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Mathematics, 26.02.2020 03:51 ttrinityelyse17

Suppose the vector-valued function r(t) = < f(t) ,g(t) ,h (t) > is smooth on an interval containing the point < f(t0) ,g(t0) ,h(t0) > . The line tangent to r(t) at t = t0 is the line parallel to the tangent vector r'(t0) that passes through < f(t0),g(t0),h(t0)> . Find the line tangent to the curve at t = t0. r(t)=(2t-1,9t+5,t^2), t0= 1 The tangent line is < , , > .

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