We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):
The midpoint of AB is (4,3).
36 * 2/3 = 24 were blueberry.
36 - 24 = 12 were not blueberry.
Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.
Let's solve for b.
2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b
y = 1/2x + 5
Answer:
the 4th one
Step-by-step explanation:
