Show that (u, v) = (7u+8, uv, 13u + v) parametrizes the plane 2x - y - z = 16. Then: (a) Calculate T₁, Tv, and n(u, v). (b) Find the area of S = (D), where D = (u, v): 0 ≤ u ≤ 4,0 ≤v ≤ 8. (c) Express f(x, y, z) = yz in terms of u and u and evaluate ff f(x, y, z) ds. (a) Tu , T, ‚n(u, v) = (b) Area(S): (c) ffs f(x, y, z) ds = |
Show that (u, v) = (7u+8, uv, 13u + v) parametrizes the plane 2x - y - z = 16. Then: (a) Calculate T₁, Tv, and n(u, v). (b) Find the area of S = (D), where D = (u, v): 0 ≤ u ≤ 4,0 ≤v ≤ 8. (c) Express f(x, y, z) = yz in terms of u and u and evaluate ff f(x, y, z) ds. (a) Tu , T, ‚n(u, v) = (b) Area(S): (c) ffs f(x, y, z) ds = |
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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If u solve all parts then solve otherwise leave it hanging.

Transcribed Image Text:Show that (u, v) = (7u+8, u - v, 13u + v) parametrizes the plane 2x - y -z = 16. Then:
(a) Calculate T₁, T₂, and n(u, v).
(b) Find the area of S = (D), where D = (u, v): 0 ≤u ≤ 4,0 ≤ v ≤ 8.
(c) Express f(x, y, z) = yz in terms of u and u and evaluate ff f(x, y, z) ds.
, T, =
‚n(u, v) =
(a) Tu
=
(b) Area (S)
(c) ffs f(x, y, z) ds =|
=
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