Solved: Are length approximations Use a calculator to

Chapter 11, Problem 23E

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QUESTION:

23-26. Arc length approximations Use a calculator to approximate the length of the following curves. In each case, simplify the arc length integral as much as possible before finding an approximation.

\(\mathbf{r}(t)=\langle 2 \cos t, 4 \sin t\rangle, \text { for } 0 \leq t \leq 2 \pi\)

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QUESTION:

23-26. Arc length approximations Use a calculator to approximate the length of the following curves. In each case, simplify the arc length integral as much as possible before finding an approximation.

\(\mathbf{r}(t)=\langle 2 \cos t, 4 \sin t\rangle, \text { for } 0 \leq t \leq 2 \pi\)

ANSWER:

Solution 23E

Step 1:

Given that

r(t) = 2 cos t, 4 sin t〉, for 0 ≤ t ≤ 2π

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