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1. Find a parametric representation for the surface a) The plane through the origin that contains the vectors i- j and j - k b) The part of the hyperboloid 4x² - 4y² — z² = 4 that lies in front of the yz - plane c) The part of the sphere x² + y² + z² = 4 that lies above the cone z = √x² + y²

1. Find a parametric representation for the surface a) The plane through the origin that contains the vectors i- j and j - k b) The part of the hyperboloid 4x² - 4y² — z² = 4 that lies in front of the yz - plane c) The part of the sphere x² + y² + z² = 4 that lies above the cone z = √x² + y²

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 parts a), b) & c) as they are subparts of the same question 

1. Find a parametric representation for the surface a) The plane through the origin that contains the vectors i – j and j –k - b) The part of the hyperboloid 4x² - 4y² - z² = 4 that lies in front of the yz - plane c) The part of the sphere x² + y² + z² = 4 that lies above the cone z = √x² + y²
Transcribed Image Text:1. Find a parametric representation for the surface a) The plane through the origin that contains the vectors i – j and j –k - b) The part of the hyperboloid 4x² - 4y² - z² = 4 that lies in front of the yz - plane c) The part of the sphere x² + y² + z² = 4 that lies above the cone z = √x² + y²
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