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.) area(S) = √6 27 (b) Evaluate (3x − 3y) dS. Hint: Use polar coordinates.
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.) area(S) = √6 27 (b) Evaluate (3x − 3y) dS. Hint: Use polar coordinates.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
Related questions
Question
![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.)
area(S) =
Is
√6
2
(b) Evaluate
(3x – 3y) ds.
Hint: Use polar coordinates.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
π
Incorrect
(3x - 3y) ds =
√6 (8+3π)
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77548912-c51c-4c9d-8b51-f3905a3bec75%2Ffc4a5d8a-76be-43be-8188-58c4839c6ba8%2Fmxowauh_processed.png&w=3840&q=75)
Transcribed Image Text: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.)
area(S) =
Is
√6
2
(b) Evaluate
(3x – 3y) ds.
Hint: Use polar coordinates.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
π
Incorrect
(3x - 3y) ds =
√6 (8+3π)
12
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage