Question

**y=6-2x-x^2 and y=x+6, about the x-axis. Draw the figure,
set up the integral needed to find the volume when the given curve
is rotated about the specified axis, find the answer. Use
calculator if needed!**

Answer #1

1) Set up, but do not evaluate, an integral to find the volume
when the region bounded by y=1, y=tanx and the y-axis is rotated
about the following lines:
a) The x-axis
b) The y-axis
c) The line y=2
d) The line x=3
e) The line x= -1
2) Set up, but do not evaluate, an integral to find each of the
following:
a) The volume that results when the region in the first quadrant
bounded by y=sinx, y=1 and...

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...

Set up, but do not evaluate, an integral to find each of the
following:
a) The volume that results when the region in the first quadrant
bounded by y=sinx, y=1 and the y-axis is rotated about the
x-axis.
b) The volume that results when the region that is bounded by
y=x3 , y=8 and the y-axis is rotated about the y-axis. c) The
volume when the region bounded by y=ex , x=1, the x-axis and the
y-axis is rotated about...

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)

1. Answer Following Questions, Show work, clear hand writing,
thank you
a. Set up (i.e. DO NOT SOLVE) an integral to find the volume of
the solid obtained when the given region is rotated about the given
axis. The region bounded by y = 2x^2 and y = 2x^3 about the line x
= −1
b. get the general antiderivative of f(x) = (x^2)*(e^−x)
c. Find the length of the polar curve r = 2cosθ

Let S be the region between •x=1, •x=3, •y=6−(x−2)2, and •y=x
2+1.
a) Set up an integral to ﬁnd the area of S. Do not
evaluate.
b) Set up an integral to ﬁnd the volume Vx of the solid obtained by
rotating S about the x-axis. Do not evaluate.
c) Set up an integral to ﬁnd the volume Vy of the solid obtained by
rotating S about the y-axis. Do not evaluate.

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

40) The region bounded by f(x)=−2x^2+12x+32, x=0 and y=0 is
rotated about the y-axis. Find the volume of the solid of
revolution.
Find the exact value; write answers without decimals.

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.

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 8 minutes ago

asked 24 minutes ago

asked 39 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago