3 years ago

A¹×a³×a-9 please help me I don't understand this and it's stressful

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

Answer:

a^-27

Step-by-step explanation:

the numbers up top have to be multiplied.

1*3*-9=-27

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photoshop1234 [79]

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.

$\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C$

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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2 years ago

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Sever21 [200]

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-5}(x-\stackrel{x_1}{4}) \\\\\\ y+7=-5x+20\implies y=-5x+13$

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A bag contains 8 oatmeal and 10 molasses cookies. What is the ratio, written in the lowest terms, of molasses cookies to the tot

beks73 [17]

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3 years ago

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Rus_ich [418]

Your answer will be 96 hope this helps :)

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3 years ago

A¹×a³×a-9 please help me I don't understand this and it's stressful​

A¹×a³×a-9 please help me I don't understand this and it's stressful