Arc length calculations Find the length of the following

Chapter 11, Problem 12E

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QUESTION:

7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.

\(\mathbf{r}(t)=\langle 4 \cos t, 4 \sin t, 3 t\rangle, \text { for } 0 \leq t \leq 6 \pi\)

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QUESTION:

7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.

\(\mathbf{r}(t)=\langle 4 \cos t, 4 \sin t, 3 t\rangle, \text { for } 0 \leq t \leq 6 \pi\)

ANSWER:

Solution 12EStep 1:In this problem we need to find the length of the curve r(t) = , for 0 The arc length is denoted by L , and the arc length of r(t) from a to b is defined as ; L =

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