[ { "page": 1, "items": [ { "page": 1, "type": "TITLE", "location": { "l": 113.04, "t": 720.96, "r": 493.92, "b": 691.2 }, "text": "Organic Chemistry - Worksheet #4", "reading_order": 0, "level": 1 }, { "page": 1, "type": "LIST_ITEM", "location": { "l": 27.36, "t": 674.64, "r": 430.08, "b": 655.44 }, "text": "Give the correct IUPAC name for the following organic compounds.", "marker": "1.", "list_id": "L1", "level": 0, "items": [ { "page": 1, "type": "LIST_ITEM", "location": { "l": 39.6, "t": 631.92, "r": 287.04, "b": 595.28 }, "text": "CH3-CH2-underset bigcirc CH - CH=CH- CH3", "marker": "a)", "list_id": "L1", "level": 1, "reading_order": 0 }, { "page": 1, "type": "LIST_ITEM", "location": { "l": 39.6, "t": 595.28, "r": 287.04, "b": 576.96 }, "text": "(CH3-CH-CH-CH-CH3)", "marker": "g)", "list_id": "L1", "level": 1, "reading_order": 1 } ], "reading_order": 1 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 73.44, "t": 631.2, "r": 286.32, "b": 577.92 }, "text": "", "alt": "Condensed formula: hexene chain with a double bond and a phenyl substituent on C3", "description_source": "claude-opus-4-8", "reading_order": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 38.88, "t": 554.4, "r": 60.72, "b": 530.4 }, "text": "b)", "reading_order": 3 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 73.92, "t": 562.56, "r": 179.76, "b": 511.2 }, "text": "", "alt": "Hand-drawn skeletal structure of ethylbenzene: benzene ring with a CH2-CH3 substituent", "description_source": "claude-opus-4-8", "reading_order": 4 }, { "page": 1, "type": "TEXT", "location": { "l": 36.24, "t": 479.52, "r": 56.4, "b": 457.68 }, "text": "c)", "reading_order": 5 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 67.68, "t": 505.68, "r": 142.8, "b": 438.48 }, "text": "", "alt": "Skeletal structure of a benzene ring with two methyl substituents (dimethylbenzene/xylene)", "description_source": "claude-opus-4-8", "reading_order": 6 }, { "page": 1, "type": "TEXT", "location": { "l": 34.56, "t": 411.6, "r": 56.88, "b": 384.72 }, "text": "d)", "reading_order": 7 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 70.08, "t": 415.2, "r": 148.32, "b": 365.04 }, "text": "", "alt": "Hand-drawn oxygen-containing ring with two adjacent methyl (CH3) substituents", "description_source": "claude-opus-4-8", "reading_order": 8 }, { "page": 1, "type": "TEXT", "location": { "l": 35.28, "t": 334.08, "r": 59.28, "b": 311.76 }, "text": "e)", "reading_order": 9 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 68.64, "t": 347.04, "r": 140.4, "b": 294.24 }, "text": "", "alt": "Skeletal structure of naphthalene (two fused benzene rings)", "description_source": "claude-opus-4-8", "reading_order": 10 }, { "page": 1, "type": "TEXT", "location": { "l": 308.88, "t": 632.64, "r": 527.52, "b": 573.12 }, "text": "g CH 3- CH - CH - CH 3\n\n CH 3", "reading_order": 11 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 347.28, "t": 631.92, "r": 526.56, "b": 573.84 }, "text": "", "alt": "Condensed structure: CH3-CH(CH3)-CH-CH3 chain with a phenyl (benzene ring) substituent", "description_source": "claude-opus-4-8", "reading_order": 