Let S = Þ (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u+1, uv, 3u + v). (a) Calculate the surface area of S. (Express numbers in exact form. Use symbolic notation and fractions where needed.) area (S) = (b) Evaluate f(3x – 3y) dS. Hint: Use polar coordinates. (Express numbers in exact form. Use symbolic notation and fractions where needed.) Ils √6n 2 Incorrect (3x3y) dS= 1 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let S = (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u + 1, u – v, 3u + v).
(a) Calculate the surface area of S.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
area (S)
(b) Evaluate f (3x – 3y) dS.
Hint: Use polar coordinates.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
I
S
√6T
2
Incorrect
(3x - 3y)
(3x − 3y) dS =
1
3
Transcribed Image Text:Let S = (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u + 1, u – v, 3u + v). (a) Calculate the surface area of S. (Express numbers in exact form. Use symbolic notation and fractions where needed.) area (S) (b) Evaluate f (3x – 3y) dS. Hint: Use polar coordinates. (Express numbers in exact form. Use symbolic notation and fractions where needed.) I S √6T 2 Incorrect (3x - 3y) (3x − 3y) dS = 1 3
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