Index
A
absolute extremum,
103
acceleration
normal component,
321
tangential component,
321
acceleration vector,
321
algebraic precedence,
477
alternating harmonic series,
249
anti-parallel vectors,
285
antiderivative,
139
arc length,
315
arc length parameterization,
316
arccosine,
81
arcsine,
80
asymptote,
9,
99
average,
376
average height,
357
B
bell curve,
204
binormal,
320,
407
bounded function,
40
C
cardioid,
218
Cartesian coordinates,
217,
299
Cauchy Principal Value,
198
center of mass,
376
center of mass,
193
centroid,
194,
373
chain rule,
53
characteristic polynomial,
439
chord,
18
circle
area,
477
circumference,
477
equation of,
7,
478
unit,
7
Clairaut’s Theorem,
345
closed paths,
397
complete the square,
166
completing the square,
477
composition of functions,
13,
31,
53
concave down,
98
concave up,
98
cone
lateral area,
478
surface area,
478
volume,
478
conservative vector field,
396
continuous,
41
convergent sequence,
235
convergent series,
240
coordinates
Cartesian,
217,
299
converting rectangular to polar,
218
cylindrical,
299
polar,
217,
299
rectangular,
217,
299
spherical,
301
cosines
law of,
283,
478
critical value,
92
481
482
Index
cross product,
289
cumulative distribution function,
204
curvature,
317
curvature formula,
318, 319
cycloid,
227
cylinder
lateral area,
478
surface area,
478
volume,
478
cylindrical coordinates,
378
cylindrical coordinates,
299
D
definite integral,
143
del (
∇
),
341
dependent variable,
10
derivative,
20
dot notation,
116
Leibniz notation,
35
difference quotient,
18
differentiable,
41,
335
differential,
128
differential equation,
425