INDEX
535
absolute, 162
global, 162
local, 162
relative, 162
net signed area, 230
Newton’s Law of Cooling, 395
Newton-meter, 366
one-to-one, 130
onto, 130
partial fractions, 311
partial sum, 460, 471
per capita growth rate, 438
position, 2
power series, 520
product rule, 105
quotient rule, 106
ratio test, 480
related rates, 198
Riemann sum, 225
left, 225
middle, 227
right, 227
right limit, 66
secant, 114
secant line, 25
second derivative, 55, 56
second derivative test, 167
separable, 419, 420
sequence, 449
term, 450
sequence of partial sums, 471
series, 470
converges, 472
diverges, 472
geometric, 458
sigma notation, 223
Simpson’s rule, 326
slope field, 399, 401
solid of revolution, 345
stable, 404
sum rule, 91
tangent, 114
tangent line, 25
equation, 78
slope, 26
Taylor polynomial
error, 511
Taylor polynomials, 503
Taylor series, 506, 507
interval of convergence, 508
radius of convergence, 511
total change theorem, 257, 258
trapezoid rule, 321
error, 323
triangular numbers, 447
trigonometry, 113
fundamental trigonometric identity, 113
unstable, 405
washer method, 348
weighted average, 326, 359
work, 366, 367