3 years ago

Which of the following is closest to? 35/42

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

Answer:

5/6

Step-by-step explanation:

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5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

4 years ago

Given the function fx=x^2-4x-5 identify the zeros using factorization

Mnenie [13.5K]

Answer:

x = 5,-1

Step-by-step explanation:

(x-5)(x+1)

7 0

3 years ago

A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef

UNO [17]

I believe the answer is 1 liter every 4 hours.

3 0

3 years ago

How do i decompose the number 740

Paladinen [302]

Lets do this.

so when you decompose 740 you first get

700

and then you get

40

so your numbers are

700 and 40

or

7 hundreds, 4 tens

3 0

3 years ago

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Help Please 15 points

Tpy6a [65]

Answer:

The Answer is c: 4x5 + x3 + 2x2 – 3

Step-by-step explanation:

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3 years ago

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