Answer:
0.428571429
Step-by-step explanation:
Given:
Find: interval notation of the given number line.
Explanation:
is the interval notation for the given number line.
Answer:
25 Days
Step-by-step explanation:
2.5 x 25= 62.5 and you can't go above that or it's over 64.
By the chain rule,
which follows from 
.
is then a function of 
; denote this function by 
. Then by the product rule,
![\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dt}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm df}{\mathrm dx}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%5E2y%7D%7B%5Cmathrm%20dx%5E2%7D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%5Cright%5D%3D-%5Cdfrac1%7Bx%5E2%7D%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%2B%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20df%7D%7B%5Cmathrm%20dx%7D)
and by the chain rule,
so that
Then the ODE in terms of 
is
The characteristic equation
has two roots at 
and 
, so the characteristic solution is
Solving in terms of gives
For this question you can say:
4/6 = 28/42 and 5/7 = 30/42
so now you can see 30/42 is greater than 28/42
so the answer is:
4/6 < 5/7 :)))
I hope this is helpful
have a nice day
