xxxii Applications Index Cryptography matrix, 811 passwords, 924 Demographics evenness ratio, 324 life expectancy, A85 marital status, 916 population as a function of age, 76 population decline, 363 population growth, 363, 365, 854, 909, 940, 978 population model, 343, 372 Shannon’s diversity index, 324 world population, 378, 854 Design of an awning, 568 of a ceramic floor, 873 of a closed box, 257 of a decorative piece, 410–411 of a fighter jet, 581 of a mosaic, 874 of a mosaic tile floor, 907 of an open box, 257 product design, 846 of a racetrack, 703 of a water sprinkler, 394 Direction of an aircraft, 626, 648, 649 compass headings, 649 of a swimmer, 678 Distance across a pond, 555 from Chicago to Honolulu, 486 between Earth and Mercury, 568 from Earth to Mercury, 568 from Earth to Moon, 567 from Earth to Sun, 703 from Earth to a star, 555–556 from Earth to Venus, 569 from Mars to Sun, 703 to the green in golf, 574 height of an airplane, 567, 568 of bridge over the Royal Gorge, 567 of the Eiffel Tower, 555 of Gibb’s Hill Lighthouse, 552 of Great Pyramid of Cheops, 568 of a helicopter, 594 of a hot-air balloon, 556 of Lincoln’s face on Mt. Rushmore, 557 of a mountain, 563–564, 566 of Niagara Falls Incline Railway, 556 of One World Trade Center, 558 of a tree, 567 of Washington Monument, 556 of Willis Tower, 556 from Honolulu to Melbourne, Australia, 486 from Jupiter to Sun, 703 length cookie orders, 850–851 five-digit numbers, 915 forming codes, 914, 917–918, 923 forming committees, 921, 923, 924, 937 forming different words, 922 forming license plate numbers, 924 forming numbers, 923 forming teams, 924 forming words, 924 four-digit numbers, 915 license plate numbers, 937 lining people up, 918, 923 mixing a solution, 767 mixing candy, A74 mixing nuts, 766, 839, 851, A74 mixing water and antifreeze, A75 passwords, 924 selecting objects, 924 shirts and ties, 915 spring break, 846 stacking boxes, 923 stocking a store, 937 stocks on NASDAQ, 923 stocks on NYSE, 923 telephone numbers, 937 vitamins, 767, 783 World Series wins, 924 Communications cell phone rates, 46, A86 data plans, 60, 136 phone charges, 147 satellite dish, 688–689, 691 satellite receiver, 727 smartphone users, 364 social networking, 365, 372 telephone numbers, 937 texting speed, 258 touch tone phones, 538 Computers and computing computer graphics, 650 mind mapping, 471, 544 websites map, 811 three-click rule, 811 Construction of an access ramp, 47 of a box, 829, A72–A73, A76 closed, 135 open, 130–131 of a brick staircase, 874, 907 of a coffee can, A75 of a cylindrical tube, 829 of a deck around a pond, A74 of a flashlight, 691 of a headlight, 691 of a highway, 556, 568, 594 of a loading ramp, 567 of a rain gutter, 177, 404, 533, 547 of a searchlight, 691 of a stadium, 177, 874 of a swimming pool deck, A21 of a TV dish, 691 RV rental, 186 sales of cars, wages of a salesperson, 46 net, 19 sales commissions, 111, 185 transporting goods, 839 truck rentals, 46 Uber rates, A86 Calculus approximating values, 867 average rate of change, 93–96, 98, 139–142, 951 carrying a ladder around a corner, 450, 501 concavity test, 170 difference quotient, 311, 522 discontinuities, 258 increasing/decreasing/constant functions, 142, 170 instantaneous rate of change, 967, 968, 976–977 Intermediate Value Theorem, 225 maxima/minima in, 98 mean value theorem, 99 Newton’s Method, 246 polar equations, 623–624 polynomial functions, 190–191, 213 real zeros, 219–221, 228 secant line, 95–96, 98 Simpson’s Rule, 178–179 tangent line, 962 turning points, 202 Carpentry. See also Construction pitch, 48, 557 Chemistry chemical reactions, 169 chlorine decomposition, 364 dinitrogen pentoxide decomposition, 364 pH of a solution, 324 purity of gold, A75 radioactive decay, 357, 363–364, 371, 378 salt decomposition in water, 364 salt solutions, A75 sucrose decomposition, 364 sugar molecules, A75 volume of a gas, A86 Combinatorics airport codes, 917 answers on multiple-choice test, 924 answers on true/false test, 923 arranging books, 924 arranging flags, 922, 937 banquet seating, 846 baseball game outcomes, 937 binary codes, 937 birthdays, 919, 924 blending coffee, 839, 850, A69, A74 blending teas, A74 blouses and skirts, 915 cement mix, A75 choosing a running team, 937 combination locks, 924
RkJQdWJsaXNoZXIy NjM5ODQ=