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Lelu [443]
3 years ago
7

Hi! I really need help, I will give brainliest to whoever is right!

Mathematics
2 answers:
swat323 years ago
8 0

Answer:

1. 1+6a

2. 72.7a+333.5

3. 6-a

4. 1+6a

5. 1

6. 40

7. a-1

Step-by-step explanation:

olga_2 [115]3 years ago
4 0

Answer:

1. 6a+1

2. 7a+5

3. 6-a

4. 6a-1

5. 1

6. 40

7.  a-1

Sorry if they are wrong...

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natali 33 [55]
It is 203.67

Hope this helps.. Make brainliest plz <3
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3 years ago
What is the volume of the figure?
Usimov [2.4K]
The answer is C) 108 cubic units.
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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
This is only the first question out of many
klemol [59]
3, 5, 7
wanna know why, or do you not care?
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A store keeper buys a fishing rod for $20 and sells it for $5 more than he bought it for. express this profit or gain as a perce
nataly862011 [7]
25/20 × 100% = 125%

125% - 100% = 25%

25% profit :)
5 0
3 years ago
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