Answer: f(x) = x + 2; f(12) = 14
<u>Step-by-step explanation:</u>
The parent function of f(x) = x has been shifted up 2 units
⇒ f(x) = x + 2
f(12) = 12 + 2
= 14
Answer:
a)
, b)
, c) ![\delta = 1.9\,\%](https://tex.z-dn.net/?f=%5Cdelta%20%3D%201.9%5C%2C%5C%25)
Step-by-step explanation:
a) The area of the circular disk is modelled after this expression:
![A = \pi \cdot r^{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%5Ccdot%20r%5E%7B2%7D)
The total differential is given by the following formula:
![\Delta A = 2\pi r \cdot \Delta r](https://tex.z-dn.net/?f=%5CDelta%20A%20%3D%202%5Cpi%20r%20%5Ccdot%20%5CDelta%20r)
The maximum absolute error in the calculated area of the disk is:
![\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)](https://tex.z-dn.net/?f=%5CDelta%20A%20%3D%202%5Cpi%20%5Ccdot%20%2821%5C%2Ccm%29%5Ccdot%20%280.2%5C%2Ccm%29)
![\Delta A \approx 26.389\,cm^{2}](https://tex.z-dn.net/?f=%5CDelta%20A%20%5Capprox%2026.389%5C%2Ccm%5E%7B2%7D)
b) The relative error is given by:
![r_{A} = \frac{\Delta A}{A}](https://tex.z-dn.net/?f=r_%7BA%7D%20%3D%20%5Cfrac%7B%5CDelta%20A%7D%7BA%7D)
![r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}](https://tex.z-dn.net/?f=r_%7BA%7D%20%3D%20%5Cfrac%7B26.389%5C%2Ccm%5E%7B2%7D%7D%7B%5Cpi%20%5Ccdot%20%2821%5C%2Ccm%29%5E%7B2%7D%7D)
![r_{A} \approx 0.019](https://tex.z-dn.net/?f=r_%7BA%7D%20%5Capprox%200.019)
c) The percentage error is:
![\delta = r_{A}\times 100\,\%](https://tex.z-dn.net/?f=%5Cdelta%20%3D%20r_%7BA%7D%5Ctimes%20100%5C%2C%5C%25)
![\delta = 0.019 \times 100\,\%](https://tex.z-dn.net/?f=%5Cdelta%20%3D%200.019%20%5Ctimes%20100%5C%2C%5C%25)
![\delta = 1.9\,\%](https://tex.z-dn.net/?f=%5Cdelta%20%3D%201.9%5C%2C%5C%25)
Answer: B 5 and 5 square root 3
Step-by-step explanation:
Answer:
He plowed 50 rows.
Step-by-step explanation:
Use proportions
1/4 = x/200
then cross multiply to find x.
4x=200
Divide both sides by 4
x= 50
He plowed 50 rows.