The base of a solid is the region between the curve, y²(p +x) = x²(3p – x),0 < x < 3p,y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the given curve, find the volume of the solid obtained.

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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In Q4 , p is the last non-zero digit of your student number
[If the Student number is 190469 then p = 9 ]

my Student number is 190469    then p = 9

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The base of a solid is the region between the curve,
y?(p + x) = x²(3p – x), 0 < x < 3p, y > 0 and the X – axis.
If the cross-sections perpendicular to the x-axis are equilateral triangles with bases
running from the x-axis to the given curve, find the volume of the solid obtained.
Transcribed Image Text:Q4 The base of a solid is the region between the curve, y?(p + x) = x²(3p – x), 0 < x < 3p, y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the given curve, find the volume of the solid obtained.
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