Answer:
option 3, double the height and with of original bottle
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
D 110, gimme that young brainlyest
Answer:
here it is
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the volume of the sphere we need to know its radius.
And the radius can be found with the information we have about the surface area.
The formula for the surface area is as follows:
from this formula we clear the radius r:
and we substitute the known value of the surface area, and also the value of 
:
and now that we know the radius we find the volume:
the volume of the sphere is 
