1. Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3, and the parabolic cylinder z = 4-y².

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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C) Sketch the region of integration and write an equivalent double
integral with the order of integration reversed.
1.
Find the volume of the solid in the first octant bounded by the
coordinate planes, the plane x = 3, and the parabolic cylinder
z = 4 - y².
2.
Find the volume of the solid cut from the first octant by the
surface z = = 4x² - y.
Transcribed Image Text:C) Sketch the region of integration and write an equivalent double integral with the order of integration reversed. 1. Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3, and the parabolic cylinder z = 4 - y². 2. Find the volume of the solid cut from the first octant by the surface z = = 4x² - y.
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