A graph can increase or decrease at an interval or several intervals
- The interval with the longest curve or line represents the greatest change.
- The intervals with the greatest rate of change are ab and de
- The intervals with the least rate of change are bc and cd
- The intervals with the equal rates of change are ab and de
<u>Part A: How to determine the longest interval</u>
The longest interval will have a great change in the y-values, and a small change in the x-values.
An instance of such interval is interval ab
<u>Part B: Intervals with the greatest rate</u>
Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.
Hence, intervals ab and de have the greatest rate of change
<u>Part C: Intervals with the least rate</u>
Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,
Hence, intervals ab and de have the least rate of change
<u>Part D: Intervals with the equal rate</u>
As said in (b) and (c),
- Intervals ab and de have equal rates
- Intervals bc and cd have equal rates
Read more about intervals and rates at:
brainly.com/question/23483858
The function is increasing on the intervals (-infinity, -2.5] and [1, infinity)
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
The <em>total</em> area of all six faces of the tunnel is
square centimeters.
<h2>Procedure - Surface area of a tunnel for a toy train</h2>
The surface area of the solid (
) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).
<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>
We calculate the surface area as following:
![A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)](https://tex.z-dn.net/?f=A%20%3D%202%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Ccdot%20%5B%2810%5C%2Ccm%29%5E%7B2%7D-%288%5C%2Ccm%29%5E%7B2%7D%5D%20%2B%20%5Cpi%5Ccdot%20%288%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%20%5Cpi%5Ccdot%20%2810%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%202%5Ccdot%20%282%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29)

The <em>total</em> area of all six faces of the tunnel is
square centimeters. 
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293