Question

Solve the problem.

Find the area bounded by y(4 + 16x^{2}) = 4, x = 0, y = 0,
and x = 5.

Answer #1

Find the area of the region bounded by the curves x+y^2= 2 and
x+y=0

4. Find the area of the region bounded by the curve y = 4 − x 2
and the line y = x + 2.

5. Find the area bounded by the curves: two x = 2y - y^2 ; x =
0.
6. Find the surface area of the solid of revolution generated
by rotating the region along the x-axis. bounded by the curves: ? =
2?; y = 0 since x = 0 until x = 1

A. For the region bounded by y = 4 − x2 and the x-axis, find
the volume of solid of revolution when the area is revolved
about:
(I) the x-axis,
(ii) the y-axis,
(iii) the line y = 4,
(iv) the line 3x + 2y − 10 = 0.
Use Second Theorem of Pappus.
B. Locate the centroid of the area of the region bounded by y
= 4 − x2 and the x-axis.

When we revolve the area bounded by y = x 4 , y = 4, and x = 0
about the y-axis, we get a volume resembling a tank. We will
calculate the work required to pump fluid out of this tank given by
W = R (area)(density)(distance).
(a) Sketch this tank.
(b) Start by calculating the area of a horizontal disk.
(c) Now, find the distance we have to move this disk to get it
out of the tank....

1.Find the area of the region between the curves y= x(1-x) and y
=2 from x=0 and x=1.
2.Find the area of the region enclosed by the curves
y=x2 - 6 and y=3 between their
interaction.
3.Find the area of the region bounded by the curves
y=x3 and y=x2 between their interaction.
4. Find the area of the region bounded by y= 3/x2 ,
y= 3/8x, and y=3x, for x greater than or equals≥0.

Compute the area bounded by x² + y² = 4 , x² + y² = 4x (
please answer quickly)

Find the area of the region bounded by the graphs:
y=x^2-4
y=x^4-4x^2
I set the equations equal to one another then solved for zero,
but I am stuck after getting x^4-5x^2+4

Determine the volume generated by the area bounded by y=12-x,
y=x^(2), and x=0 revolved about y+2=0

Find the volume of the solid generated by revolving the region
bounded by
x2−y2=16, x≥0, y=−4,y=4
about the line
x=0.

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