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3 years ago

What is the product of 3x1/5?

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

7 0

Answer: 3/5

Step-by-step explanation: 1/5*3=1/5+1/5+1/5=3/5

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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

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his

Ksivusya [100]

Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

Step-by-step explanation:

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

Alex wrote checks on Tuesday for $30 and $40:

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

He also made a deposit in his checking account of $180:

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

6 0

3 years ago

How much is 3 divided by 1/6

meriva

Answer:

Step-by-step explanation:

3/1 ÷ 1/6

= 3/ 1 × 6/1

3 × 6

1 × 1

= 18

8 0

3 years ago

The sum of two numbers is 56, and their difference is 10. What are the numbers?

Elanso [62]

Answer:

23 and 33

Step-by-step explanation:

23+33=56

33-23=10

6 0

3 years ago

Read 2 more answers

Suppose the linear regression line y=2.1x+130 predicts sales based on the money spent on advertising. If x represents the dollar

slega [8]

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

5 0

3 years ago

What is the product of 3x1/5?​

What is the product of 3x1/5?