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pogonyaev
2 years ago
13

Your boss hands you a memo with a summary of the monthly data.

Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

Functions are used to represent tables and equations

  • The function that represents the number of imports is f(x) = 2x
  • The function that represents the number of exports is f(x) = 2 + x

<h3>How to determine the import function</h3>

From the table, we can see that the values of the import is twice the number of months

This is represented as:

y = 2x

Rewrite as a function

f(x) = 2x

Hence, the function that represents the number of imports is f(x) = 2x

<h3>How to determine the export function</h3>

From the table, we can see that the values of the export is two more than the number of months

This is represented as:

y = 2 + x

Rewrite as a function

f(x) = 2 + x

Hence, the function that represents the number of exports is f(x) = 2 + x

Read more about linear functions at:

brainly.com/question/15602982

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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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