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Setler [38]
2 years ago
6

What is the domain of the function shown on the graph?

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Step-by-step explanation:

The last one.

-5 is notht included but 6 is.

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line
anastassius [24]

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

We first find the value of x and y

y=2(x)^{\frac{1}{4} }

x=(\frac{y}{2} )^{4}

y=2x

x=\frac{y}{2}

\int\limits^a_b {\pi } \, (R_{o^{2} }  - R_{i^{2} } )       dy

R_{o} = x = \frac{y}{2}

R_{i} = x= (\frac{y}{2}) ^{4}

a=0, b=2

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

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

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

6 0
1 year ago
HELP HELP HELP!! ILL MARK BRAINLIEST
s344n2d4d5 [400]

Answer: i think its the 3rd one

Step-by-step explanation:

7 0
2 years ago
Need help with geometry homework
KIM [24]

A regular n-gon has n lines of symmetry

The angle of rotational symmetry for regular n-gon is  360 / n  degrees.

8 0
2 years ago
Which equation is the inverse of Y equals 2X squared -8
kipiarov [429]

Answer:f−1(x)=√2(x+8)2,−√2(x+8)2

Step-by-step explanation:

Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.

8 0
3 years ago
Please help me! 4x+57=−133 −7x−12=−61
Tresset [83]

Answer:

Is =-61 part of the question

Step-by-step explanation:

4 0
3 years ago
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