# Consider the helix represented investigation by the vector-valued function r(t)= < 2 cos t, 2 sin t, t >. Solve for t in the relationship derived in p

Consider the helix represented investigation by the vector-valued function . Solve for t in the relationship derived in part (a), and substitute the result into the original set of parametric equations. This yields a parametrization of the curve in terms of the arc length parameter s.
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Brittany Patton
The curve in terms of arc legth is . Given: The function Calculate: The given vector-function for the path is ........(1) The length of the curve is $s=\left(\sqrt{5t}\right)$
Substituting this value of t in equation (1), we get Or . Thus, the curve in terms of arc length is .