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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 = |

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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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 =| =
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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