Calculus: Analytic Geometry and Calculus, with Vectors

726 Index Closed curve, 416 Convexity of curves, 305 Closed interval a < x S b, 5 Coordinates, on curve, 421 Commutative oper ...

Index 727 Darboux sums and integrals, 344- 353 Decimal system, 2, 321-322 Decimals "represent" numbers, 334-339 Decreasing funct ...

728 Doodle, 66 Dot product (see Scalar product) Double integrals, 667-695 Duhamel difficulty, 420 Dummy variables, 213 Duplicati ...

Index 729 "Fixed" point, 27 Flea assertions, 125, 132 Flexpoints, 304-311 Fluid pressure, 274-275 Flyspeck notation, 153 Focal c ...

730 Hypocyclic gears, 184, 402 Hypocycloids, 401-402 of four cusps, 292, 402, 423, 435, 628-683 Identity matrix, 96 Implicit dif ...

Index 731 Integration, by use of tables, 206-207, 211-212, 465, 474, 514 (See also Integrals) Interlc4ept form of equation of li ...

732 Limit(s), of integration, 214, 470 of powers, 128, 495 of Riemann sums, 214, 669, 695, 707 of sequences, 335, 351 unilateral ...

Index 733 Nine-point circle, 23 Nondifferentiable functions, 162 Nonintegrable function, 215 Nonmeasurable sets, 237, 721-723 No ...

734 Polar coordinates, 528-552, 687- 695 graphs in, 530 integrals in, 687-695 Polar moment of inertia, 681 Polar points and line ...

Index 735 Riemann-Stieltjes integrals, 261, 276, 353 Right-hand continuity, 145 Right-hand derivative, 162 Right-hand rule, 52 R ...

736 Simple points, 585 Simplex, n-dimensional, 58 Simpson approximation to integral, 278-282 Sine(s), decimal approximations to, ...

Index 737 Taylor formulas, 621, 632-640 with remainders, 632-640 Taylor series, 621, 633-634, 636 (See also Power series) Tcheby ...

738 Velocities, in spherical coordinates, 711 Volumes, 244-250 cylindrical shell method, 246 by iterated integrals, 659-667 by m ...