First, we have to convert our function (of x) into a function of y (we revolve the curve around the y-axis). So:
And the derivative of x:
Now, we can calculate the area of the surface:
We could calculate this integral (not very hard, but long), or use
(1),
(2) and
(3) to get:
Calculate indefinite integral:
And the area:
Answer D.
Answer:
1.28 or 128
Step-by-step explanation:
you would take 32 and divide it by.25
Refer to the figure shown below.
The shaded area is common to the given curves.
The curves y=x and y = 1/x intersect at (1,1).
The area of the shaded region is
If the centroid of the shaded area is (x₁, y₁), then
Also,
The curve y = 1/x intersects x=2 at y = 1/2.
Therefore
Answer:
The centroid is located at (1.6524, 1.1361)
Your best answer would be c or d but mainly d