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Elan Coil [88]
2 years ago
15

Evaluate the expression for the given value of the variable.

Mathematics
1 answer:
Fudgin [204]2 years ago
4 0

Answer:

The answer is three please give brainliest:D

Step-by-step explanation:

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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
2 years ago
Solve for x 16x = 20(12)
marysya [2.9K]

Answer: X=15

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!! :)

4 0
3 years ago
Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. Ho
pochemuha

Answer: 2061.55\ m

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km

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3 years ago
What is 3.82 to the nearest whole number
Klio2033 [76]
4 !!! Since you round up
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3 years ago
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If one gallon of gasoline emits 20 pounds of CO 2 when burned in the internal combustion engine of my car, how much CO 2 does my
pashok25 [27]

Answer:

<em>Here</em><em> </em><em>you</em><em> </em><em>go</em>

Step-by-step explanation:

<em>PLEASE</em><em> </em><em>THANK</em><em>,</em><em> </em><em>RATE</em><em> </em><em>AND</em><em> </em><em>FOLLOW</em><em> </em><em>ME</em><em> </em>

<em>AND</em><em> </em><em>PLEASE</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>"</em><em>BRAINLIEST</em><em>"</em><em> </em><em>ANSWER</em>

<em>HOPE</em><em> </em><em>IT</em><em> </em><em>HELPS</em><em> </em><em>YOU</em>

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