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angle antiderivative approximately assume axis calculate center of gravity Chain Rule circle compute conic section Consequently constant converges cosx curve cylinder deﬁned deﬁnition determine diﬂerential distance diverges domain of f ellipse evaluate Example 1 Let exists f and g f is continuous feet ﬁnd ﬁnding ﬁrst follows function f given grad graph of f Hint hyperbola indeﬁnite integral Intermediate Value Theorem length Let f Let f(x limit line integral ln Exercises maximum value Mean Value Theorem nonnegative object parabola parallelepiped parametrized partial derivatives perpendicular polar coordinates polynomial power series prove radius real numbers rectangle relative extreme value Riemann sum satisﬁes Section shown in Figure simple region sinx sketch the graph solid region bounded Solution Solutlon Suppose surface area tangent line Taylor series triangle value of f Value Theorem variables vector ﬁeld velocity vertical volume xy plane