,Index of Applications
BIOLOGY AND LIFE SCIENCES Petroleum production, 292 MATHEMATICS AND GEOMETRY
Age distribution vector, 378, 391, 392, 395 Profit, from crops, 50 Adjoint of a matrix, 134, 135, 142, 146, 150
Age progression software, 180 Purchase of a product, 91 Collinear points in the xy-plane, 139, 143
Age transition matrix, 378, 391, 392, 395 Revenue Conic section(s), 226, 229
Agriculture, 37, 50 fast-food stand, 242 general equation, 141
Cosmetic surgery results simulation, 180 General Dynamics Corporation, 266, 276 rotation of axes, 221–224, 226, 229,
Duchenne muscular dystrophy, 365 Google, Inc., 291 383–385, 392, 395
Galloping speeds of animals, 276 telecommunications company, 242 Constrained optimization, 389, 390, 392,
Genetics, 365 software publishers, 143 395
Health care expenditures, 146 Sales, 37 Contraction in R2, 337, 341, 342
Heart rhythm analysis, 255 concession area, 42 Coplanar points in space, 140, 143
Hemophilia A, 365 stocks, 92 Cramer’s Rule, 130, 136, 137, 142, 143, 146
Hereditary baldness, 365 Wal-Mart, 32 Cross product of two vectors, 277–280,
Nutrition, 11 Sales promotion, 106 288, 289, 294
Population Satellite television service, 85, 86, 147 Differential equation(s)
Software publishing, 143 linear, 218, 225, 226, 229
of deer, 37
second order, 164
of laboratory mice, 91
system of first order, 354, 380, 381,
of rabbits, 379 ENGINEERING AND TECHNOLOGY 391, 392, 395, 396, 398
of sharks, 396
Aircraft design, 79 Expansion in R2, 337, 341, 342, 345
of small fish, 396
Circuit design, 322 Fibonacci sequence, 396
Population age and growth over time, 331
Computer graphics, 338 Fourier approximation(s), 285–287, 289, 292
Population genetics, 365
Computer monitors, 190 Geometry of linear transformations in R2,
Population growth, 378, 379, 391, 392, 336–338, 341, 342, 345
Control system, 314
395, 396, 398 Hessian matrix, 375
Controllability matrix, 314
Predator-prey relationship, 396 Jacobian, 145
Cryptography, 94–96, 102, 107
Red-green color blindness, 365 Lagrange multiplier, 34
Data encryption, 94
Reproduction rates of deer, 103 Laplace transform, 130
Decoding a message, 96, 102, 107
Sex-linked inheritance, 365 Least squares approximation(s), 281–284, 289
Digital signal processing, 172
Spread of a virus, 91, 93 linear, 282, 289, 292
Electrical network analysis, 30, 31, 34, 37,
Vitamin C content, 11 quadratic, 283, 289, 292
150
Wound healing simulation, 180 Linear programming, 47
Electronic equipment, 190
X-linked inheritance, 365 Magnification in R2, 341, 342
Encoding a message, 95, 102, 107
Encryption key, 94 Mathematical modeling, 273, 274, 276
BUSINESS AND ECONOMICS Parabola passing through three points, 150
Engineering and control, 130
Partial fraction decomposition, 34, 37
Airplane allocation, 91 Error checking
Polynomial curve fitting, 25–28, 32, 34, 37
Borrowing money, 23 digit, 200
Quadratic form(s), 382–388, 392, 395, 398
Demand, for a rechargeable power drill, 103 matrix, 200
Quadric surface, rotation of, 388, 392
Demand matrix, external, 98 Feed horn, 223
Reflection in R2, 336, 341, 342, 345, 346
Economic system, 97, 98 Global Positioning System, 16
Relative maxima and minima, 375
of a small community, 103 Google’s Page Rank algorithm, 86 Rotation
Finance, 23 Image morphing and warping, 180 in R2, 303, 343, 393, 397
Fundraising, 92 Information retrieval, 58 in R3, 339, 340, 342, 345
Gasoline sales, 105 Internet search engine, 58 Second Partials Test for relative extrema, 375
