Calculus with Analytic Geometry, Brief EditionThe aim of this major revision is to create a contemporary text which incorporates the best features of calculus reform yet preserves the main structure of an established and well-tested calculus course. The multivariate calculus material is completely rewritten to include the concept of a vector field and focuses on major physics and engineering applications of vector analysis. Covers such new topics as Jacobians, Kepler's laws, conics in polar coordinates and parametric representation of surfaces. Contains expanded use of calculator computations and numerous exercises. |
Contents
COORDINATES GRAPHS LINES | 1 |
FUNCTIONS AND LIMITS | 51 |
DIFFERENTIATION | 121 |
Copyright | |
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algebra angle antiderivative approximation asymptotes axis c₁ calculator circle computer algebra system concave constant continuous function cosh curve defined definite integral derivative distance diverges domain dx dx ellipse endpoint Evaluate Example Exercise Set Express Find the area Find the volume formula function f geometric given graph of ƒ Hint horizontal hyperbola indeterminate form L'Hôpital's rule Let f(x lim f(x lim h→0 limit logarithms Maclaurin series mathematics maximum minimum value obtain open interval parabola parametric equations particle polar coordinates polynomial positive problem proof Prove radians radius real numbers rectangle region enclosed result sec² secant line sequence Show shown in Figure side Simpson's rule sin² sinh Sketch the graph slope Solution solve subintervals substitution tangent line Theorem velocity vertical x-axis y-axis y-intercept yields