Answer: Arc length calculations Find the length of the

Chapter 11, Problem 14E

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QUESTION:

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

\(\mathbf{r}(t)=\left\langle t^{2} / 2,(2 t+1)^{3 / 2} / 3\right\rangle, \text { for } 0 \leq t \leq 2\)

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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.

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