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Vectors and geometry in three dimensions
12 other sections not shown
angle apply approximation assertion axis calculate called centroid chain rule circle cone conic constant contains continuous continuous functions converges coordinate system curve decimal defined definition denote derivatives determine difference quotient differentiable function directrix displacement vector distance elementary ellipse equal equation exist fact geometry given graph hence Hint hyperbola ideas implies integer intersects interval involving length lies line segment mass mathematics matrix notation observe obtain origin parabola particle partition perpendicular point x,y polar polar coordinates polynomials positive integer positive number preceding problem proof prove quadric surface quotient radius rational functions real numbers rectangular Remark result Riemann integral Riemann sums right member scalar components set of points slope square Supposing tangent tion triangle unit vector values velocity vertex vertices volume write xy plane zero