Let S = Þ (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.)
Let S = Þ (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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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16.4 #2
![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
√6 n
2
(3)
(3x − 3y) dS =
Incorrect
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25589fa-5419-4615-a98c-c838d88c4e7f%2F1c56e354-9c51-460f-ac98-482e4cd1fcdb%2Fctbib65_processed.png&w=3840&q=75)
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
√6 n
2
(3)
(3x − 3y) dS =
Incorrect
3
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