11) Evaluate f. F. dS, where F(x, y, z) = (2xy, 3, (1 y))...

Transcribed Image Text:

11) Evaluate f. F. dS, where F(x, y, z) = (2xy², — ³3, ²(1 − y²)) and the surface S consists of the paraboloid z = 4 − 3x² − 3y² on 1 ≤ z ≤ 4, the cylinder x² + y² = 1 on 0 ≤ z ≤ 1, and - z = 0 within the cylinder. Hint: Avoid solving three surface integrals. 11) Evaluate f. F. dS, where F(x, y, z) = (2xy², — ³3, ²(1 − y²)) and the surface S consists of the paraboloid z = 4 − 3x² − 3y² on 1 ≤ z ≤ 4, the cylinder x² + y² = 1 on 0 ≤ z ≤ 1, and - z = 0 within the cylinder. Hint: Avoid solving three surface integrals.

Answer rating: 100% (QA)

Solution S Fds where FMiG13 Fas 2xy 42 16 3 Therefore the s... View the full answer