15 questions based on module so far.

", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"js": "", "css": ""}, "functions": {}, "extensions": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "CLE14. True false", "variable_groups": [{"name": "change these", "variables": ["statements_true", "statements_false", "max_mark", "n"]}, {"name": "do not change these", "variables": ["rand", "statements", "marks"]}], "rulesets": {}, "parts": [{"extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "maxAnswers": 0, "layout": {"type": "all", "expression": ""}, "minAnswers": "{n}", "customMarkingAlgorithm": "", "unitTests": [], "shuffleChoices": true, "minMarks": 0, "answers": ["True

", "False

"], "displayType": "radiogroup", "matrix": "{marks}", "marks": 0, "showFeedbackIcon": true, "prompt": "Which of the following are true and which are false, including correct notation? If you are unsure of something, 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.

", "type": "m_n_x", "variableReplacements": [], "maxMarks": "0", "showCorrectAnswer": true, "shuffleAnswers": false, "warningType": "none", "choices": "{statements}", "scripts": {}, "showCellAnswerState": true}], "advice": "See all the lectures and workshops up to this point.

", "tags": [], "ungrouped_variables": [], "variables": {"max_mark": {"name": "max_mark", "definition": "10", "description": "", "group": "change these", "templateType": "anything"}, "statements_true": {"name": "statements_true", "definition": "[ \"$\\\\displaystyle \\\\int_0^1 \\\\cos(x) \\\\, dx = [\\\\sin(x)]^1_0$\",\n \"$\\\\displaystyle \\\\int_0^1 \\\\cos(t) \\\\, dt = [\\\\sin(t)]^1_0$\",\n \"$\\\\displaystyle \\\\int_0^1 -\\\\sin(t) \\\\, dt = [\\\\cos(t)]^1_0$\",\n \"$\\\\displaystyle \\\\int -\\\\cos(x) \\\\, dx = -\\\\sin(x)+c$\",\n \"$\\\\displaystyle \\\\int -\\\\sin(t) \\\\, dt = \\\\cos(t)+c$\",\n \"$\\\\sin^{-1}(1) = \\\\pi/2$\",\n \"When calculating areas in a graph using integration, doing a simple estimate is a good way of checking your answer.\",\n \"After integrating, you can check your answer by differentiating your answer.\",\n \"When using integration by parts, there are two potential choices for $u$ and $\\\\frac{dv}{dx}$.\",\n \"You can integrate $x\\\\sin(x), x\\\\cos(x)$ and $xe^x$ using integration by parts.\",\n \"When integrating by substitution with variables $x$ and $u$, you calculate $\\\\frac{du}{dx}$ or $\\\\frac{dx}{du}$, whichever is easier.\",\n \"To integrate $\\\\frac{1}{\\\\sqrt{1-x^2}}$, you can use the substitution $x=\\\\sin(u)$\",\n \"You can integrate $x\\\\sin(x^2), x\\\\cos(x^2)$ and $xe^{x^2}$ by reversing the chain rule.\"\n]", "description": "", "group": "change these", "templateType": "anything"}, "statements": {"name": "statements", "definition": "map(if(rand[j]=1,\n statements_true[j],\n statements_false[j]),j,0..n-1)", "description": "", "group": "do not change these", "templateType": "anything"}, "rand": {"name": "rand", "definition": "repeat(if(random(0..2)=2,1,0),n)", "description": "", "group": "do not change these", "templateType": "anything"}, "statements_false": {"name": "statements_false", "definition": "[ \"$\\\\displaystyle \\\\int_0^1 \\\\cos(x) \\\\, dt = [\\\\sin(x)]^1_0$\",\n \"$\\\\displaystyle \\\\int_0^1 \\\\sin(t) \\\\, dt = [\\\\cos(t)]^1_0$\",\n \"$\\\\displaystyle \\\\int_0^1 -\\\\sin(t) \\\\, dt = [\\\\cos(t)]$\",\n \"$\\\\displaystyle \\\\int -\\\\cos(x) \\\\, dx = [-\\\\sin(x)]^1_0$\",\n \"$\\\\displaystyle \\\\int -\\\\sin(t) \\\\, dt = \\\\cos(t)$\",\n \"$\\\\sin^{-1}(1) = \\\\frac{1}{\\\\sin(1)}$\",\n \"When calculating areas in a graph using integration, there is no way of checking your final answer.\",\n \"After integrating, there is no way of checking if you did it correctly.\",\n \"When integrating by parts, there is only one potential choice for $u$ and $\\\\frac{dv}{dx}$.\",\n \"You can integrate $x\\\\sin(x), x\\\\cos(x)$ and $xe^x$ using integration by substitution.\",\n \"When integrating by substitution with variables $x$ and $u$, you have to calculate $\\\\frac{du}{dx}$.\",\n \"To integrate $\\\\frac{1}{\\\\sqrt{1-x^2}}$, you can use the substitution $u=1-x^2$\",\n \"You can integrate $x\\\\sin(x^2), x\\\\cos(x^2)$ and $xe^{x^2}$ using integration by parts.\"\n]", "description": "", "group": "change these", "templateType": "anything"}, "marks": {"name": "marks", "definition": "matrix(map(if(rand[j]=1,[max_mark/n,-max_mark],[-max_mark,max_mark/n]),j,0..n-1))\n", "description": "", "group": "do not change these", "templateType": "anything"}, "n": {"name": "n", "definition": "length(statements_true)", "description": "", "group": "change these", "templateType": "anything"}}, "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/"}]}