Solution Found!
Answer: Arc length calculations Find the length of the
Chapter 11, Problem 14E(choose chapter or problem)
QUESTION:
7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.
\(\mathbf{r}(t)=\left\langle t^{2} / 2,(2 t+1)^{3 / 2} / 3\right\rangle, \text { for } 0 \leq t \leq 2\)
Questions & Answers
QUESTION:
7-18. Arc length calculations Find the length of the following two- and three-dimensional curves.
\(\mathbf{r}(t)=\left\langle t^{2} / 2,(2 t+1)^{3 / 2} / 3\right\rangle, \text { for } 0 \leq t \leq 2\)
ANSWER:Solution 14E
Step 1 of 3:
In this problem we need to find the length of the curve
The arc length of the curve r(t) from a to b is given by
L = ...(1) where L denotes arc length.