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Romashka-Z-Leto [24]
3 years ago
13

I need help pls..........

Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

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Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

with roots at r=-2\pm7i. Then the characteristic solution is

x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
For the following questions use f(x) = 2x + 5<br> Solve f(x) = 11
Eva8 [605]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Can someone explain, i'm literally sweating trying to figure it out
ASHA 777 [7]

Answer:

54 degrees.

Step-by-step explanation:

So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).

Given this, set these values equal to each other to get the value of a.

d = a + b

2a = (a+10)+44

2a = a + 54

a = 54

The measure of the exterior angle is 54 degrees.

4 0
3 years ago
Which system of equations is represented by the graph?
o-na [289]
The answer is the third option, which is:
<span> y = x^2 + 5x + 3 
 6x + y = −27
 The explanation is shown below:
 1. When you solve this problem you have the following solution:
 x=-6
 y=9

 x=-5
 y=3

 2. As you can see the solution corresponds with the graph shown above.
 3. You can give value to the variable x of the first equation and values to the x of the second equation, and plot each point obtain. You will see that the parabola and the line, touch each other at the points (-5,3) and (-6,9)</span>
5 0
4 years ago
What is work shown for -6 - 4x =26
Aleks04 [339]

Answer:

x = -8

Step-by-step explanation:

-6 - 4x = 26

- 4x = 32       add 6 to both sides

x = -8        divide both sides by -4 to isolate the variable

4 0
4 years ago
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