The Calculus, with Analytic Geometry: Infinite series, vectors, and functions of several variablesHarper & Row, 1972 - Calculus |
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a₁ a₂ absolutely convergent angle area density axis b₁ b₂ chain rule circle x² commodity coordinate planes cos² cross sections curvature cylinder defined Definition denoted differentiable direction distance divergent domain double integral Draw a sketch dx dy dy dx elliptic EXAMPLE Exercises 15 exists f(xo Figure Find an equation Find the area formula function f given series graph Hence inertia intersection iterated integral lamina lim f(x moment of inertia normal vector obtain octant parabola paraboloid parallel parallelepiped parametric equations partial derivatives perpendicular point xo power series proof Prove Theorem radian radian measure radius rate of change real numbers rectangular region bounded S₁ scalar sequence shown in Fig sin² sinh slug-ft² slugs/ft² SOLUTION sphere subregion surface surface of revolution t₁ tion unit vector xy plane y₁ zero ди ду