Solution Found!
Arc length calculations Find the length of
Chapter 11, Problem 18E(choose chapter or problem)
QUESTION:
7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.
\(\mathbf{r}(t)=\langle 3 \cos t, 4 \cos t, 5 \sin t\rangle, \text { for } 0 \leq t \leq 2 \pi\)
Questions & Answers
QUESTION:
7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.
\(\mathbf{r}(t)=\langle 3 \cos t, 4 \cos t, 5 \sin t\rangle, \text { for } 0 \leq t \leq 2 \pi\)
ANSWER:Solution 18E
Step 1:
In this problem we need to find the length of the curve
Given that
r(t) =〈〉
As we know the arc length of the curve r(t) from a to b is given by
L = ...equation (1) where L denotes arc length.