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# Use a calculator to evaluate the line integral correct to four decimal places.$\displaystyle \int_C \textbf{F} \cdot d\textbf{r}$, where $\textbf{F}(x, y) = \sqrt{x + y} \, \textbf{i} + (y/x) \, \textbf{j}$ and $\textbf{r}(t) = \sin^2 t \, \textbf{i} + \sin t \cos t \, \textbf{j}$, $\pi/6 \leqslant t \leqslant \pi/3$

## 0.5424

Vector Calculus

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So for the next four apartments you are asked to use the calculator which for a problem like this I'll set up the problem for you until you get into growing tea And there should be a very complicated in the crow Wish I'll leave it to you to use a calculator to estimate that So busy these ideas You have to compute these two quantities and take the thought Prada integrated I always respect the tea so we have square root off X plus y should be Sai Square T plus I Inti Society Why over access co sign t over society Or rather this call attention our private his two sides he cost ninety Hi. Plus this one is the directive is coz I squirt t minus Cy screwed He buy the product room So the integral is simply pi over six to piracy story upon this given here and the thought program of these two So to sign he co sign t square root of science security plus sign Tico sinti pull us cose I t over sci fi cose I score thirty minus side scurti Say another is no change This should be a scarer function titi and this is a party for you can use your calculator to compute

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Vector Calculus

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