The Calculus, with Analytic Geometry: Infinite series, vectors, and functions of several variablesHarper & Row, 1972 - Calculus |
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47 pages matching THREE-DIMENSIONAL SPACE in this book
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Contents
Preface | 651 |
Vectors in threedimensional | 654 |
Vectors in the plane | 738 |
Copyright | |
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a₁ a₂ absolutely convergent acceleration vector angle area density axis b₁ b₂ comparison test convergent or divergent coordinates cos² curvature curve cylinder decimal places defined Definition denoted differentiable directed line segment domain dot product double integral Draw a sketch dy dx EXAMPLE exists f(xo Figure following theorem formula function f geometric series given series graph Hence infinite series lamina lim f(x limit comparison test Maclaurin series normal vector obtain orthogonal parametric equations partial derivatives partial sums position representation positive integer power series power-series representation projectile PROOF Prove Theorem radian radian measure radius of convergence real numbers region bounded S₁ scalar series is convergent series is divergent shown in Fig sin² sinh solid SOLUTION surface t₁ u₁ Un+1 unit vector upper bound V₂ variables vector equation vector-valued function xy plane y₁ zero