12 }, { "page": 1, "type": "TEXT", "location": { "l": 306, "t": 555.6, "r": 330.48, "b": 531.36 }, "text": "h)", "reading_order": 13 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 332.4, "t": 580.8, "r": 415.68, "b": 502.8 }, "text": "", "alt": "Hand-drawn skeletal structure of naphthalene with two bromine substituents", "description_source": "claude-opus-4-8", "reading_order": 14 }, { "page": 1, "type": "TEXT", "location": { "l": 311.04, "t": 484.08, "r": 330, "b": 456.96 }, "text": "i)", "reading_order": 15 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 333.6, "t": 506.4, "r": 594.24, "b": 427.92 }, "text": "", "alt": "Hand-drawn structure: branched carbon chain with methyl, bromo, two phenyl, and nitro substituents, two double bonds", "description_source": "claude-opus-4-8", "reading_order": 16 }, { "page": 1, "type": "TEXT", "location": { "l": 301.68, "t": 412.32, "r": 321.84, "b": 380.64 }, "text": "i)", "reading_order": 17 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 329.04, "t": 426, "r": 461.52, "b": 340.8 }, "text": "", "alt": "Hand-drawn naphthalene with two NO2 groups, a methyl, and a propyl substituent", "description_source": "claude-opus-4-8", "reading_order": 18 }, { "page": 1, "type": "TEXT", "location": { "l": 386.16, "t": 333.36, "r": 419.28, "b": 310.32 }, "text": "NH2", "reading_order": 19 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 469.44, "t": 357.84, "r": 580.8, "b": 312.48 }, "text": "", "alt": "Hand-drawn bond-line fragment: cyclohexane ring with NO2 and Br substituents", "description_source": "claude-opus-4-8", "reading_order": 20 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 233.52, "t": 344.16, "r": 605.52, "b": 248.4 }, "text": "", "alt": "Bond-line structure: carbon chain with two triple bonds, phenyl groups, and NH2, NO2, Br, Cl, CH3 substituents", "description_source": "claude-opus-4-8", "reading_order": 21 }, { "page": 1, "type": "TEXT", "location": { "l": 232.32, "t": 311.76, "r": 259.2, "b": 285.12 }, "text": "k)", "reading_order": 22 }, { "page": 1, "type": "TEXT", "location": { "l": 36.24, "t": 267.12, "r": 63.36, "b": 236.16 }, "text": "f)", "reading_order": 23 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 72.24, "t": 272.4, "r": 179.76, "b": 192.96 }, "text": "", "alt": "Skeletal structure of a naphthalene ring system with methyl and bromo substituents", "description_source": "claude-opus-4-8", "reading_order": 24 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 231.6, "t": 243.36, "r": 532.32, "b": 104.16 }, "text": "", "alt": "Hand-drawn eight-membered ring with methyl, pentyl, two nitro, ethyl, F, Br, phenyl and cyclopentyl substituents", "description_source": "claude-opus-4-8", "reading_order": 25 }, { "page": 1, "type": "TEXT", "location": { "l": 228.48, "t": 237.84, "r": 250.8, "b": 209.76 }, "text": "(1)", "reading_order": 26 } ] }, { "page": 2, "items": [ { "page": 2, "type": "TEXT", "location": { "l": 43.68, "t": 692.88, "r": 77.28, "b": 680.4 }, "text": "Name", "reading_order": 0 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 324.72, "t": 744, "r": 