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angle antiderivative approximately arcsin arctan assume axis calculate center of gravity Chain Rule circle compute conic section Consequently constant continuous converges cos2 curve cylinder defined definition denote determine differentiable directrix distance diverges domain ellipse evaluate Example 1 Let Exercises exists feet Find a formula Find an equation foci given grad Hint hyperbola indefinite integral intercept Intermediate Value Theorem inverse length Let f(x lim f(x limit maximum value Mean Value Theorem minimum nonnegative nonzero obtain origin parabola parallel parallelepiped parameterization partial derivatives partition perpendicular polar coordinates polynomial power series prove radians radius radius of convergence real numbers rectangle relative extreme values Riemann sum sequence Show shown in Figure Simpson's Rule sin2 Sketch the graph slope solid region bounded square Suppose surface symmetric with respect tangent line Taylor series triangle trigonometric variables vector-valued function velocity vertical xy plane