Help me with this!!!

Mathematics

1 answer:

geniusboy [140]3 years ago

4 0

Answer:

-7

Step-by-step explanation:

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How do i solve this equation

olga2289 [7]

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If you cut length L from the 16 ft halyard, you are subtracting the value of L from 16. This means that the second piece should be 16-L feet long.

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3 years ago

Write the linear system of differential equations in matrix form then solve the system.

zvonat [6]

In matrix form, the system is

$\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}1&1\\4&1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}$

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$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}1-\lambda&1\\4&1-\lambda\end{vmatrix}=(1-\lambda)^2-4=0\implies\lambda^2-2\lambda-3=0$

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Find the corresponding eigenvector for each eigenvalue:

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