Answer:
For y(-7) =6.4
The largest interval is between
![-\infty \to -5](https://tex.z-dn.net/?f=-%5Cinfty%20%5Cto%20-5)
For y(-2.5) = -0.5.
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(0) = 0
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(4.5) = -2.1.
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(14)= 1.7.
The largest interval is between
Step-by-step explanation:
From m the question we are told that
The first order differential equation is ![\frac{y' - t}{ t^2 -25} = \frac{e^t}{t-9}](https://tex.z-dn.net/?f=%5Cfrac%7By%27%20-%20%20t%7D%7B%20t%5E2%20-25%7D%20%3D%20%20%5Cfrac%7Be%5Et%7D%7Bt-9%7D)
Now the first step is to obtain the domain of the differential equation
Now to do that let consider the denominators
Now generally
side calculation
=>
![t^2 - 25 = 0](https://tex.z-dn.net/?f=t%5E2%20-%2025%20%3D%20%200)
![t = \pm 5](https://tex.z-dn.net/?f=t%20%3D%20%5Cpm%205)
Also
![t -9 = 0](https://tex.z-dn.net/?f=t%20-9%20%3D%200)
=>
This means that this first order differential equation is discontinuous at
![t = -5 , \ \ t = 5 \ \ t = 9](https://tex.z-dn.net/?f=t%20%3D%20%20-5%20%2C%20%20%5C%20%20%20%5C%20%20t%20%3D%20%205%20%5C%20%5C%20%20t%20%3D%20%209)
![This \ is \ illustrated \ below \ \\ ------------------\\\. \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ |\\. \ -5 \ \ \ \ \ \ \ \ \ \ \ \ 5 \ \ \ \ \ \ \ \ \ \ \ \ \ 9](https://tex.z-dn.net/?f=This%20%20%5C%20%20is%20%5C%20%20illustrated%20%5C%20%20below%20%20%20%20%5C%20%20%5C%5C%20%20%20%20%20%20------------------%5C%5C%5C.%20%5C%20%5C%20%5C%20%20%7C%20%5C%20%5C%20%5C%20%20%20%5C%20%5C%20%5C%20%20%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%5C%5C.%20%5C%20%20-5%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%205%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%209)
So
For y(-7) =6.4
The largest interval is between
![-\infty \to -5](https://tex.z-dn.net/?f=-%5Cinfty%20%5Cto%20-5)
For y(-2.5) = -0.5.
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(0) = 0
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(4.5) = -2.1.
The largest interval is between
![-5 \to 5](https://tex.z-dn.net/?f=-5%20%5Cto%205)
For y(14)= 1.7.
The largest interval is between
Total money spent is $11425 buying 75 animals
each chicken costs $65 so 50 costed the farmer $3250
each cow costs $45 so 15 cows costed the farmer $675
ducks purchased were 10
to find how much the ducks costs we will add the money spent the farmer and subtract it from the total amount spent.
11425-3250-675=$7500
10 ducks = $7500
so one duck costs 7500/10=$750
the price for each duck is $750
9.10 x 10^-4
Please give brainliest.
$9.99+$0.25x
X stands for the number of songs the person got which would come around 415 songs