375.84, "b": 725.76 }, "text": "Rules:", "reading_order": 1 }, { "page": 2, "type": "TITLE", "location": { "l": 231.12, "t": 722.16, "r": 391.92, "b": 708.72 }, "text": "Practice Test 4 Business Calculus", "reading_order": 2, "level": 2 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 408.24, "t": 749.04, "r": 597.12, "b": 654.48 }, "text": "integral xn dx = (xn+1)/(n+1)+C integral dx =; x+C", "latex": "\\begin{array}{c} \\int x^{n} dx=\\frac{x^{n+1}}{n+1}+C \\quad \\int dx=\\\\ x+C \\end{array}", "reading_order": 3 }, { "page": 2, "type": "TEXT", "location": { "l": 43.68, "t": 651.12, "r": 508.32, "b": 638.88 }, "text": "MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.", "reading_order": 4 }, { "page": 2, "type": "TEXT", "location": { "l": 43.68, "t": 629.52, "r": 88.56, "b": 618.24 }, "text": "Evaluate.", "reading_order": 5 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 74.88, "t": 615.84, "r": 469.68, "b": 433.68 }, "text": "1) integral (7x2+1) d x; A)14x+C B)x+C C)7/3x3+x+C D)7/3x3+C; = 7underbrace (x2+1)/(2+1) + x+C = 7(x3)/3+x+C;; 2) integral over 20 of dx; A)10x2 B)20x+C C)0 D)20+C; = 20x+C;", "latex": "\\begin{aligned}&1)\\int(7x^{2}+1)\\mathrm{d}x\\\\ &\\quad A)14x+C\\quad B)x+C\\quad C)\\frac{7}{3}x^{3}+x+C\\quad D)\\frac{7}{3}x^{3}+C\\\\ &=7\\underbrace{\\frac{x^{2+1}}{2+1}}_{}+\\quad x+C=7\\frac{x^{3}}{3}+x+C\\\\ &\\\\ &2)\\int_{20}^{}dx\\\\ &\\quad A)10x^{2}\\quad B)20x+C\\quad C)0\\quad D)20+C\\\\ &=20x+C\\\\ \\end{aligned}", "reading_order": 6 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 508.08, "t": 624.24, "r": 565.68, "b": 571.92 }, "text": "1) C", "latex": "_{1)}\\underline{\\mathrm{C}}", "reading_order": 7 }, { "page": 2, "type": "TEXT", "location": { "l": 508.08, "t": 508.56, "r": 564.96, "b": 462.48 }, "text": "2) B", "reading_order": 8 }, { "page": 2, "type": "FIGURE", "location": { "l": 508.56, "t": 415.44, "r": 564.72, "b": 391.68 }, "text": "", "alt": "Handwritten mark", "description_source": "claude-opus-4-8", "reading_order": 9 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 77.52, "t": 413.04, "r": 543.36, "b": 317.28 }, "text": "\\[\\begin{align*}&\text{3)}~~\\int7x^{-3}\\,\text{d}x\\\\&\\", "latex": "\\[\\begin{align*}&\text{3)}~~\\int7x^{-3}\\,\text{d}x\\\\&\\", "reading_order": 10 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 74.64, "t": 296.88, "r": 557.28, "b": 60.24 }, "text": "begin align* 4) integral 12x3root(x) d x; textcircled A 8/3x9/2+C; = 12 integral x3· x1/2 d x = 12 integral x3+1/2 d x =; = 12 integral x7/2 d x = 12(x7/2+1)/(7/2+1)+C; = (12xfrac 9 2)/(frac 9 2)+C = frac 4 12 ·frac 2 9 xfrac 9 2+C = frac 8 3 xfrac 9 2+Cend align*", "latex": "\\begin{align*}&4)\\quad\\int12x^{3}\\sqrt{x}\\mathrm{d}x\\\\&\\quad\\textcircled{A}\\frac{8}{3}x^{9/2}+C\\\\&=12\\int x^{3}\\cdot x^{\\frac{1}{2}}\\mathrm{d}x=12\\int x^{3+\\frac{1}{2}}\\mathrm{d}x=\\\\&=12\\int x^{\\frac{7}{2}}\\mathrm{d}x=12\\frac{x^{\\frac{7}{2}+1}}{\\frac{7}{2}+1}+C\\\\&=\\frac{12x^{\\frac{9}{2}}}{\\frac{9}{2}}+C=\\frac{4}{12}\\cdot\\frac{2}{9}x^{\\frac{9}{2}}+C=\\frac{8}{3}x^{\\frac{9}{2}}+C\\end{align*}", "reading_order": 11 } ] } ]