Example: Determine the volume of the solid that bounded bythe parabolic cylinders y=x and x-y? and planes z-0 and-4-x-y.From the figure052 54-x-yFrom the project of the solid on x-y plane the boundary of the2-dimension region are:x²

Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and planes z=0 and z-4-x-y. From the figure 0≤z ≤4-x-y From the project of the solid on x-y plane the boundary of the 2-dimension region are: x² ≤ y ≤ √x 0≤x≤1

Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and planes z=0 and z-4-x-y. From the figure 0≤z ≤4-x-y From the project of the solid on x-y plane the boundary of the 2-dimension region are: x² ≤ y ≤ √x 0≤x≤1

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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Question

Example: Determine the volume of the solid that bounded by
the parabolic cylinders y=x and x-y? and planes z-0 and
-4-x-y.
From the figure
052 54-x-y
From the project of the solid on x-y plane the boundary of the
2-dimension region are:
x² <ys Vx

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