[ { "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": "TEXT", "location": { "l": 38.88, "t": 554.4, "r": 60.72, "b": 530.4 }, "text": "b)", "reading_order": 2 }, { "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 group", "description_source": "claude-opus-4-8", "reading_order": 3 }, { "page": 1, "type": "TEXT", "location": { "l": 36.24, "t": 479.52, "r": 56.4, "b": 457.68 }, "text": "c)", "reading_order": 4 }, { "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": 5 }, { "page": 1, "type": "TEXT", "location": { "l": 34.56, "t": 411.6, "r": 56.88, "b": 384.72 }, "text": "d)", "reading_order": 6 }, { "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 methyl (CH3) substituents on adjacent carbons", "description_source": "claude-opus-4-8", "reading_order": 7 }, { "page": 1, "type": "TEXT", "location": { "l": 35.28, "t": 334.08, "r": 59.28, "b": 311.76 }, "text": "e)", "reading_order": 8 }, { "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": 9 }, { "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": 10 }, { "page": 1, "type": "TEXT", "location": { "l": 306, "t": 555.6, "r": 330.48, "b": 531.36 }, "text": "h)", "reading_order": 11 }, { "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": 12 }, { "page": 1, "type": "TEXT", "location": { "l": 311.04, "t": 484.08, "r": 330, "b": 456.96 }, "text": "i)", "reading_order": 13 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 333.6, "t": 506.4, "r": 594.24, "b": 427.92 }, "text": "", "alt": "Hand-drawn bond-line chain with methyl, Br, two phenyl and NO2 substituents and two C=C double bonds", "description_source": "claude-opus-4-8", "reading_order": 14 }, { "page": 1, "type": "TEXT", "location": { "l": 301.68, "t": 412.32, "r": 321.84, "b": 380.64 }, "text": "i)", "reading_order": 15 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 329.04, "t": 426, "r": 461.52, "b": 340.8 }, "text": "", "alt": "Hand-drawn naphthalene ring with two NO2 groups, a methyl group, and a propyl chain", "description_source": "claude-opus-4-8", "reading_order": 16 }, { "page": 1, "type": "TEXT", "location": { "l": 386.16, "t": 333.36, "r": 419.28, "b": 310.32 }, "text": "NH2", "reading_order": 17 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 469.44, "t": 357.84, "r": 580.8, "b": 312.48 }, "text": "", "alt": "Hand-drawn bond-line fragments: cyclohexane ring, plus chain carbons bearing NO2 and Br substituents", "description_source": "claude-opus-4-8", "reading_order": 18 }, { "page": 1, "type": "TEXT", "location": { "l": 232.32, "t": 311.76, "r": 259.2, "b": 285.12 }, "text": "k)", "reading_order": 19 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 233.52, "t": 344.16, "r": 605.52, "b": 248.4 }, "text": "", "alt": "Hand-drawn bond-line structure with two triple bonds, phenyl rings, and NH2, NO2, CH3, Br, Cl substituents", "description_source": "claude-opus-4-8", "reading_order": 20 }, { "page": 1, "type": "TEXT", "location": { "l": 36.24, "t": 267.12, "r": 63.36, "b": 236.16 }, "text": "f)", "reading_order": 21 }, { "page": 1, "type": "DISPLAY_FORMULA", "location": { "l": 72.24, "t": 272.4, "r": 179.76, "b": 192.96 }, "text": "", "alt": "Bond-line naphthalene structure with a methyl and a bromo substituent", "description_source": "claude-opus-4-8", "reading_order": 22 }, { "page": 1, "type": "TEXT", "location": { "l": 228.48, "t": 237.84, "r": 250.8, "b": 209.76 }, "text": "(1)", "reading_order": 23 }, { "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": 24 } ] }, { "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": "TEXT", "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; integral ex dx = ex+C; integral 1/x dx = integral x-1 dx = ln|x|+C", "latex": "\\begin{aligned}\n&\\int x^{n}\\,dx=\\frac{x^{n+1}}{n+1}+C \\qquad \\int dx=x+C\\\\\n&\\int e^{x}\\,dx=e^{x}+C\\\\\n&\\int \\frac{1}{x}\\,dx=\\int x^{-1}\\,dx=\\ln|x|+C\n\\end{aligned}", "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 textcircled C) 7/3x3+x+C D) 7/3x3+C; = 7 (x2+1)/(2+1)+ x+C = 7 (x3)/3+x+C; [2ex] 2) integral 20 d x; A) 10x2 textcircled B) 20x+C C) 0 D) 20+C; = 20x+C", "latex": "\\begin{aligned}\n&1)\\int(7x^{2}+1)\\,\\mathrm{d}x\\\\\n&\\quad A)\\,14x+C\\qquad B)\\,x+C\\qquad \\textcircled{C})\\,\\frac{7}{3}x^{3}+x+C\\qquad D)\\,\\frac{7}{3}x^{3}+C\\\\\n&=7\\,\\frac{x^{2+1}}{2+1}+\\;x+C=7\\,\\frac{x^{3}}{3}+x+C\\\\[2ex]\n&2)\\int 20\\,\\mathrm{d}x\\\\\n&\\quad A)\\,10x^{2}\\qquad \\textcircled{B})\\,20x+C\\qquad C)\\,0\\qquad D)\\,20+C\\\\\n&=20x+C\n\\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": "LIST_ITEM", "location": { "l": 508.08, "t": 508.56, "r": 564.96, "b": 462.48 }, "text": "B", "marker": "2)", "list_id": "L2", "level": 0, "reading_order": 8 }, { "page": 2, "type": "LIST_ITEM", "location": { "l": 508.56, "t": 415.44, "r": 564.72, "b": 391.68 }, "text": "D", "marker": "3)", "list_id": "L2", "level": 0, "reading_order": 9 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 77.52, "t": 413.04, "r": 543.36, "b": 317.28 }, "text": "3) integral 7x-3 dx 3) textcircled D; A) x+7C B) -21x+C C) 7x3 textcircled D -7/(2x2)+C; = 7 (x-3+1)/(-3+1) + C = 7(x-2)/(-2) + C = -7/2·1/(x2) + C", "latex": "\\begin{aligned}\n&\\text{3)}\\quad \\int 7x^{-3}\\,dx \\qquad\\qquad\\qquad\\qquad\\qquad\\qquad\\qquad\\qquad \\text{3)}\\ \\underline{\\ \\textcircled{D}\\ }\\\\\n&\\text{A) } x+7C \\qquad \\text{B) } -21x+C \\qquad \\text{C) } 7x^{3} \\qquad \\textcircled{D}\\ -\\frac{7}{2x^{2}}+C\\\\\n&= 7\\,\\frac{x^{-3+1}}{-3+1} + C = 7\\frac{x^{-2}}{-2} + C = -\\frac{7}{2}\\cdot\\frac{1}{x^{2}} + C\n\\end{aligned}", "reading_order": 10 }, { "page": 2, "type": "DISPLAY_FORMULA", "location": { "l": 74.64, "t": 296.88, "r": 557.28, "b": 60.24 }, "text": "4) integral 12x3root(x) d x 4) A; [4pt] textcircled A 8/3x9/2+C B) 11/5x9/2+C C) 24/7x9/2+C D) 2/9x9/2+C; [6pt] = 12 integral x3· x1/2 d x = 12 integral x3+1/2 d x =; [4pt] = 12 integral x7/2 d x = 12 (xfrac 7 2 +1)/(frac 7 2 +1)+C; [4pt] = frac 12xfrac 9 2 frac 9 2 +C = overset 4 cancel 12 ·frac 2 underset 3 cancel 9 xfrac 9 2+C = frac 8 3 xfrac 9 2+C", "latex": "\\begin{aligned}\n&4)\\quad\\int 12x^{3}\\sqrt{x}\\,\\mathrm{d}x \\qquad\\qquad 4)\\ \\underline{\\textbf{A}}\\\\[4pt]\n&\\textcircled{A}\\ \\frac{8}{3}x^{9/2}+C \\qquad B)\\ \\frac{11}{5}x^{9/2}+C \\qquad C)\\ \\frac{24}{7}x^{9/2}+C \\qquad D)\\ \\frac{2}{9}x^{9/2}+C\\\\[6pt]\n&=12\\int x^{3}\\cdot x^{\\frac{1}{2}}\\,\\mathrm{d}x=12\\int x^{3+\\frac{1}{2}}\\,\\mathrm{d}x=\\\\[4pt]\n&=12\\int x^{\\frac{7}{2}}\\,\\mathrm{d}x=12\\,\\frac{x^{\\frac{7}{2}+1}}{\\frac{7}{2}+1}+C\\\\[4pt]\n&=\\frac{12x^{\\frac{9}{2}}}{\\frac{9}{2}}+C=\\overset{\\displaystyle 4}{\\cancel{12}}\\cdot\\frac{2}{\\underset{\\displaystyle 3}{\\cancel{9}}}x^{\\frac{9}{2}}+C=\\frac{8}{3}x^{\\frac{9}{2}}+C\n\\end{aligned}", "reading_order": 11 } ] } ]