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Arc length calculations Find the length of the following
Chapter 11, Problem 12E(choose chapter or problem)
QUESTION:
7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.
\(\mathbf{r}(t)=\langle 4 \cos t, 4 \sin t, 3 t\rangle, \text { for } 0 \leq t \leq 6 \pi\)
Questions & Answers
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 =