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angle antiderivative approximation axis calculus chain rule circle Computational Window constant continuous converges cosx critical values curve cylinder defined differential equation distance diverges double integral dy dx ellipse endpoints estimate Evaluate EXAMPLE Find the area Find the volume formula geometric geometric series given in Problems Green's theorem horizontal hyperbola improper integral intersection interval inverse l'Hopital's rule lim f(x limit line integral logarithm Maclaurin series mathematics maximum mean value theorem Newton-Raphson method orthogonal parabola parametric partial derivatives plane polar coordinates polynomial PROBLEM SET Proof properties quotient rule radius real number rectangle region bounded relative minimum Riemann sum scalar sequence Show shown in Figure sinx Sketch the graph slope solid Solution Suppose surface area tangent line tanx triangle unit value theorem variables vector field vector function velocity vertical x-axis xy-plane y-axis