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Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 5.4 - Problem 197
Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 5.4 - Problem 197

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ISBN: 9781938168079 2033

Solution for problem 197 Chapter 5.4

Calculus Volume 3 | 1st Edition

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Problem 197

In the following exercises, evaluate the triple integrals over the indicated bounded region $$E$$.

$$\iiint_{E} y \ d V$$, where $$E=\left\{(x, y, z) \mid-1 \leq x \leq 1,-\sqrt{1-x^{2}} \leq y \leq \sqrt{1-x^{2}}, 0 \leq z \leq 1-x^{2}-y^{2}\right\}$$

Text Transcription:

E

\iiint_{E} y d V

E=\left\{(x, y, z) \mid-1 \leq x \leq 1,-\sqrt{1-x^{2}} \leq y \leq \sqrt{1-x^{2}}, 0 \leq z \leq 1-x^{2}-y^{2}\right\}

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