a has a positive vaule because of the negitive
A 5x2=10 I think it’s right
Answer:
Compound Events
Step-by-step explanation:
Answer:
![\pm 9in^2](https://tex.z-dn.net/?f=%5Cpm%209in%5E2)
Step-by-step explanation:
We are given that
Radius of end of a log, r= 9 in
Error,
in
We have to find the error in computing the area of the end of the log by using differential.
Area of end of the log, A=![pi r^2](https://tex.z-dn.net/?f=pi%20r%5E2)
![\frac{dA}{dr}=2\pi r](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdr%7D%3D2%5Cpi%20r)
![\frac{dA}{dr}=2\pi (9)=18\pi in^2](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdr%7D%3D2%5Cpi%20%289%29%3D18%5Cpi%20in%5E2)
Now,
Approximate error in area
![dA=\frac{dA}{dr}(\Delta r)](https://tex.z-dn.net/?f=dA%3D%5Cfrac%7BdA%7D%7Bdr%7D%28%5CDelta%20r%29)
Using the values
![dA=18\pi (\pm 1/2)](https://tex.z-dn.net/?f=dA%3D18%5Cpi%20%28%5Cpm%201%2F2%29)
![\Delta A\approx dA=\pm 9in^2](https://tex.z-dn.net/?f=%5CDelta%20A%5Capprox%20dA%3D%5Cpm%209in%5E2)
Hence, the possible propagated error in computing the area of the end of the log![=\pm 9in^2](https://tex.z-dn.net/?f=%3D%5Cpm%209in%5E2)