multivariable_20_Index

# multivariable_20_Index - Index A absolute extremum 103...

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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

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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
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