2xy + 15. h(x, y) = lný x2 + y2, (3, 4, In 5) Ιπ π 3) ππ

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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Question
Find an equation of the tangent plane to the surface at the given point. Number 15.
(2, 1, 8)
2
6
4
-y
4
6
11. z = √√x² + y², (3, 4, 5) 12. g(x, y) = a
13. g(x, y) = x² + y², (1,-1,2)
14. f(x, y) = x² - 2xy + y²,
15. h(x, y) = In√√x² + y2,
16. f(x, y) = sin x cos y,
(1, 2, 1)
(3, 4, In 5)
ππ 3
3' 6' 4
2
Transcribed Image Text:(2, 1, 8) 2 6 4 -y 4 6 11. z = √√x² + y², (3, 4, 5) 12. g(x, y) = a 13. g(x, y) = x² + y², (1,-1,2) 14. f(x, y) = x² - 2xy + y², 15. h(x, y) = In√√x² + y2, 16. f(x, y) = sin x cos y, (1, 2, 1) (3, 4, In 5) ππ 3 3' 6' 4 2
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