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3 years ago

Please provide a step by step explanation! What is the value of x?

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

8 0

Answer:

omg someone delete my question i dont have any of them anymore like why

Step-by-step explanation:

solniwko [45]3 years ago

3 0

Answer:

25°

Step-by-step explanation:

setup as (2x-5)=45 add 5 to both sides to cancel out the parentheses so u should have 2x=50 left now divide by 2 and u should get 25

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A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

6 0

3 years ago

Plz help me<br> WILL GIVE BRAINLIEST

SVETLANKA909090 [29]

Answer:

I think the answer is 16 (B)

Step-by-step explanation:

Please mark brainlest

5 0

3 years ago

Help please -19 + 2z = -21

777dan777 [17]

Answer:

z = -1

Step-by-step explanation:

You must first start out by adding 19 to both sides to isolate the variable z, which results in:

2z = -2

Now, you can just divide by two on both sides to get z completely on its own, which gives you:

z = -1

Hope this helped somewhat! :D

6 0

2 years ago

You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza

Ronch [10]

Answer:

70 pepperoni 30 sausage

Step-by-step explanation:

30 times 6 is 180

70 times 8 is 560

180 plus 560 is 740

5 0

2 years ago

What is between 0.1 and 0.2

aliya0001 [1]

Theres an infinite amount of numbers because you could have 0.10123 to 0.19998298 its never ending

8 0

3 years ago