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Prologue to Calculus
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angle antiderivative approximation asymptote axis binomial series calculus Chain Rule compute Confirm constant continuous converges cos2 cosh curvature curve cylinder defined definition difference quotient differential equation direction distance diverges domain ellipse endpoints evaluate Example Explain extreme values Find the area geometric given gradient Green's Theorem Hence Hint hyperbola intersection interval inverse length limit line integral linear Maclaurin series Mean Value Theorem neighborhood obtain origin parabola paraboloid parametric equations partial derivatives partition perpendicular polynomial positive Problem Set prove quotient radius real number rectangular region bounded Repeat Problem result Riemann sum rotated satisfying scalar sec2 Section Show shown in Figure sin2 sinh Sketch the graph slope Solution solve subinterval substitution Suppose surface tangent Taylor polynomial Theorem tion unit circle variable vector field velocity vertical volume write xy plane zero