Let S {(x1, x2, x3) € R³ | x3 = 5-x²-x², x3 ≥ 1}, a portion of a circular paraboloid. Endow S with the upward orientation (positive *3- component in a normal vector). Use Stokes' Theorem to compute fe du via a line integral, where w = x₂ cos(x3) dx₁ - ·x₁ sin(7x3) dx₂ + €²² ¹²³ dx3. Hand written plz

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let S {(x1, x2, x3) € R³ | x3 = 5-x²-x², x3 ≥ 1}, a portion of
a circular paraboloid. Endow S with the upward orientation (positive *3-
component in a normal vector). Use Stokes' Theorem to compute f du via
a line integral, where
w = x₂ cos(x3) dx₁
-
·x₁ sin(7x³) dx₂ + €²² ¹²³ dx3.
Hand written plz
Transcribed Image Text:Let S {(x1, x2, x3) € R³ | x3 = 5-x²-x², x3 ≥ 1}, a portion of a circular paraboloid. Endow S with the upward orientation (positive *3- component in a normal vector). Use Stokes' Theorem to compute f du via a line integral, where w = x₂ cos(x3) dx₁ - ·x₁ sin(7x³) dx₂ + €²² ¹²³ dx3. Hand written plz
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