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3 years ago

May u hellp me plz. which is correct

Mathematics

1 answer:

marissa [1.9K]3 years ago

8 0

The answer is x-3y=6 that is the correct answer

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The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago

Reduce the fraction to lowest terms. 38x^2yz^2/ -19 yz^2z^3

Elenna [48]

Hope this is helpful.

3 0

3 years ago

Select the two values of x that are roots of the given polynomial below. x^2-3x-5

klio [65]

-b +or- root (b^2 -4ac) / 2a
3+or- root 9+20/ 2
3+ or - root 29 /2

5.38516480713 + 3 = 8.385 / 2
x = 4.1925
or x = -1.1925

a=1
b=-3
c=-5

7 0

3 years ago

How to solve a rubik's cube?

ZanzabumX [31]

Rubik's Cubes! I love these things...

There are multiple methods to solving the Rubik's cube. My personal favorite (and the best if you are a beginner) is the F2L method, or First Two Layers. The first half is patterns and placement, the rest of F2L consists of algorithms. There are not enough characters allowed to tell you specifically how to solve the Rubik's cube. However, there is a guy on YouTube who very clearly explains specific methods over how to solve it. His name is Noah Richardson. He is probably one of the best at explaining the cube's complexity into easy to understand terms, for beginners.

Glad to see more people getting interested into the Rubik's Cube again!
Have a good one!

4 0

3 years ago

Read 2 more answers

Is the relation a function? X Y

AveGali [126]

Answer:

yes

Step-by-step explanation:

there is a single x value for every y value

6 0

3 years ago