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2 problems match “double integrals”. Clear

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1. Area of a polar sector ●○○○○ 10 ptsFind the area of the region given in polar coordinates by $\frac{\pi}{4}\leq\theta \leq\frac{\pi}{2}$ and $0\leq r\leq 2$, using a double integral. Round to two decimal places.
2. Average of an exponential over a triangle ●●○○○ 20 ptsFind the average value of $f(x,y)=e^{x+y}$ over the triangle $R$ with vertices $(0,0)$, $(0,1)$ and $(1,1)$. Round to two decimal places.