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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 5e−x^2, y = 0, x = 0, x = 1
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Oct 21, 2006 · 1. find the volume of the solid obtained by rotating the region by the given area about the specified lines. y= 1/ x^3, y= 0, x=3, x=4 ABOUT x=-3 so i have integral from 3 to 4 of [(-3)^2 - (1/x^3)^2] dx is that right? 2. find the volume of the solid obtained by rotating the region bounded by the given curves about specified line
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Absolute figure size as fraction of the device service. c(width, height). fty. Figure Type; to control shape of plot; m=(default) maximal; s=square; r=arranged by rows; c=arranged by columns. c. mfg †. Multiple figure graphics; gives the row and column count. c(i, j, m, n). mfcol.
Find the cost-minimizing combination of labor and capital for an airframe manufacturer that wants to produce 121,000 airframes. Show that at an interior optimum (with K > 0 and L > 0) the amount of L demanded does not depend on Q. What does this imply about the expansion path?
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In this video we find the volume of the solid obtained by rotating a region bounded by y=e^(-x), y=1, and x=2 about the horizontal line y=1. To do so, we use the disk method horizontal axis of rotation formula. Volumes by Slicing: Volume Generated by Rotation About y = 6.
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a) Region 1 is between x=1 and x = 0. Whe're going to be rotating the volume about a vertical line, which is x=0. What we want to do is to create one washer. In this case, we'll have a washer lying on the ground. The hole in the center has a radius that goes from the line x=0 to the line y = x^3.
Homework Statement Find the volume generated by rotating the given region about the specified line The region, R2, is y = x^1/2 (y = sqrt(x) ) The line... I've been doing a group of problems concerning the same 3 regions divided by the same 2 functions rotated about the same lines.
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We need to make our slices perpendicular to the axis of rotation in order to use the washer method. This suggests keeping everything as functions of x . To find where the two curves intersect, we need to solve: √ x - x = 0 or √ x = x. by the given curves is rotated about the specified line.
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Calculus Applications of Definite Integrals Determining the Volume of a Solid of Revolution.a) Region 1 is between x=1 and x = 0. Whe're going to be rotating the volume about a vertical line, which is x=0. What we want to do is to create one washer. In this case, we'll have a washer lying on the ground. The hole in the center has a radius that goes from the line x=0 to the line y = x^3.
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Dec 11, 2011 · Refer to the figure and find the volume V generated by rotating the given region about the specified line. a=3 b=5 R1 about OC here is the link to the graph.. http ... find submissions from "example.com". url:text. (4) For topics about which multiple videos have already been posted, new videos about the same topic should present new important information, new perspectives, and/or better video production quality.
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