Question: Suppose the vector-valued function r(t) = (f(t),g(t), h(t)) is smooth on an interval containing the point to The line tangent to r(t) at t= to

 Suppose the vector-valued function r(t) = (f(t),g(t), h(t)) is smooth on

an interval containing the point to The line tangent to r(t) at

Suppose the vector-valued function r(t) = (f(t),g(t), h(t)) is smooth on an interval containing the point to The line tangent to r(t) at t= to is the line parallel to the tangent vector ' (to ) that passes through ((to) ,9 (to ) ,h (to ) ) . For the following function, find the line tangent to the curve at t= t r(t) = (3+ cost,2 + sin 18t,t) ; to - 2 The line tangent to the curve at t = to is

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