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...
Answer:
the x intercept=(-6,0) and y intercept=(0,14)
Step-by-step explanation:
i used math may but put the m as w, it works
Answer:
z = 8/3
Step-by-step explanation:
10- 3/4z = 8
Subtract 10 from each side
10-10- 3/4z = 8-10
-3/4z = -2
Multiply each side by -4/3
-3/4z * -4/3 = -2 *4/3
z = 8/3
Answer:
$87025
Step-by-step explanation:
Net worth is assests minus liabilities
Answer:
see below
Step-by-step explanation:
The recursive function tells you the first term is 1. That is the meaning of ...
It also tells you that to find the next term, you multiply this term by 1/2:
And, to find the next term, you multiply this term by 1/2:
Then the first three terms are ...
1, 1/2, 1/4
