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:
x = 15
Step-by-step explanation:
48/12 = 4
60/4 = 15
Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.
We are given the average body heat equal to 2200 BTU. In this problem, we are asked to determine the total body heat in BTU per cubic foot given the dimensions of the room. The volume of the room is 18000 ft3. we multiply the average heat by 20 persons.hence the answer to this problem is 2.44 BTU/ft3.
Answer:
30/2=15 black
30/100*20= 6 blue
15+6= 21
30-21=9
9 were neither black or blue