Industrial system, 102, 107 Ladder network, 322 Shear in R2, 337, 338, 341, 342, 345
Input-output matrix, 97 Locating lost vessels at sea, 16 Taylor polynomial of degree 1, 282
Leontief input-output model(s), 97, 98, 103 Movie special effects, 180 Three-point form of the equation of a plane,
Major League Baseball salaries, 107 Network analysis, 29–34, 37 141, 143, 146
Manufacturing Radar, 172 Translation in R2, 308, 343
labor and material costs, 105 Sampling, 172 Triple scalar product, 288
models and prices, 150 Satellite dish, 223 Two-point form of the equation of a line,
production levels, 51, 105 Smart phones, 190 139, 143, 146, 150
Net profit, Microsoft, 32 Televisions, 190 Unit circle, 253
Output matrix, 98 Wireless communications, 172 Wronskian, 219, 225, 226, 229
Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
,PHYSICAL SCIENCES Newton’s Second Law of Motion, 164 Smokers and nonsmokers, 91
Acoustical noise levels, 28 Ohm’s Law, 322 Sports
Airplane speed, 11 Pendulum, 225 activities, 91
Area Planetary periods, 27, 274 Super Bowl I, 36
of a parallelogram using cross product, Primary additive colors, 190 Television watching, 91
279, 280, 288, 294 RGB color model, 190 Test scores, 108
of a triangle Stiffness matrix, 64, 72
using cross product, 289 Temperature, 34
STATISTICS AND PROBABILITY
using determinants, 138, 142, 146, Torque, 277
Traffic flow, 28, 33 Canonical regression analysis, 304
150 Least squares regression
Astronomy, 27, 274 Undamped system, 164
Unit cell, 213 analysis, 99–101, 103, 107, 265, 271–276
Balancing a chemical equation, 4 cubic polynomial, 276
Beam deflection, 64, 72 end-centered monoclinic, 213
Vertical motion, 37 line, 100, 103, 107, 271, 274, 276, 296
Chemical quadratic polynomial, 273, 276
changing state, 91 Volume
of a parallelepiped, 288, 289, 292 Leslie matrix, 331, 378
mixture, 37 Markov chain, 85, 86, 92, 93, 106
reaction, 4 of a tetrahedron, 114, 140, 143
Water flow, 33 absorbing, 89, 90, 92, 93, 106
Comet landing, 141 Multiple regression analysis, 304
Computational fluid dynamics, 79 Wind energy consumption, 103
Work, 248 Multivariate statistics, 304
Crystallography, 213 State matrix, 85, 106, 147, 331
Degree of freedom, 164 Steady state probability vector, 386
Diffusion, 354 Stochastic matrices, 84–86, 91–93, 106, 331
SOCIAL SCIENCES AND
Dynamical systems, 396
Earthquake monitoring, 16 DEMOGRAPHICS
Electric and magnetic flux, 240 Caribbean Cruise, 106 MISCELLANEOUS
Flexibility matrix, 64, 72 Cellular phone subscribers, 107 Architecture, 388
Force Consumer preference model, 85, 86, 92, 147 Catedral Metropolitana Nossa Senhora
matrix, 72 Final grades, 105 Aparecida, 388
to pull an object up a ramp, 157 Grade distribution, 92 Chess tournament, 93
Geophysics, 172 Master’s degrees awarded, 276 Classified documents, 106
Grayscale, 190 Politics, voting apportionment, 51 Determining directions, 16
Hooke’s Law, 64 Population Dominoes, A2
Kepler’s First Law of Planetary Motion, 141 of consumers, 91 Flight crew scheduling, 47
Kirchhoff’s Laws, 30, 322 regions of the United States, 51 Sudoku, 120
Lattice of a crystal, 213 of smokers and nonsmokers, 91 Tips, 23
Mass-spring system, 164, 167 United States, 32 U.S. Postal Service, 200
Mean distance from the sun, 27, 274 world, 273 ZIP + 4 barcode, 200
Natural frequency, 164 Population migration, 106
Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
, Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
