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alex41 [277]
3 years ago
13

Find a solution to y″+9y=6sin(3t).

Mathematics
1 answer:
QveST [7]3 years ago
3 0
 <span>y" + 9y = 0 
m^2 + 9 = 0 
m = ± 3i 

yH = C1 cos 3t + C2 sin 3t 

yP = C3 t sin 3t + C4 t cos 3t
hope this helps </span>
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1.5.3
SIZIF [17.4K]

Answer:

A. x^2 = (4x - 1)^2 + (6x + 7)^2

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

Opposite = 6x + 7

Adjacent = 4x - 1

Hypothenuse = x

Pythagoras theorem states that:

Hypothenuse^2 = Opposite^2 + Adjacent^2

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

x^2 = (6x + 7)^2 + (4x - 1)^2

or

x^2 = (4x - 1)^2 + (6x + 7)^2

From the list of given options.

A answers the question

5 0
3 years ago
Find the exact value of sec 3pi/2<br> If not defined, write undefined.
Olenka [21]

Answer: Undefined

Step-by-step explanation:

Sec 3\pi/2 = 1/Cos(3\pi/2) = 1/0 = Undefined

6 0
2 years ago
4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
Given the function f(x) graphed on the coordinate plane 15
den301095 [7]

Answer:

2

Step-by-step explanation:

5 0
2 years ago
If something is $380, then the sellers mark up the price by 84%, what is the final sale price??
nadya68 [22]
699.2 is correct answer
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3 years ago
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