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svetoff [14.1K]
2 years ago
14

¿Cuál es la diferencia entre

Mathematics
1 answer:
Advocard [28]2 years ago
4 0

Answer:

Can you do it in english? I can't read in spanish sorry.

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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
Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build
ozzi
The volume of the original prism is given by:
 V1 = (10) * (2) * (h)
 rewriting:
 V1 = 20h
 Where,
 h: height
 The volume of the second prism is given by:
 V2 = (5) * (w) * (h)
 We know that the height is the same.
 As the volume is the same then:
 (5) * (w) * (h) = 20h
 Clearing w we have:
 w = (20/5) = 4 cm
 Answer:
 
The width, in centimeters, of the new prism is:
 
w = 4cm
4 0
3 years ago
rove the following statement directly from the definition of rational number. The difference of any two rational numbers is a ra
Umnica [9.8K]

Answer:

Step-by-step explanation:

Question:

Prove the following statement directly from the definitions.

The difference of any two rational numbers is a rational number.

Answer, see attachment for proof.

7 0
3 years ago
If I have 9 employees and only 5 of them worked. What is my percentage
Charra [1.4K]
Percentage of working employees is 55.56
workings:5/9 x100
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3 years ago
1/3÷7 3/4 dividing fraction
Ede4ka [16]

Answer:

4/93 or 0.04301075...

Step-by-step explanation:

Reduce the expression by cancelling the common factors

6 0
3 years ago
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