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Larger number: [[1]].</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "-{b}/2", "minValue": "-{b}/2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{b}/2", "minValue": "{b}/2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Find two positive numbers whose product is $\\simplify{{c}^2}$ and whose sum is minimum.</p>\n<p>Smaller number: [[0]]. Larger number: [[1]].</p>\n<p>(If the numbers are the same size still be sure to fill in both boxes.)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{c}", "minValue": "{c}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{c}", "minValue": "{c}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>The sum of two positive numbers is {d}. 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specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Shapes of Graphs", "extensions": [], "custom_part_types": [], "resources": [["question-resources/graph1.pdf", "/srv/numbas/media/question-resources/graph1.pdf"], ["question-resources/graph1_1.jpg", "/srv/numbas/media/question-resources/graph1_1.jpg"], ["question-resources/graph2.jpg", "/srv/numbas/media/question-resources/graph2.jpg"], ["question-resources/graph3.jpg", "/srv/numbas/media/question-resources/graph3.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}], "functions": {}, "ungrouped_variables": [], "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"displayColumns": 0, "prompt": "<p><img src=\"resources/question-resources/graph1_1.jpg\"/></p>\n<p>The function is&nbsp;</p>", "matrix": [0, "1", 0], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Decreasing only</p>", "<p>Increasing only</p>", "<p>Both increasing and decreasing</p>"], "variableReplacementStrategy": "originalfirst", "maxMarks": 0, "distractors": ["", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": 0}, {"displayColumns": 0, "prompt": "<p><img src=\"resources/question-resources/graph2.jpg\"/></p>\n<p>On the interval [-1,0] the function is:&nbsp;</p>", "matrix": [0, 0, "1"], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Increasing only</p>", "<p>Decreasing only</p>", "<p>Both increasing and decreasing</p>"], "variableReplacementStrategy": "originalfirst", "maxMarks": 0, "distractors": ["", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", 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