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1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² 9 a) The upper part of the ellipse + (y-3)² 4 = 1; the lower part of the ellipse (x-4)² 9 (y-1)² + 4 = 1

1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² 9 a) The upper part of the ellipse + (y-3)² 4 = 1; the lower part of the ellipse (x-4)² 9 (y-1)² + 4 = 1

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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show full and complete procedure HANDWRITTEN only, please answer a) b) and c). Note they are subparts of one same question 

1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² (y-3)² a) The upper part of the ellipse + 9 4 1 b) z = 4 — x² – ²y²; z = 0 c) z = xey; y = x² ; x = 0; y = 4 = 1; the lower part of the ellipse -4)² (y-1)² + 9 4 =1
Transcribed Image Text:1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² (y-3)² a) The upper part of the ellipse + 9 4 1 b) z = 4 — x² – ²y²; z = 0 c) z = xey; y = x² ; x = 0; y = 4 = 1; the lower part of the ellipse -4)² (y-1)² + 9 4 =1
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