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angle antiderivative approximation axis center of mass Chain Rule circle compute Confirm constant continuous converges cos2 cosh curvature curve cylinder defined definition difference quotient differential equation direction discussion distance diverges domain dy/dx 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 logarithm Maclaurin series mass maximum Mean Value Theorem neighborhood obtain origin parabola parametric equations partial derivatives partition path perpendicular point x,y polar coordinates polynomial positive Problem Set prove radius real numbers rectangular result Riemann sums satisfying scalar sec2 Section Show shown in Figure sin2 sine sinh Sketch the graph slope Solution solve subinterval substitution Suppose surface tangent tion trigonometric variable vector field velocity vertex vertical volume write xy plane zero