Question

Find the volume generated by revolving the area in the first
quadrant bounded by the

curve y = e^{-x} when the area is revolve about the line y
= -1 using the circular ring

method.

Answer #1

1- Find the area enclosed by the given curves.
Find the area of the region in the first quadrant bounded on the
left by the y-axis, below by the line above left
by y = x + 4, and above right by y = - x 2 + 10.
2- Find the area enclosed by the given curves.
Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve , below by the curve y...

Find the volume of the solid generated by revolving the following
region about the given axis. The region in the first quadrant
bounded above by the curve y=x^2, below the x-axis, and on the
right by the line x=1, about the line x=-4. Use the washer method
to set up the integral that gives the volume of the solid.

Using the Shells method, find the volume of the solid generated
by revolving the region bounded by
y = 5 - x, y = 0, x = 0
about the line y = -1.

Find the volume of the solid generated by revolving the plane
region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the
line x=8.
Find the volume using: a) DISK/WASHER Method b) SHELL METHOD

Find the volume of the solid generated by revolving the plane
region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the
line x=8.
Find the volume using: a) DISK/WASHER Method b) SHELL METHOD

Find the volume of the solid generated by revolving
the area bounded by the given
curves/lines about the indicated axis using both vertical and
horizontal elements if applicable.
y=x² ,x=1, y=0
a. about the axis
b. about x=1
c. about the y-axis

Find the centroid using the circular disc method: The
volume formed by revolving about Oy the area in the first quadrant
bounded by y^2 = 4ax, y=0, x=a.

Find the volume of the solid generated by revolving the region
bounded by the given curve and lines about the x-axis. y=4 square
root x, y=4 x=0

Find the volume of the solid generated by revolving the region
about the given line.
The region in the second quadrant bounded above by the curve y =
9 - x^2 , below by the x-axis, and on the right by the y-axis,
about the line x=1.
Please write as legible as possible and thanks for the help.

Find the volume of the solid generated by revolving the region
bounded by the graphs of y = e x/4 , y = 0, x = 0, and x = 6 about
the x−axis.
Find the volume of the solid generated by revolving the region
bounded by the graphs of y = √ 2x − 5, y = 0, and x = 4 about the
y−axis.

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