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antiseptic1488 [7]
3 years ago
5

What is 1000 rounded to the nearest ten?

Mathematics
1 answer:
Serga [27]3 years ago
5 0
Its 1000 cause its all zeros 
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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
VERY URGENT PLEASE HELP
ira [324]
Use the tutor app to help you he or she will help you for each problem.
6 0
3 years ago
-6<2c-4<14 compound inequality​
Vladimir [108]

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

Add 4 to all sides

-6+4<2c-4+4<14+4

-2<2c<18

Divide by 2

-2/2<2c/2<18/2

-1 < c < 9

8 0
3 years ago
Graph the system of equation -9x + 3y = 27 8x + 8y =40
kirill [66]
(-1, 6) is your answer
6 0
2 years ago
Find the quotient of quantity of 3 times x to the 3rd power plus 9 times x to the 2nd power minus 6 times x all over negative 3
ki77a [65]
            -x^2  -3x    + 2
        ------------------------------
-3x )  3x^3 + 9x^2 - 6x
          3x^3 
                    9x^2
                             -6x

answer is -x^2 - 3x + 2
3 0
3 years ago
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