Answer:
See Explanation
Step-by-step explanation:
Given
![mx + 2x = 6](https://tex.z-dn.net/?f=mx%20%2B%202x%20%3D%206)
Required
Make the variable in bracket the subject
From the given expression, none of the variables (m and x) are in brackets.
So, I will solve for m and then solve for x
Solving for m:
![mx + 2x = 6](https://tex.z-dn.net/?f=mx%20%2B%202x%20%3D%206)
Subtract 2x from both sides
![mx = 6 - 2x](https://tex.z-dn.net/?f=mx%20%3D%206%20-%202x)
Divide both sides by x
![m = \frac{6 - 2x}{x}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6%20-%202x%7D%7Bx%7D)
Solving for x:
![mx + 2x = 6](https://tex.z-dn.net/?f=mx%20%2B%202x%20%3D%206)
Factorize
![x(m+2)= 6](https://tex.z-dn.net/?f=x%28m%2B2%29%3D%206)
Divide both sides by m + 2
![x = \frac{6}{m+2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6%7D%7Bm%2B2%7D)
Answer:
360 elk are likely to be infected.
The exterior angle of a polygon equals the central angle.
360 / 21.2 =
<span>
<span>
<span>
16.9811320755
</span>
</span>
</span>
Which rounds to 17 sides.
Using a calculator, we can check that
![e=2.718281828](https://tex.z-dn.net/?f=e%3D2.718281828)
.
Lets evaluate each one of our expression the check which one is closest to
![e](https://tex.z-dn.net/?f=e)
:
![(1+ \frac{1}{31} )^{31}=2.675686306](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B1%7D%7B31%7D%20%29%5E%7B31%7D%3D2.675686306)
![(1+ \frac{1}{32})^{32}=2.676990129](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B1%7D%7B32%7D%29%5E%7B32%7D%3D2.676990129%20)
![(1+ \frac{1}{34} )^{34}=2.679355428](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B1%7D%7B34%7D%20%29%5E%7B34%7D%3D2.679355428)
![(1+ \frac{1}{33} )^{33}=2.678207651](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B1%7D%7B33%7D%20%29%5E%7B33%7D%3D2.678207651)
We can conclude that the value of <span>
(1 +1/34) to the power of 34 is the closest to the value of </span>
![e](https://tex.z-dn.net/?f=e)
.
Answer:
cos3x
Step-by-step explanation:
y" - y' + 9y = 3 sin 3x
![D^{2}y-Dy+9y=3 sin3x](https://tex.z-dn.net/?f=D%5E%7B2%7Dy-Dy%2B9y%3D3%20sin3x)
![y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%20sin%203x%7D%7B%28D%5E%7B2%7D%20-D%2B9%7D%3D3%20sin%203x)
here
will be replaced by
where
is coefficient of x
![y=\frac{3 sin 3x}{-3^{2} -D+9}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%20sin%203x%7D%7B-3%5E%7B2%7D%20-D%2B9%7D)
![y=-3\frac{sin 3x}{D}](https://tex.z-dn.net/?f=y%3D-3%5Cfrac%7Bsin%203x%7D%7BD%7D)
![y=-3\int\ {sin 3x} \, dx](https://tex.z-dn.net/?f=y%3D-3%5Cint%5C%20%7Bsin%203x%7D%20%5C%2C%20dx)
![y=-3\frac{cos3x}{-3}](https://tex.z-dn.net/?f=y%3D-3%5Cfrac%7Bcos3x%7D%7B-3%7D)
y=cos3x
hence Particular solution is cos3x