Part one:
A solid dog dish is obtained by rotating the region bounded by y=0,
y=x3, x=0, x=1 about the y-axis. Determine the volume
using the disk/washer method.
Part two:
Determine the volume from the last problem using the shell
method.
Please write clearly. no script.. :-)
Part one: A solid dog dish is obtained by rotating the region bounded by y=0, y=x3,...
sketch the solid and a typical dish or washer obtained by rotating the region bounded by the given curves about the specified line. y= 8x, y= 8sqrt(x); about y=8 Sketch the solid, and a typical disk or washer. 1 03 05 15 y=05 os 15
Question1: (a) Find the volume of the solid obtained by rotating the region bounded by y= ln x, y=1, y=2, x=0; about the y-axis. (b) sketch the region, the solid and a typical disk or washer.
Determine the volume of the solid obtained by rotating the portion of the region bounded by y = 2 (x -1)^1/2 and y = x -1 about the line x = -1. Using the disk/washer method.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then on your own sketch the solid, and a typical disk or washer. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then...
14) Determine the volume of the solid obtained by rotating the region bounded by y = 4x and y = x3 about y-axis. Assume that x ≥ 0.
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using the shell method 1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the...
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis, 5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
please show work? CC4 6.2.003. Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. 1 = 2/54, 1 = 0, y = 7 Find the volume V of this solid. V = Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.) Shout
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______