac{dg}{dt}$ is not the same as $\\\\frac{dg}{dx}$ \",\n  \"When adding up a geometric series using the reasoning from lectures, you obtain lots of cancellation when you do the subtraction step\",\n  \"$f'(\\\\pi)=-1$\",\n  \"$g'(\\\\pi)=0$\",\n  \"$f(\\\\pi)=0$\",\n  \"$g(\\\\pi)=-1$\",\n  \"The derivative of $\\\\ln(x)$ is explicitly stated in the formula sheet\",\n  \"To calculate the gradient of $f$ when $x=3$, you calculate $f'(3)$\",\n  \"$f(x+\\\\delta x) \\\\approx f(x) + f'(x) \\\\delta x$\",\n  \"When differentiating $g$, you can imagine $g$ represents position and you trying to determine velocity\",\n  \"$a = \\\\frac{dv}{dt}$. ($v$ represents velocity and $a$ represents acceleration.)\",\n  \"The Chain Rule allows you to differentiate the composition of functions.\",\n  \"The Product Rule allows you to differentiate the product of functions.\",\n  \"The formula for the Chain Rule is in the formula booklet\",\n  \"The formula for the Addition Rule is not in the formula booklet\",\n  \"The formula for the Product Rule is in the Formula booklet\"\n]\n ", "group": "change these", "description": ""}, "a": {"name": "a", "templateType": "anything", "definition": "random(3..7)", "group": "change these", "description": ""}, "max_mark": {"name": "max_mark", "templateType": "anything", "definition": "10", "group": "change these", "description": ""}, "b": {"name": "b", "templateType": "anything", "definition": "random(10..18)+random(1..9)/10", "group": "change these", "description": ""}, "statements_false": {"name": "statements_false", "templateType": "anything", "definition": "[\"$\\\\frac{dg}{dt}=-\\\\sin(x)$\",\n  \"When adding up a geometric series using the reasoning from lectures, you re-write the sum underneath but in reverse\",\n  \"$f'(\\\\pi)=1$\",\n  \"$g'(\\\\pi)=-1$\",\n  \"$f(\\\\pi)=1$\",\n  \"$g(\\\\pi)=0$\",\n  \"The derivative of $\\\\ln(x)$ is not in the formula sheet\",\n  \"To calculate the gradient of $f$ when $x=3$, you calculate $\\\\frac{\\\\Delta y}{\\\\Delta x}$\",\n  \"$f(x+\\\\delta x) = f(x) + f(\\\\delta x)$\",\n  \"There is no connection between differentiation and mechanics\",\n  \"$v = \\\\frac{da}{dt}$. ($v$ represents velocity and $a$ represents acceleration.)\",\n  \"The Chain Rule allows you to differentiate chains.\",\n  \"The derivative of $x^2 \\\\sin(x)$ is $2x \\\\cos(x)$.\",\n  \"The formula for the Chain Rule is not in the formula booklet\",\n  \"The formula for the Addition Rule is in the formula booklet\",\n  \"The formula for the Product Rule is not in the Formula booklet\"\n]", "group": "change these", "description": ""}, "c": {"name": "c", "templateType": "anything", "definition": "random(6..9)", "group": "change these", "description": ""}, "statements": {"name": "statements", "templateType": "anything", "definition": "map(if(rand[j]=1,\n    statements_true[j],\n    statements_false[j]),j,0..n-1)", "group": "do not change these", "description": ""}, "marks": {"name": "marks", "templateType": "anything", "definition": "matrix(map(if(rand[j]=1,[max_mark/n,-max_mark],[-max_mark,max_mark/n]),j,0..n-1))\n", "group": "do not change these", "description": ""}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [{"name": "change these", "variables": ["statements_true", "statements_false", "max_mark", "n", "a", "b", "c"]}, {"name": "do not change these", "variables": ["rand", "statements", "marks"]}], "statement": "", "tags": [], "advice": "<p>See all the lectures and workshops up to this point.</p>", "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}