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Ksenya-84 [330]
3 years ago
9

Select all irrational numbers.

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

under root 12 and under root 20 are the irrational numbers

(under root 9 is equal to 3

under root 16 is equal to 4

under root 25 is equal to 5)

so they are rational numbers

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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 is 1/2 of 7/10​
Vsevolod [243]

Answer:

7/20

Step-by-step explanation:

of = multiply

1/2 x 7/10

1 x 7 =  7

2x 10 =  20

7/20 can not be reduced.

so, the answer will be 7/20

<h2><u><em>hope it helps </em></u></h2>

3 0
3 years ago
Which function has a different range than the function f(x)=bx?
kodGreya [7K]
The answer is D but i could be wrong
3 0
3 years ago
It takes 32 minutes for 8 people to paint 8 walls. How many minutes does it take 12 people to paint 12 walls ? Confused !
Radda [10]

Answer:

It takes 32 Minutes for 12 people to paint 12 walls

Step-by-step explanation:

If it takes 8 people 32 minutes to paint 8 walls, then that means each person takes 32 minutes to paint 1 wall. With that being said, If you have 12 people painting 12 walls, It will take 32 minutes for all 12 walls to be painted.

Hope this helps!

4 0
3 years ago
Read 2 more answers
I need help ASAP 30 points+brainleist
yulyashka [42]

Answer:

A) 40 feet.

B) 7 inches.

Step-by-step explanation:

A) To acquire 8 inches, multiply the corresponding scale factor by 8:

1 inch equals 5 feet; 8 inches equals 40 feet

The genuine house stands 40 feet tall.

B) You can write the percentage if you want...

dwg / (35 feet) = 1 in / (5 ft)

When you multiply by 35 feet, you get...

7 in dwg = (1 in)(35 ft)/(5 ft)

In the scale drawing, the home measures <em>7 inches in length</em>.

5 0
2 years ago
Read 2 more answers
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