Answer:
The total amount of pollution discharged during the first 7 years of operation is 1.955 tons
Step-by-step explanation:
Given

Required
The total amount in the first 7 years
This implies that:
![r(t) = \frac{t}{t^2 + 1}; [0,7]](https://tex.z-dn.net/?f=r%28t%29%20%3D%20%5Cfrac%7Bt%7D%7Bt%5E2%20%2B%201%7D%3B%20%5B0%2C7%5D)
The total amount is calculated by integrating r(t) i.e.

So:

--------------------------------------------------------------
We have:

Differentiate

Rewrite as:

Solve for t

---------------------------------------------------------------------------
So:
Make t the subject



Integrate

Expand
![v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)]](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%5Cln%287%5E2%20%2B1%29%20-%20%5Cln%280%5E2%20%2B1%29%5D)
![v = \frac{1}{2}[\ln(50) - \ln(1)]](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%5Cln%2850%29%20-%20%5Cln%281%29%5D)
![v = \frac{1}{2}[3.91 - 0]](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B3.91%20-%200%5D)
![v = \frac{1}{2}[3.91]](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B3.91%5D)

Answer:
9 sq units
Step-by-step explanation:
1.5+1.5+4.5+1.5 = 9
Answer: 9
Step-by-step explanation:
Question:
Solve the equation 2x2−5x+3=0 by the method of completing square.
Answer:
We have,
2x2−5x+3=0
⇒x2−25x+23=0 (Dividing throughough by 2)
⇒x2−25x=−23 (Shifting the constant term on RHS)
⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)
⇒(x−45)2=1625−23⇒(x−45)2=16
127.40/26 = $4.90 per pound
18 * 4.9 = $88.20
It would cost $88.20