Here are the scatter plots
Hope this helps :))
I kind of need to see a picture of the diagram.. sorry
Let the volume of prism A be X. Then the volume of prism B is 2X. The combined volume could be described like this:
432 = X + 2X
Solving the equation,
432 = 3X
432/3=X
144=X
The volume of A is 144 cubic feet, while the volume of B is 288 cubic feet.
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).