2 years ago

Please help me ASAP thank you !!

Mathematics

1 answer:

Andrews [41]2 years ago

8 0

Answer:

Step-by-step explanation:

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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 $L$

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

$L=\frac{3s+3}{s^2+5s+4}$

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

$L=\frac3{s+4}$

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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How long will it take a seal swimming at a speed of 8 miles per hour to travel 52 miles

Olin [163]

$8\ miles\ per\ 1\ hour\\
52\ miles\ per\ x\ hour\\\\
proportion:\\
8-1\\52-x\\\\cross\ multiplication\\\\
8x=52\ \ \ | divide\ by\ 8\\\\
x=6.5\\\\
It\ will\ take\ 6.5\ hours.$

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The answer is 58 degrees.

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jek_recluse [69]

Answer:

b = c/a

Step-by-step explanation:

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4x - y = -4<br> 5x = 2y +1<br> how do I solve this using elimination?

julia-pushkina [17]

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