1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
3 years ago
13

Which of the following is a solution to the second order differential equation LaTeX: y''=-4y y ″ = − 4 y ? To answer this quest

ion, attempt to verify each of the following proposed solutions. a. LaTeX: y=\sin2t y = sin ⁡ 2 t b. LaTeX: y=-\frac{2}{3}t^3 y = − 2 3 t 3 c. LaTeX: y=\cos2t y = cos ⁡ 2 t d. LaTeX: y=e^{2t} y = e 2 t e. LaTeX: y=\frac{y''}{-4}

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

  • y = sin(2t)
  • y = cos(2t)

Step-by-step explanation:

In the case of each of the answers listed above, the second derivative is equal to -4 times the function, as required by the differential equation.

For y = 2/3t^3, the second derivative is 4t, not -4y.

For y = e^(2t), the second derivative is 4y, not -4y.

__

The graph shows the sum of the second derivative and 4y is zero for the answers indicated above, and not zero for the other two proposed answers.

You might be interested in
Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how ma
bagirrra123 [75]
The mean absolute deviation for this is 1.6
 
3 0
2 years ago
How do i solve this?
n200080 [17]
The polynomial is not factorable, so use the quadratic formula.

y^2 + 8y + 19 = 0

x = (-b +- sqrt(b^2 - 4ac))/(2a)

x = (-8 +- sqrt(8^2 - 4(1)(19))/(2 * 1)

x = (-8 +- sqrt(64 - 76))/2

x = (-8 +- sqrt(-12))/2

If you have not learned imaginary/complex numbers, then the answer is "No solution" since there is no real number solution.

If you have learned imaginary/complex numbers, then we'll continue.

x = (-8 +- 2i sqrt(3))/2

x = -4 +- i sqrt(3)
5 0
3 years ago
Can anyone please help i have no one to help me​
adoni [48]

Answer:

<em>Graph below</em>

Step-by-step explanation:

<u>Transformations</u>

Triangle ABC has coordinates A=(-4,2) B=(-2,6) C=(3,2)

We'll use the transformation (x,y) -> (2x, y+3) to map it to the triangle A'B'C'. Let's calculate the coordinates:

A'=(-8,5)

B'=(-4,9)

C'=(6,5)

The image below shows both triangles in the same grid

8 0
2 years ago
What number is equivalent to 3/4 b-2/3 b =-9
Shtirlitz [24]
Hi,

b =  - 9 \\ \frac{3}{4}  \times b -  \frac{2}{3}   \\ 0.75 \times  - 9 - 0.67 \\  - 6.75 - 0.67 =   - 7.42

Answer: -7.42

Hope this helps.
r3t40
5 0
3 years ago
Given the graph, which coordinate point is NOT a solution?
Natasha2012 [34]

Answer: (1, 2) (The third option)

Step-by-step explanation: A solution has to be on the line. (1, 2) is the only point that isn't on the line.

6 0
1 year ago
Other questions:
  • The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What
    12·1 answer
  • One fifth of the 60 eggs were placed in a box. How many eggs were placed in each box
    9·1 answer
  • △ABC is reflected to form​​ ​ △A′B′C′ ​. The vertices of △ABC are A(3, 1) , B(1, 5) , and C(6, 9) . The vertices of △A′B′C′ are
    5·1 answer
  • 6. Simplify:<br> (1) (37 - (-8)]+[11 - (-30)]<br> Plz answer
    14·2 answers
  • There are 57 students in a middle school concert band. There are 9 more boys than girls. How many boys x and girls y are in the
    15·1 answer
  • Jennifer deposited $10,000 in the account that earns compound interest. The annual interest rate is 8%, and the interest is comp
    14·1 answer
  • Who wants to play truth or dare use the comments and stay on till the game is over and comment down below if you have to leave s
    14·1 answer
  • Y=4.5x+13.45 y=6x-4.55
    13·1 answer
  • Convert 3.12 mm into cm, m and km.​
    12·1 answer
  • Elijah’s home is 1.1km from the library
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!