Answer:
love jacobt tremblay
Step-by-step explanation:
Answer:
4 5/16
Step-by-step explanation:
7 7/8 - 3 9/16
7 14/16 - 3 9/16
4 5/16
Answer:
The discount is $18
Step-by-step explanation:
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
from 0 to 2. Filling in our upper and lower bounds we have
which simplifies to
and
which is 17/3 or 5.667