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2 years ago

Find a percent of a number by making a proportion. 2 1/2% of 13.7

1 answer:

8 0

Thx for em yahoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

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Integrala x la a treia ori ln la a doua dx va rog

Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

$\displaystyle \int x^3 \ln(x)^2 \, dx$

Integrate by parts:

$\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du$

where

u = ln(x)² ⇒ du = 2 ln(x)/x dx

dv = x³ dx ⇒ v = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx$

Integrate by parts again:

$\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'$

where

u' = ln(x) ⇒ du' = dx/x

dv' = x³ dx ⇒ v' = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx$

So, we have

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C$

$\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}$

3 0

2 years ago

What does y equal y-16-3y=0

Afina-wow [57]

Answer:

y = - 8

Step-by-step explanation:

y - 16 - 3y = 0

Group like terms

y - 3y - 16 = 0

Add similar elements: y - 3y = - 2y

- 2y - 16 = 0

Add 16 to both sides

- 2y - 16 + 16 = 0 + 16

Simplify

- 2y = 16

Divide both sides by - 2

$\frac{-2y}{-2}$ = $\frac{16}{-2}$

Simplify $\frac{-2y}{-2}$ : y

$\frac{-2y}{-2}$

Apply the fraction rule: $\frac{-a}{-b} = \frac{a}{b}$

= $\frac{2y}{2}$

Divide the numbers: $\frac{2}{2} = 1$

= y

Simplify $\frac{16}{-2}$ : - 8

$\frac{16}{-2}$

Apply the fraction rule: $\frac{-a}{-b} = \frac{a}{b}$

$-\frac{16}{2}$

Divide the numbers: $\frac{16}{2}$ = 8

= - 8

y = - 8

7 0

3 years ago

Hlp me pls<br><br> identify inverse operations

Anika [276]

Inverse operation is an operation that undoes what was done by the previous operation. Take this simple addition problem 5+2=7. If we want to reverse the addition, we just subtract 7-2=5 and we are back where we started. You do the same for multiplication and division.

3 0

2 years ago

What is the exact number of 2000

GaryK [48]

If you are rounding it will be the same thing

5 0

2 years ago

14) 25 , 13, 4, 20,16,3,2,5<br>

Igoryamba

Answer:

2,3,4,5,13,20,25 or

2,4,16,20(even number)

3,5,13,25 (odd number)

Step-by-step explanation:

6 0

2 years ago