BIOLOGY AND LIFE SCIENCES Petroleum production, 292 MATHEMATICS AND GEOMETRY
Age distribution vector, 378, 391, 392, 395 Profit, from crops, 50 Adjoint of a matrix, 134, 135, 142, 146, 150
Age progression software, 180 Purchase of a product, 91 Collinear points in the xy-plane, 139, 143
Age transition matrix, 378, 391, 392, 395 Revenue Conic section(s), 226, 229
Agriculture, 37, 50 fast-food stand, 242 general equation, 141
Cosmetic surgery results simulation, 180 General Dynamics Corporation, 266, 276 rotation of axes, 221–224, 226, 229,
Duchenne muscular dystrophy, 365 Google, Inc., 291 383–385, 392, 395
Galloping speeds of animals, 276 telecommunications company, 242 Constrained optimization, 389, 390, 392,
Genetics, 365 software publishers, 143 395
Health care expenditures, 146 Sales, 37 Contraction in R2, 337, 341, 342
Heart rhythm analysis, 255 concession area, 42 Coplanar points in space, 140, 143
Hemophilia A, 365 stocks, 92 Cramer’s Rule, 130, 136, 137, 142, 143, 146
Hereditary baldness, 365 Wal-Mart, 32 Cross product of two vectors, 277–280,
Nutrition, 11 Sales promotion, 106 288, 289, 294
Population Satellite television service, 85, 86, 147 Differential equation(s)
Software publishing, 143 linear, 218, 225, 226, 229
of deer, 37
second order, 164
of laboratory mice, 91
system of first order, 354, 380, 381,
of rabbits, 379 ENGINEERING AND TECHNOLOGY 391, 392, 395, 396, 398
of sharks, 396
Aircraft design, 79 Expansion in R2, 337, 341, 342, 345
of small fish, 396
Circuit design, 322 Fibonacci sequence, 396
Population age and growth over time, 331
Computer graphics, 338 Fourier approximation(s), 285–287, 289, 292
Population genetics, 365
Computer monitors, 190 Geometry of linear transformations in R2,
Population growth, 378, 379, 391, 392, 336–338, 341, 342, 345
Control system, 314
395, 396, 398 Hessian matrix, 375
Controllability matrix, 314
Predator-prey relationship, 396 Jacobian, 145
Cryptography, 94–96, 102, 107
Red-green color blindness, 365 Lagrange multiplier, 34
Data encryption, 94
Reproduction rates of deer, 103 Laplace transform, 130
Decoding a message, 96, 102, 107
Sex-linked inheritance, 365 Least squares approximation(s), 281–284, 289
Digital signal processing, 172
Spread of a virus, 91, 93 linear, 282, 289, 292
Electrical network analysis, 30, 31, 34, 37,
Vitamin C content, 11 quadratic, 283, 289, 292
150
Wound healing simulation, 180 Linear programming, 47
Electronic equipment, 190
X-linked inheritance, 365 Magnification in R2, 341, 342
Encoding a message, 95, 102, 107
Encryption key, 94 Mathematical modeling, 273, 274, 276
BUSINESS AND ECONOMICS Parabola passing through three points, 150
Engineering and control, 130
Partial fraction decomposition, 34, 37
Airplane allocation, 91 Error checking
Polynomial curve fitting, 25–28, 32, 34, 37
Borrowing money, 23 digit, 200
Quadratic form(s), 382–388, 392, 395, 398
Demand, for a rechargeable power drill, 103 matrix, 200
Quadric surface, rotation of, 388, 392
Demand matrix, external, 98 Feed horn, 223
Reflection in R2, 336, 341, 342, 345, 346
Economic system, 97, 98 Global Positioning System, 16
Relative maxima and minima, 375
of a small community, 103 Google’s Page Rank algorithm, 86 Rotation
Finance, 23 Image morphing and warping, 180 in R2, 303, 343, 393, 397
Fundraising, 92 Information retrieval, 58 in R3, 339, 340, 342, 345
Gasoline sales, 105 Internet search engine, 58 Second Partials Test for relative extrema, 375
