Consider the surface S parametrized by Þ(u, v) = (u², v², √√2uv) where 0 ≤ u ≤ 2 and 0 ≤ v ≤ 2. Write your final answer in the format P = {x: n⋅ (x − x0) = 0} (1,1) (a) Find the surface area of S. (b) Find the tangent plane to -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Consider the surface S parametrized by Þ(u, v) = (u², v², √√2uv) where 0 ≤ u ≤ 2 and 0 ≤ v ≤ 2.
Write your final answer in the format P = {x: n⋅ (x − x0) = 0}
(1,1)
(a) Find the surface area of S.
(b) Find the tangent plane to
-
Transcribed Image Text:Consider the surface S parametrized by Þ(u, v) = (u², v², √√2uv) where 0 ≤ u ≤ 2 and 0 ≤ v ≤ 2. Write your final answer in the format P = {x: n⋅ (x − x0) = 0} (1,1) (a) Find the surface area of S. (b) Find the tangent plane to -
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