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. Let f (x, y, z) = y² + z². Compute ff f(x, y, z) do on the given surface in the figure. 3 S = {0≤x≤3, y² + z² = 4, y ≥ 0} Step 1: Parametric representation of Σ. Step 2: Compute (x дт(х,ф) × (x) дф Step 3: ſſ ƒ (x, y, z)do = ſſ (y² (x, $) + z² (x,¢)) |ǝF‍(x,¢)¸ðF(x, 0)| dxdo дх дф

. Let f (x, y, z) = y² + z². Compute ff f(x, y, z) do on the given surface in the figure. 3 S = {0≤x≤3, y² + z² = 4, y ≥ 0} Step 1: Parametric representation of Σ. Step 2: Compute (x дт(х,ф) × (x) дф Step 3: ſſ ƒ (x, y, z)do = ſſ (y² (x, $) + z² (x,¢)) |ǝF‍(x,¢)¸ðF(x, 0)| dxdo дх дф

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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. Let f (x, y, z) = y² + z². Compute ff f(x, y, z) do on the given surface in the figure. 3 S = {0≤x≤3, y² + z² = 4, y ≥ 0} Step 1: Parametric representation of Σ. Step 2: Compute (x дт(х,ф) × (x) дф Step 3: ſſ ƒ (x, y, z)do = ſſ (y² (x, $) + z² (x,¢)) |ǝF‍(x,¢)¸ðF(x, 0)| dxdo дх дф
Transcribed Image Text:. Let f (x, y, z) = y² + z². Compute ff f(x, y, z) do on the given surface in the figure. 3 S = {0≤x≤3, y² + z² = 4, y ≥ 0} Step 1: Parametric representation of Σ. Step 2: Compute (x дт(х,ф) × (x) дф Step 3: ſſ ƒ (x, y, z)do = ſſ (y² (x, $) + z² (x,¢)) |ǝF‍(x,¢)¸ðF(x, 0)| dxdo дх дф
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