First, I should point out that g(x) should be written as g(x)=(x+2)/3, otherwise the problem is confusing.
(A)
(B) Since and
, it holds that
for all x. This means the composed functions are *identical*
4.1 * 10 to the 2nd power in standard form
2 answers:
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notice your vertex there, 1, -3
h = 1
k = -3
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
The given parameter is:
The volume of a cylinder is calculated as:
Make h the subject
The surface area (A) of a cylinder is:
Substitute
Differentiate
Set to 0
Rewrite as:
Multiply through by r^2
Solve for r
So, we have:
Hence, the relationship between the volume and the surface area is:
Read more about surface areas and volumes at: