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2 years ago

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

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1 year ago

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s344n2d4d5 [400]

Answer: i think its the 3rd one

Step-by-step explanation:

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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.

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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.

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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:

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3 years ago