Let S = O (D), where D = {(u, v): ² + ² ≤ 9,u ≥ 0, v≥ 0} and ℗ (u, v) = (2u + 1, u − v, 3u + (a) Calculate the surface area of S. (Express numbers in exact form. Use symbolic notation and fractions where needed.) area (S) = Incorrect 9√/6T 2 (b) Evaluate (4x – 4y) dS. Hint: Use polar coordinates. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Let S = O (D), where D = {(u, v): ² + ² ≤ 9,u ≥ 0, v≥ 0} and ℗ (u, v) = (2u + 1, u − v, 3u + (a) Calculate the surface area of S. (Express numbers in exact form. Use symbolic notation and fractions where needed.) area (S) = Incorrect 9√/6T 2 (b) Evaluate (4x – 4y) dS. Hint: Use polar coordinates. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
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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![Let S = 0 (D), where D = {(u, v): u²+ v² ≤ 9,u ≥ 0, v ≥ 0} and ℗ (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) =
Incorrect
9√6T
2
(b) Evaluate
(4x – 4y) dS.
Hint: Use polar coordinates.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
(4x - 4y) dS
-
18√618+]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14118f8a-0f0d-497d-b876-8c7497ab7e30%2F91dc3725-a3da-4dc0-bbef-218b093aabfe%2Fsbev7md_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let S = 0 (D), where D = {(u, v): u²+ v² ≤ 9,u ≥ 0, v ≥ 0} and ℗ (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) =
Incorrect
9√6T
2
(b) Evaluate
(4x – 4y) dS.
Hint: Use polar coordinates.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
(4x - 4y) dS
-
18√618+]
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