Graham’s number is an immense number that arises as an upper bound on the answer of a problem in the mathematical field of Ramsey theory.
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The average rate of change of a function is its slope
The average rate of change of the function is 4
<h3>How to calculate the average rate of change</h3>
The function is given as:

The interval of the function is given as:
x = 2 to x =6
Start by calculating f(2) and f(6)


The average rate of change of the function is then calculated as:


So, we have:



Hence, the average rate of change of the function is 4
Read more about average rates at:
brainly.com/question/8728504
Answer:
x = -6 ±sqrt(251)
Step-by-step explanation:
3(x+6)^2=753
Divide each side by 3
3/3(x+6)^2=753/3
(x+6)^2=251
Take the square root of each side
sqrt((x+6)^2)=±sqrt(251)
x+6 = ±sqrt(251)
Subtract 6 from each side
x+6-6 = -6 ±sqrt(251)
x = -6 ±sqrt(251)
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The volume formula of a cylinder is:
V =

r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =

r²(18)

=

r²
536 =

r²

= r²

= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is
2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =

(6.53)²(9)
= 1206 in³