James Stewart-Calculus_ Early Transcendentals-Cengage Learning (2015)

A152
index
vector field, 1068, 1069
component functions, 1069
conservative, 1073, 1090, 1091, 1105
curl of, 1103
divergence of, 1106
electric flux of, 1131, 1144
flux of, 1129
force, 1068, 1072
gradient, 956, 1072
gravitational, 1072
incompressible, 1107
irrotational, 1106
line integral of, 1082, 1083, 1084
surface integral of, 1128, 1129
velocity, 1068, 1071
vector function, 848
component functions of, 848
continuity of, 849
derivative of, 855, 856, 858
integration of, 859
limit of, 848, 855
vector product, 815
properties of, 816, 819
vector projection, 811
vector triple product, 820
vector-valued function. See vector function
velocity, 3, 80, 143, 224, 406
average, 4, 81, 143, 224
instantaneous, 81, 143, 224
velocity field, 1071
airflow, 1068
ocean currents, 1068
wind patterns, 1068
velocity gradient, 230
velocity problem, 80, 142
velocity vector, 870
velocity vector field, 1086
Verhulst, Pierre-François, 587
vertex of a parabola, 674
vertical asymptote, 90, 316
vertical line, A13
Vertical Line Test, 15
vertical tangent line, 158
vertical translation of a graph, 37
vertices
of an ellipse, 676
of a hyperbola, 678
vibration of a rubber membrane, 748
vibration of a spring, 1168
vibrations, 1168, 1169, 1171
visual representations of a function,
10, 12
volume, 439
by cross-sections, 438, 439, 570
by cylindrical shells, 449
by disks, 440, 443
by double integrals, 988
of a hypersphere, 1040
by polar coordinates, 1012
of a solid, 438, 990
of a solid of revolution, 443, 557
of a solid on a slant, 557
by triple integrals, 1035
by washers, 442, 443
Volterra, Vito, 627
von Bertalanffy model, 635
Wallis, John, 3
Wallis product, 478
washer method, 442
wave equation, 920
Weierstrass, Karl, 502
weight (force), 455
wind-chill index, 889
wind patterns in San Francisco Bay
area, 1068
witch of Maria Agnesi, 188, 647
work (force), 455, 456, 811
work defined as a line integral, 1082
Wren, Sir Christopher, 654
x-axis, 792, A10
x-coordinate, 792, A10
x-intercept, A13, A19
X-mean, 1023
y-axis, 792, A10
y-coordinate, 792, A10
y-intercept, A13, A19
Y-mean, 1023
z-axis, 792
z-coordinate, 792
Zeno, 5
Zeno’s paradoxes, 5
zero vector, 798
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