Calculus: Analytic Geometry and Calculus, with Vectors

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736


Simple points, 585
Simplex, n-dimensional, 58
Simpson approximation to integral,
278-282
Sine(s), decimal approximations to,
458
power series for, 458
Sinusoids, 39, 182, 184, 442, 445,
455
rectified, 617
Skew lines, line normal to two, 77
transversals of three, 108
Slab method, 245
Slide rules, 489-490
Slopes, 11, 168, 285, 305
increasing and decreasing, 305
Snell formula (optics), 302
Social security numbers, 113
Solid having maximum gravita-
tional attraction, 693

Space (E3), 48-110
Span of vectors, 57
SPC, 102
Specific heat, 200-201
Speed, 177, 179, 436-437, 442
Speidell, John, 486
Sphere, 62, 550, 573-574
in conical glass, 303
Spherical ball, volume of, 246-247
Spherical coordinates, 527,533,59'2,
707-714
triple integrals in, 707-714
Spheroids, 249, 404
Spirals, of Archimedes, 532
exponential, 532, 544
hyperbolic, 546
Square roots, 4, 8
table of, end papers
Square-wave function, 616-617
Standard deviation a, 309, 694
Star characters (intermediate
points), 212-213


Statements, 35
Static concept of function,,f2


Index

Step functions, 217-219
Stirling formulas, 487-488, 608,
644-647
Stokes formula, 674
Stream curves, 387
String property of ellipse, 370
String unwound from spool, 434
Strophoid, 546
Subintervals, 212
Successive approximation, 9, 318
Successive elimination, 19
Sum (convergence value) of series,
336, 341, 587-588
Summation symbol E, 213
Sums of powers, 233, 331, 643, 644
Surface, 425, 574
area of, 425, 447-448, 550
normals to, 567
tangent planes of, 567
triangulation of, 447
Symbols and numbers, 244
Symmetry, 37
of conics, 365
Systems of equations, 90

Tables, Burington, 206
of derivatives, 165, 167, end
papers
Dwight, 206
of integrals, 205-206, end papers
numerical, end papers
use of, 206-207, 211-212, 465,
474, 514
Tangent lines, 168, 179, 284-294
Tangent planes, 567
Tangent (trigonometric), series for,
623, 651
Tangent vectors, 179, 286
in cylindrical coordinates, 540
in polar coordinates, 541
Tanks, economical proportions of,
298-299
Taxi fare function, L49
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