Higher Engineering Mathematics, Sixth Edition

Index 679

parallel axis, 384–385
perpendicular axis, 385
Pythagoras, 97–98
Total differential, 351–352
Transfer function, 598
Transformations, 181–186
Transmission equation, 518
Transposition of formulae, 4
Trapezoidal rule, 203, 204, 435–437
Trial solution, 519
Triangle, area of, 108–111
Trigonometric ratios, 98–100
equations, 154–158
evaluation of, 100–105
functions, 134
and hyperbolic substitutions,
integration, 398–408
identities,152–154

inverse function, 189, 334

waveforms, 134–151

Trigonometry, 97

practical situations, 111–116

t=tanθ/2 substitution,414–418

Turning points, 303–307

Ungrouped data, 530–534

Unit matrix, 235

Unit triad, 275

Upper class boundary value, 534

Vector addition, 255–260

nose-to-tail method, 252, 253

parallelogram method, 252–253

Vector drawing, 251

Vector equation of a line, 283–285

Vector products, 280–283

applications of, 282

Vector quantities, 251

Vector subtraction, 260–262

Vectors, 251

Velocity and acceleration, 300–303

Vertical bar chart, 530

component, 254, 270

Volumes

of irregular solids, 205–206

of solids of revolution, 378–379

Wallis’s formula, 432

Wave equation, 519–523

Waveform analyser, 146

Work done, 279

Zeros (and poles), 598