Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have
y = 4x² ⇒ x = ±√y/2
so the diameter for some given y would be √y/2 - (-√y/2) = √y.
The volume of a cross section with thickness ∆y is then
π/2 (√y/2)² ∆y = π/8 y ∆y
The total volume of the solid would then be
Answer:
See below.
Step-by-step explanation:
The domain and range are correct.
The relation is a function because no x value is used more than once.
Answer:
an = 1/n^2
Step-by-step explanation:
We notice that the denominators are the squares of successive integers. The general term will be ...
Answer:
80v
Step-by-step explanation:
Multiply the numbers: 12 * 4 = 48
=48v + 8 * 4v
Multiply the numbers: 8 * 4 = 32
=48v + 32v
Add similar elements: 48v + 32v = 80v
Answer: 80v
The area of a cube is A= 6L^2. A=surface area, L= edge length
The total area is 6(2L^2) ---> 12L^2. Because when we place the 8 cubes (use 4 cubes to make a square then stack another 4 cube square) to form the original, the small cube's edge (length) is doubled.