PLZ HELP! QUESTIONS ARE BELOW! :D
1 answer:
You might be interested in
As per the problem,
we have been asked to find the difference of the given fractions.
The given fractions are
Make denominator equal and simplify we get
The difference of the given fractions=4/21
<h3>Answer: 36pi (choice b)</h3>
===========================================================
Explanation:
Let x = length of side BC
This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD
If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly
This is the radius of the cylinder
The volume of a cylinder is
Plug in the radius and height mentioned to get this function in terms of x
That simplifies to
or
Ignore the pi portion for now.
We wish to maximize the function f(x) = 12x-x^2
Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)
This means x = 6 leads to the largest f(x) value being 36.
Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.