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1. Find the volume under each surface and over the region bounded by the functions a) 2x + y + z = 6; x = 0; y = 0; z = 0, in the first octant b) z = 4-y²; x = 3; x = 0; y = 0; z = 0, in the first octant c) z = 1 + x² + y²; 3x + y = 3; x = 0; y = 0; z = 0, in the first octant

1. Find the volume under each surface and over the region bounded by the functions a) 2x + y + z = 6; x = 0; y = 0; z = 0, in the first octant b) z = 4-y²; x = 3; x = 0; y = 0; z = 0, in the first octant c) z = 1 + x² + y²; 3x + y = 3; x = 0; y = 0; z = 0, in the first octant

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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show full and complete procedure HANDWRITTEN only. Please answer a) b) and c) as they are subparts of one same question. 

1. Find the volume under each surface and over the region bounded by the functions a) 2x + y + z = 6; x = 0; y = 0; z = 0, in the first octant b) z = 4-y²; x = 3; x = 0; y = 0; z = 0, in the first octant c) z = 1 + x² + y²; 3x + y = 3; x = 0; y = 0; z = 0, in the first octant
Transcribed Image Text:1. Find the volume under each surface and over the region bounded by the functions a) 2x + y + z = 6; x = 0; y = 0; z = 0, in the first octant b) z = 4-y²; x = 3; x = 0; y = 0; z = 0, in the first octant c) z = 1 + x² + y²; 3x + y = 3; x = 0; y = 0; z = 0, in the first octant
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