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4. Find the volume of the solid whose base is the region enclosed between the curve x = 1-y² and the y-axis and whose cross sections taken perpendicular to the y-axis are squares.

4. Find the volume of the solid whose base is the region enclosed between the curve x = 1-y² and the y-axis and whose cross sections taken perpendicular to the y-axis are squares.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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2. Find the volume of the solid whose base is the region bounded between the curve y=x² and the x-axis from x=0 to x=2 and whose cross sections taken perpendicular to the x-axis are squares. 3. Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. (a) y=x²₂y=x² (b) y=√25-x²y = 3 4. Find the volume of the solid whose base is the region enclosed between the curve x=1-y² and the y-axis and whose cross sections taken perpendicular to the y-axis are squares. 5. Find the volume of the solid that results when the region enclosed by the given curves is revolved about the y-axis. (a) y=x²-1, x=2, v=0 (b) y = ln x. x = 0, y = 0, y = 1 Download Open in Reading Vier ▸
Transcribed Image Text:2. Find the volume of the solid whose base is the region bounded between the curve y=x² and the x-axis from x=0 to x=2 and whose cross sections taken perpendicular to the x-axis are squares. 3. Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. (a) y=x²₂y=x² (b) y=√25-x²y = 3 4. Find the volume of the solid whose base is the region enclosed between the curve x=1-y² and the y-axis and whose cross sections taken perpendicular to the y-axis are squares. 5. Find the volume of the solid that results when the region enclosed by the given curves is revolved about the y-axis. (a) y=x²-1, x=2, v=0 (b) y = ln x. x = 0, y = 0, y = 1 Download Open in Reading Vier ▸
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