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3 years ago

Given a system of linear equations: dy/dx = 4x-y dy/dx = x-2y Find the general solution.

Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

x=-y/3

y=-3x

Step-by-step explanation:

dy/dx=4x-y means 4x-y=0

dy/dx=x-2y also means x-2y=0 then

4x-y=x-2y

3x=-y

y=-3x

x=-y/3

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3 years ago

A hang glider dropped his cell phone from a height of

elixir [45]

Answer:

It took the cell phone 4.15 seconds to reach the ground

Step-by-step explanation:

The formula is $t=\frac{\sqrt{h}}{4}$ , where t is the time and h is the height

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5 0

4 years ago

The elevation of the highest point in a region is 555m above sea level. If the lowest point in the region is -55 m, find the dis

katrin [286]

Answer:

610 meters is the total distance

Step-by-step explanation:

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4 years ago

Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion do

V125BC [204]

Answer:

Step-by-step explanation:

It is given that

$\Delta=\begin{vmatrix}3&0&3\\2 &3&3\\0 &4&-2\end{vmatrix}$

By cofactor expansion across the first row, we get

$\Delta=a_{11}C_{11}+a_{12}C_{12}+a_{13}C_{13}$

$\Delta=3\left[(-1)^{1+1}\begin{vmatrix}3&3\\4&-2\end{vmatrix}\right]+0\left[(-1)^{1+2}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{1+3}\begin{vmatrix}2&3\\0&4\end{vmatrix}\right]$

$\Delta=3\left[-18\right]+0\left[(-1)(-4)\right]+3\left[8\right]$

$\Delta=-54+0+24$

$\Delta=-30$

Therefore, the value of determinant is -30.

By cofactor expansion across the second column, we get

$\Delta=a_{12}C_{12}+a_{22}C_{22}+a_{32}C_{32}$

$\Delta=0\left[(-1)^{2+1}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{2+2}\begin{vmatrix}3&3\\0&-2\end{vmatrix}\right]+4\left[(-1)^{3+2}\begin{vmatrix}3&3\\2&3\end{vmatrix}\right]$

$\Delta=0\left[(-1)(-4)\right]+3\left[(-6)\right]+4\left[(-1)3\right]$

$\Delta=-18-12$

$\Delta=-30$

Therefore, the value of determinant is -30.

7 0

4 years ago