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3 years ago

What is the greatest common multiple of 96,48,84

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

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“encontrar la integral indefinida y verificar el resultado mediante derivación”

Oliga [24]

$I=\displaystyle\int\frac x{(1-x^2)^3}\,\mathrm dx$

Haz la sustitución:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{y^3}=\frac1{4y^2}+C=\frac1{4(1-x^2)^2}+C$

Para confirmar el resultado:

$\dfrac{\mathrm dI}{\mathrm dx}=\dfrac14\left(-\dfrac{2(-2x)}{(1-x^2)^3}\right)=\dfrac x{(1-x^2)^3}$

$I=\displaystyle\int\frac{x^2}{(1+x^3)^2}\,\mathrm dx$

Sustituye:

$y=1+x^3\implies\mathrm dy=3x^2\,\mathrm dx$

$\implies I=\displaystyle\frac13\int\frac{\mathrm dy}{y^2}=-\frac1{3y}+C=-\frac1{3(1+x^3)}+C$

(Te dejaré confirmar por ti mismo.)

$I=\displaystyle\int\frac x{\sqrt{1-x^2}}\,\mathrm dx$

Sustituye:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{\sqrt y}=-\frac12(2\sqrt y)+C=-\sqrt{1-x^2}+C$

$I=\displaystyle\int\left(1+\frac1t\right)^3\frac{\mathrm dt}{t^2}$

Sustituye:

$u=1+\dfrac1t\implies\mathrm du=-\dfrac{\mathrm dt}{t^2}$

$\implies I=-\displaystyle\int u^3\,\mathrm du=-\frac{u^4}4+C=-\frac{\left(1+\frac1t\right)^4}4+C$

Podemos hacer que esto se vea un poco mejor:

$\left(1+\dfrac1t\right)^4=\left(\dfrac{t+1}t\right)^4=\dfrac{(t+1)^4}{t^4}$

$\implies I=-\dfrac{(t+1)^4}{4t^4}+C$

4 0

3 years ago

What is 17/12 as a mixed number

Butoxors [25]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 3 miles to the roa

patriot [66]

53+3(D) = L

53 + 3(38) =L

53 +114 = L

167=L

6 0

3 years ago

Each month for 7 months, Eve reads 3 books. How many more books does she need to read before she has read 30 books?

enot [183]

How many books has she read so far? She's been doing this for 7 months, so so far she's read:

7*3=21

how many does she still need to read?

30-21=9

so she needs to read 9 more books. With 3 books a month, this means:

9/3=3

so she needs to read 9 more books, which will take her 3 months!

6 0

3 years ago

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?. . A.a number line with

r-ruslan [8.4K]

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2. <em> (Shading right side for greater than sign)</em>

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. <em> (Shading left for less than sign)</em>

<em>We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.</em>

And because we have "OR" composite inequality.

<em>So, we would take the combination of both shaded portion.</em>

<h3>Therefore, correct option is C.number line with shading everywhere.. </h3>

4 0

3 years ago