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9. Which of the integrals below represents the surface area of the parametric surface: x(u, v) = u cos(v), y(u, v) u sin(v), z(u, v) = v for 0 ≤ u≤ 1,0 ≤ v≤n? Hint: To get the answer in the form below requires a simple trigonometric substitution. a) π 4 sec ³ (0) de b) π tan³ (0) de c) π/2 sin³ (0)de π/2 d) πt ² cos³ (0) de e) None of the above

9. Which of the integrals below represents the surface area of the parametric surface: x(u, v) = u cos(v), y(u, v) u sin(v), z(u, v) = v for 0 ≤ u≤ 1,0 ≤ v≤n? Hint: To get the answer in the form below requires a simple trigonometric substitution. a) π 4 sec ³ (0) de b) π tan³ (0) de c) π/2 sin³ (0)de π/2 d) πt ² cos³ (0) de e) None of the above

Advanced Engineering Mathematics
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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Solve this Multi pule choice question correctly. Please provide correct option
9. Which of the integrals below represents the surface area of the parametric surface: y(u, v) usin(v), z(u, v) = v x(u, v) = u cos(v), for 0 ≤ u≤ 1,0 ≤ v≤n? Hint: To get the answer in the form below requires a simple trigonometric substitution. a) T 7/4 sec ³ (0) de b) π 1/4 tan³ (0) do c) π/² sin³ (0) de /2 d) π/² cos³ (0) de e) None of the above
Transcribed Image Text:9. Which of the integrals below represents the surface area of the parametric surface: y(u, v) usin(v), z(u, v) = v x(u, v) = u cos(v), for 0 ≤ u≤ 1,0 ≤ v≤n? Hint: To get the answer in the form below requires a simple trigonometric substitution. a) T 7/4 sec ³ (0) de b) π 1/4 tan³ (0) do c) π/² sin³ (0) de /2 d) π/² cos³ (0) de e) None of the above
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