Answer: Are length approximations Use a calculator to

Chapter 11, Problem 25E

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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.

\(\mathbf{r}(t)=\left\langle t, 4 t^{2}, 10\right\rangle, \text { for }-2 \leq t \leq 2\)

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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.

\(\mathbf{r}(t)=\left\langle t, 4 t^{2}, 10\right\rangle, \text { for }-2 \leq t \leq 2\)

ANSWER:

Solution 25EStep 1:Given thatr(t) = t, 4t2,10, for 2 t 2

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