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Alexeev081 [22]
3 years ago
5

Mr.Cereola multiples some number x by some number y and then raises the product to the fourth power. If x=4 and y=3 find the end

result of mr.Cereolas work
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

20736

Step-by-step explanation:

xy^4 = z

x=4 , y=3

(4*3)^4=z

12^4=z

z=20736

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line
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The volume generated by rotating the given region R_{3} about OC is \frac{4}{g}  \pi

<h3>Washer method</h3>

Because the given region (R_{3}) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

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v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]

v=\pi [\frac{1}{4} \frac{y^{3} }{3}  \int\limits^2_0 - \frac{1}{2^{8} }  \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

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