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Mrac [35]
3 years ago
10

An expression is shown below. (x^3/4)(x^2/3)

Mathematics
1 answer:
Mkey [24]3 years ago
3 0
For all exponents, (a^n a^m) = a^(n+m)
apply same rules (X^3X^2)/(4*3)
Combine powers. (X^3X^2)/4*3 = X^(3+2)/4*3
X^5/12
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Hey! Can someone help me?
bazaltina [42]

Answer:

I believe the answer is B

5 0
2 years ago
“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
Explain how to find 40×50 using mental math
lara [203]
Just do 4x5 then add the zeros
5 0
3 years ago
Read 2 more answers
Answer the question below about line 1 and line 2 shown below
aleksklad [387]

Step-by-step explanation:

commutative property of multiplication

3 * 5 means 5 + 5 + 5 which equals 15.

5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.

6 0
2 years ago
The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House
irakobra [83]
So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
3 0
3 years ago
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