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NeTakaya
2 years ago
10

A figure was moved 5 units to the right, then a

Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer:

Step-by-step explanation:

First a translation then a reflection.

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Who Is The Father Of Math?
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Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 ko
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Based on the calculations, all of the numbers belong to this arithmetic sequence.

<h3>How to calculate an arithmetic sequence?</h3>

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

a_n = a_1 +(n-1)d

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Read more on arithmetic sequence here: brainly.com/question/12630565

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Complete Question:

What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153

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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
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Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

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Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

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