. 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
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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
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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