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vault backup: 2025-02-14 23:52:51
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Cyletix committed Feb 14, 2025
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### (12)
答 应填 $\frac{\sqrt{3}}{12}$.
- 转换投影是==对积分区域转换投影==,还是==对被积函数转换投影==?
- <br>![|200](/_assets_/Images/20241214222033.png),积分区域投影后,![|150](/_assets_/Images/20241214222112.png)
- <br>![|200](/_assets_/Images/20241214222033.png),积分区域投影后,![|150](/_assets_/Images/20241214222112.png)
- 要投影的方程:$z=1-x-y$
- 解 记 $D=\{(x, y) \mid x+y \leqslant 1, x \geqslant 0, y \geqslant 0\}$, 则
- $\displaystyle \begin{aligned}\iint_{\Sigma} y^{2} \mathrm{~d} S=\end{aligned}$
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