// Numbas version: exam_results_page_options
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Find \\((g\\circ f)'(0)\\).</p>\n<p><i>Hint: First, find \\(g(f(x))\\). Then, differentiate \\(g(f(x))\\). Finally, set \\(x=0\\).</i></p>", "minValue": "0", "maxValue": "0", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find the remainder when \\(x^{4}+1\\) is divided by \\(x-1\\).</p>", "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 4", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Solve \\(\\sin^{2}\\theta+\\cos(2\\theta)=0\\) for \\(\\theta\\in[0,\\pi]\\), correct to \\(1\\) decimal place.</p>", "minValue": "1.6", "maxValue": "1.6", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 5", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Evaluate \\(\\displaystyle\\int_{0}^{4}6x\\sqrt{x^{2}+9}\\,dx\\).</p>", "minValue": "196", "maxValue": "196", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 6", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Let \\(f(x)=2x+1\\). Find \\(f^{-1}(5)\\).</p>", "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 7", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The equation of motion of a particle is given by \\(\\dfrac{d^{2}x}{dt^{2}}=-36(x-2)\\). What is the centre of motion?</p>", "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 8", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In how many ways can you rearrange the letters in the word MATHS?</p>", "minValue": "120", "maxValue": "120", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 9", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In how many ways can a team of \\(3\\) be chosen from a pool of \\(10\\) potential candidates?</p>", "minValue": "120", "maxValue": "120", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Question 10", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine the constant term in \\((2x-3)^{7}\\).</p>", "minValue": "-2187", "maxValue": "-2187", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": false, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": "", "allowAttemptDownload": false, "downloadEncryptionKey": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "<p>Welcome.<br /><br />This is a self-diagnostic tool you can use to determine if our <a href=\"https://cce.sydney.edu.au/course/FSB3\" target=\"_blank\" rel=\"noopener\">Extension 1 Mathematics Bridging Course</a> is appropriate for you.<br /><br />If you wish to discuss your situation with a member of staff you can reach out to <a href=\"mailto:learninghub.mathematics@sydney.edu.au\" target=\"_blank\" rel=\"noopener\">learninghub.mathematics@sydney.edu.au</a>.</p>\n<p></p>\n<hr />\n<p></p>\n<p><strong>Are you enrolling or have enrolled into a degree that has an <em>assumed knowledge</em> of Mathematics Extension 1?</strong></p>\n<p><br />You can check the assumed knowledge requirements of your degree here on the <a href=\"https://www.sydney.edu.au/courses/search.html?search-type=course&amp;page=1\" target=\"_blank\" rel=\"noopener\">Sydney Courses website</a>.<br /><br /></p>\n<p><strong>If your answer is Yes:</strong></p>\n<p>Please take this brief self-diagnostic quiz.</p>\n<p>It is not a test and your answers are not recorded.</p>\n<p>If at the end of the quiz you found these questions challenging or had trouble completing the quiz, you may find some of the coursework in your intended degree difficult. <strong>We strongly recommend</strong> enrolling into our <a href=\"https://cce.sydney.edu.au/course/FSB3\">Extension 1 Bridging Course</a> before your semester begins.</p>\n<p>If you are enrolled at the University of Sydney please also connect with the <a href=\"https://www.sydney.edu.au/students/learning-hub-mathematics.html\">Learning Hub (Mathematics)</a> to receive ongoing support and help during the semester.</p>\n<p>&nbsp;</p>\n<p><strong>If your answer is No:</strong></p>\n<p>You may not need to take the <a href=\"https://cce.sydney.edu.au/course/FSB3\">Extension 1 Mathematics Bridging Course</a>, but are welcome to do so if you wish to strengthen your mathematics.</p>\n<p>If you are enrolled at the University of Sydney then the <a href=\"https://www.sydney.edu.au/students/learning-hub-mathematics.html\">Learning Hub (Mathematics)</a> is also available for additional support and help during the semester.</p>\n<p></p>", "end_message": "<p>If you found these questions challenging or had trouble completing the quiz, you may find some of the coursework in your intended degree difficult. <strong>We strongly recommend</strong> enrolling into our <a href=\"https://cce.sydney.edu.au/course/FSB3\" target=\"_blank\" rel=\"noopener\">Extension 1 Bridging Course</a> before your semester begins.<br /><br />If you are enrolled at the University of Sydney please also connect with the <a href=\"https://www.sydney.edu.au/students/learning-hub-mathematics.html\" target=\"_blank\" rel=\"noopener\">Learning Hub (Mathematics)</a> to receive ongoing support and help during the semester.</p>", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "extensions": [], "custom_part_types": [], "resources": []}