2. DETAILS 32л PREVIOUS ANSWERS Use the divergence theorem to compute the flux integral Press (fn) F to exit full screen - ds where is the outward po 7= (x³, 2xz², 3y²z) and S is the surface of the solid bounded by the paraboloid z = 4 - x² - y² and the xy-plane. field to the surface S. MY NOTES
2. DETAILS 32л PREVIOUS ANSWERS Use the divergence theorem to compute the flux integral Press (fn) F to exit full screen - ds where is the outward po 7= (x³, 2xz², 3y²z) and S is the surface of the solid bounded by the paraboloid z = 4 - x² - y² and the xy-plane. field to the surface S. MY NOTES
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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Use the divergence theorem to compute the flux integral F. ds where it is the outward po
S
7=(x³,2xz², 3y2z) and S is the surface of the solid bounded by the paraboloid z = 4 - x² - y² and the xy-plane.
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Use the extended divergence theorem to compute the total flux of the vector field
F(x, y, z) = (-3x² + 3xz-y, 3y³ - 6y, 9x² + 4z²-3x)
outward from the region F that lies inside the sphere x² + y² + z² = 25 and outside the solid cylinder x2 + y2 = 4 with top at z = 1 and bottom at z = -1.
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Press (fn) F to exit full screen
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Use Lemma 14 from Section 7.5 to compute the volume of the solid that lies below the paraboloid z = 16 - x² - y2 and above the plane z = 2.
98
I vector field to the surface S.
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Use the divergence theorem to compute the outward flux of the vector field F = (-x, y, z) through the surface of the part of the solid cylinder y² + z² = 9, that lies above the xy-plane, with 0 ≤ x ≤ 3.
0
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