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3 years ago

What is 2800m into km

Mathematics

2 answers:

valentinak56 [21]3 years ago

3 0

2.8 kilometers is 2800 meters

Blizzard [7]3 years ago

3 0

The answer is 2.8km.

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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

Help please !!!!!!!!

AlekseyPX

Answer:

Place the left of the dot on -5 and the right one on +7

That should do it :)

5 0

3 years ago

WHAT IS X IF THE EQUATION IS X - 3 = 6?

cestrela7 [59]

Answer:

Step-by-step explanation:

You substitute 9 for x and 9 - 3 = 6

I hope it helps! Have a great day!
Muffin ^^

4 0

3 years ago

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5x+3-2x-2=4 solve for x

mrs_skeptik [129]

Answer:

x=1

Step-by-step explanation:

(5x+−2x)+(3+−2)=4

3x+1=4

3x=3

x=1

6 0

3 years ago

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the perimeter of a rectangular picture frame is 32 in the length of the frame is 2 inches longer than the width what are the dim

stich3 [128]

Answer:

the length is 9 in. and the width is 7 in.

Step-by-step explanation:

this is hard to explain but i promise that this is the correct answer.

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3 years ago