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14.6 the Gradient Vector - United States Naval Academy
a continuous vector function r(t) = 〈x(t), y(t), z(t)〉. Let t 0 be the parameter value corresponding to P; that is, r(t 0) = 〈x 0, y 0, z 0 〉. Since C lies on S, any point (x(t), y(t), z(t)) must satisfy the equation of S, that is, F(x(t), y(t), z(t)) = k
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