Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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#16 please

Tangent Lines to Intersecting Surfaces In Exercises 15-20, find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. 15. Surfaces: x + y² + 2z = 4, x = 1 Point: (1, 1, 1) 16. Surfaces: xyz = 1, x² + 2y² + 3z² = 6 Point: (1, 1, 1) 17. Surfaces: x² + 2y + 2z = 4, y = 1 Point: (1, 1, 1/2) 18. Surfaces: x + y² + z = 2, y = 1 Point: (1/2, 1, 1/2) 19. Surfaces: x³ + 3x²y² + y² + 4xy z² = 0, dy) nearby, x² + y² + z² = 11 — Point: (1, 1, 3) 20. Surfaces: x² + y² = 4, x² + y² - z = 0 Point: (√2, √2, 4)
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Transcribed Image Text:Tangent Lines to Intersecting Surfaces In Exercises 15-20, find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. 15. Surfaces: x + y² + 2z = 4, x = 1 Point: (1, 1, 1) 16. Surfaces: xyz = 1, x² + 2y² + 3z² = 6 Point: (1, 1, 1) 17. Surfaces: x² + 2y + 2z = 4, y = 1 Point: (1, 1, 1/2) 18. Surfaces: x + y² + z = 2, y = 1 Point: (1/2, 1, 1/2) 19. Surfaces: x³ + 3x²y² + y² + 4xy z² = 0, dy) nearby, x² + y² + z² = 11 — Point: (1, 1, 3) 20. Surfaces: x² + y² = 4, x² + y² - z = 0 Point: (√2, √2, 4)
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