2 years ago

Please help me! I need this answered fast!

Mathematics

1 answer:

Sonja [21]2 years ago

8 0

Answer:

1. I think it's A.

2. I think it's D

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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}{

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 $x$ .

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

3 0

1 year ago

What number is 10 times as much as 50

Murljashka [212]

Answer:

500

Step-by-step explanation:

6 0

2 years ago

Find the value of each variable in the given parallelogram

never [62]

Answer:

I cant see it

Step-by-step explanation:

5 0

2 years ago

What is the sum _71/6 +35/6 in the simplest terms ? Show your work

adoni [48]

Answer:

The answer in simplest term is 35.33333334.

Step-by-step explanation:

First, we need to divide 71 and 6.

71/6 = 23.66666667.

Now we need to divide 35 and 6.

35/6 = 11.66666667.

Now we need to add the two quotients.

23.66666667 + 11.66666667 = 35.33333334.

And that is the final answer.

I hope this helps!

7 0

2 years ago

What is the oblique asymptote of the function f(x) x^2+x-2/x+1

Mamont248 [21]

$f(x)=\displaystyle\frac{x^2+x-2}{x+1}=\frac{x(x+1)-2}{x+1}=x-\frac{2}{x+1}
$

$\displaystyle\lim_{x\to\infty}\left\{f(x)-x \right\}=\lim_{x\to\infty}\frac{2}{x+1}=\lim_{x\to\infty}\frac{\displaystyle\frac{2}{x}}{1+\displaystyle\frac{1}{x}}
=0$

Consequently, t<span>he limit of $f(x)$ as x approaches infinity is $x$ .

In other words, $f(x)$ approaches the line y=x,
</span><span>
so oblique asymptote is y=x.

I'm Japanese, if you find some mistakes in my English, please let me know.</span>

3 0

3 years ago