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Solved: Are length approximations Use a calculator to
Chapter 11, Problem 23E(choose chapter or problem)
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.
\(\mathbf{r}(t)=\langle 2 \cos t, 4 \sin t\rangle, \text { for } 0 \leq t \leq 2 \pi\)
Questions & Answers
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