Question

Set up, but do not evaluate, the integral for the volume of the solid obtained by rotating the region enclosed by y=\sqrt{x}, y=0, x+y=2 about the x-axis. Sketch

a) By Washers

b) Cylindrical shells

Answer #1

Set up an integral to find the volume of solid obtained by
rotating about the given axis, the region bounded by the curves
y=2x and x= sqrt 2y. Sketchh!! Axis - Y axis (Washer and Shell)

Using any method, SET UP, but do NOT evaluate, an integral
representing the volume of the solid obtained by rotating the
region bounded by the curves y = 1 x , y = 0, x = 1, x = 3 about
(a) the line y = −1 (b) the y-axis.

Using any method, SET UP, but do NOT evaluate, an integral
representing the volume of the solid obtained by rotating the
region bounded by the curves y = 1/x , y = 0, x = 1, x = 3 about
(a) the line y = −1 (b) the y-axis

Sketch the graph. Set up (DO Not Evaluate) an integral for the
volume of the solid that results when the area bound by y=2x-x^2
and y= 0 is revolved about the y axis.

#6) a) Set up an integral for the volume of the solid S
generated by rotating the region R bounded by x= 4y and y= x^1/3
about the line y= 2. Include a sketch of the region R. (Do
not evaluate the integral).
b) Find the volume of the solid generated when the plane region
R, bounded by y^2= x and x= 2y, is rotated about the
x-axis. Sketch the region and a typical shell.
c) Find the length of...

Problem (9). Let R be the region enclosed by y = 2x, the x-axis,
and x = 2. Draw the solid and set-up an integral (or a sum of
integrals) that computes the volume of the solid obtained by
rotating R about:
(a) the x-axis using disks/washers
(b) the x-axis using cylindrical shells
(c) the y-axis using disks/washer
(d) the y-axis using cylindrical shells
(e) the line x = 3 using disks/washers
(f) the line y = 4 using cylindrical...

Set up an integral to ﬁnd the volume of the solid generated when
the region bounded by y = square root(x) and y = (1/2)x is
(a) Rotated about the x-axis using washers
(b) Rotated about the line x = −4 using washers
(c) Rotated about the line y = 5 using shells

2. Set up an integral to find the volume of the solid generated
when the region bounded by y = 2x2 and y = x3
is
(a) Rotated about the x-axis using shells
(b) Rotated about the x-axis using washers
(c) Rotated about the y-axis using shells
(d) Rotated about the y-axis using washers
(e) Rotated about the line x = −3
(f) Rotated about the line y = −2
(g) Rotated about the line y = 11
(h) Rotated...

The region is bounded by y=2−x^2 and y=x. (a) Sketch the region.
(b) Find the area of the region. (c) Use the method of cylindrical
shells to set up, but do not evaluate, an integral for the volume
of the solid obtained by rotating the region about the line x = −3.
(d) Use the disk or washer method to set up, but do not evaluate,
an integral for the volume of the solid obtained by rotating the
region about...

A. (1 point) Find the volume of the solid obtained by rotating
the region enclosed by ?= ?^(4?)+5, ?= 0, ?= 0, ?= 0.8
about the x-axis using the method of disks or washers. Volume =
___ ? ∫
B. (1 point) Find the volume of the solid obtained by rotating
the region enclosed by ?= 1/(?^4) , ?= 0, ?= 1, and ?= 6,
about the line ?= −5 using the method of disks or washers.
Volume = ___?...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 25 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago