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SCALCET$913\mathrm{.}2\mathrm{.}01$

Consider the following vector function.

$r(t)=cos(t)i+6tj+4sin(2t)k$

Find each of the following.

$r^{\text{'}}(t)=$

$r^{\text{'}}(0)=$

$|r^{\text{'}}(0)|=$

Find the unit tangent vector $T(t)$ at the point with the given value of the

$r(t)=cos(t)i+6tj+4sin(2t)k,t=0$

$T(0)=$