Industrial system, 102, 107 Ladder network, 322 Shear in R2, 337, 338, 341, 342, 345
Input-output matrix, 97 Locating lost vessels at sea, 16 Taylor polynomial of degree 1, 282
Leontief input-output model(s), 97, 98, 103 Movie special effects, 180 Three-point form of the equation of a plane,
Major League Baseball salaries, 107 Network analysis, 29–34, 37 141, 143, 146
Manufacturing Radar, 172 Translation in R2, 308, 343
labor and material costs, 105 Sampling, 172 Triple scalar product, 288
models and prices, 150 Satellite dish, 223 Two-point form of the equation of a line,
production levels, 51, 105 Smart phones, 190 139, 143, 146, 150
Net profit, Microsoft, 32 Televisions, 190 Unit circle, 253
Output matrix, 98 Wireless communications, 172 Wronskian, 219, 225, 226, 229
Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
,PHYSICAL SCIENCES Newton’s Second Law of Motion, 164 Smokers and nonsmokers, 91
Acoustical noise levels, 28 Ohm’s Law, 322 Sports
Airplane speed, 11 Pendulum, 225 activities, 91
Area Planetary periods, 27, 274 Super Bowl I, 36
of a parallelogram using cross product, Primary additive colors, 190 Television watching, 91
279, 280, 288, 294 RGB color model, 190 Test scores, 108
of a triangle Stiffness matrix, 64, 72
using cross product, 289 Temperature, 34
STATISTICS AND PROBABILITY
using determinants, 138, 142, 146, Torque, 277
Traffic flow, 28, 33 Canonical regression analysis, 304
150 Least squares regression
Astronomy, 27, 274 Undamped system, 164
Unit cell, 213 analysis, 99–101, 103, 107, 265, 271–276
Balancing a chemical equation, 4 cubic polynomial, 276
Beam deflection, 64, 72 end-centered monoclinic, 213
Vertical motion, 37 line, 100, 103, 107, 271, 274, 276, 296
Chemical quadratic polynomial, 273, 276
changing state, 91 Volume
of a parallelepiped, 288, 289, 292 Leslie matrix, 331, 378
mixture, 37 Markov chain, 85, 86, 92, 93, 106
reaction, 4 of a tetrahedron, 114, 140, 143
Water flow, 33 absorbing, 89, 90, 92, 93, 106
Comet landing, 141 Multiple regression analysis, 304
Computational fluid dynamics, 79 Wind energy consumption, 103
Work, 248 Multivariate statistics, 304
Crystallography, 213 State matrix, 85, 106, 147, 331
Degree of freedom, 164 Steady state probability vector, 386
Diffusion, 354 Stochastic matrices, 84–86, 91–93, 106, 331
SOCIAL SCIENCES AND
Dynamical systems, 396
Earthquake monitoring, 16 DEMOGRAPHICS
Electric and magnetic flux, 240 Caribbean Cruise, 106 MISCELLANEOUS
Flexibility matrix, 64, 72 Cellular phone subscribers, 107 Architecture, 388
Force Consumer preference model, 85, 86, 92, 147 Catedral Metropolitana Nossa Senhora
matrix, 72 Final grades, 105 Aparecida, 388
to pull an object up a ramp, 157 Grade distribution, 92 Chess tournament, 93
Geophysics, 172 Master’s degrees awarded, 276 Classified documents, 106
Grayscale, 190 Politics, voting apportionment, 51 Determining directions, 16
Hooke’s Law, 64 Population Dominoes, A2
Kepler’s First Law of Planetary Motion, 141 of consumers, 91 Flight crew scheduling, 47
Kirchhoff’s Laws, 30, 322 regions of the United States, 51 Sudoku, 120
Lattice of a crystal, 213 of smokers and nonsmokers, 91 Tips, 23
Mass-spring system, 164, 167 United States, 32 U.S. Postal Service, 200
Mean distance from the sun, 27, 274 world, 273 ZIP + 4 barcode, 200
Natural frequency, 164 Population migration, 106
Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
, Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
