3 years ago

Which expression is equivalent to (x^6y^8)^3 / x^2y^2?

Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

Answer:

=x^16y^26

Step-by-step explanation:

x^18y^24xy^2

x^16y^24xy^2

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2 years ago

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

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$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

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3 years ago

Which expression is equivalent to (x^6y^8)^3 / x^2y^2?​

Which expression is equivalent to (x^6y^8)^3 / x^2y^2?