3. Using the disk/washer method, write the volume of the solid obtained by rotating the region enclosed by y=Vx, x=4, and y 0, about the horizontal line y = 3 as a definite integral. Follow the steps: a) Draw a clear picture of the region (shape, intersection points, etc) that is rotated about the y = 3, draw the resulting solid and an intermediate disk/washer. b) Find the volume of an intermediate disk/washer. Make sure you specify the radius/radii of the disk/washer in terms of the points on the subdivision created and the thickness! V, = c) Write the volume of the solid as a Riemann sum and the definite integral that represents the volume of the solid. V =
3. Using the disk/washer method, write the volume of the solid obtained by rotating the region enclosed by y=Vx, x=4, and y 0, about the horizontal line y = 3 as a definite integral. Follow the steps: a) Draw a clear picture of the region (shape, intersection points, etc) that is rotated about the y = 3, draw the resulting solid and an intermediate disk/washer. b) Find the volume of an intermediate disk/washer. Make sure you specify the radius/radii of the disk/washer in terms of the points on the subdivision created and the thickness! V, = c) Write the volume of the solid as a Riemann sum and the definite integral that represents the volume of the solid. V =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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