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Ber [7]
3 years ago
13

What number minus one-half is equal to negative one half

Mathematics
1 answer:
kherson [118]3 years ago
8 0
X-1/2=-1/2
X= -1/2+1/2
X= 0
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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}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

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2 years ago
Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip is foot l
slavikrds [6]
3 for each wall so the totally is 12
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Hope This Helps :)

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