Answer Happy

Posted: **Wed Jul 13, 2022 5:07 am**

: If F Y2 Z2 X2 I Z2 X2 Y2 J X2 Y2 Z2 K Then Evaluate F N Da Integrated Over The Portion Of The Surface X2 Y 1 (27.93 KiB) Viewed 24 times

If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y2−4x+2y= 0 above the plane z=0 and verify the Stroke's Theorem. n is the unit vector normal to the surface.

Answer Happy

If F​=(y2+z2−x2)i​+(z2+x2−y2)j​+(x2+y2−z2)k​, then evaluate, ∬∇​×F​⋅n​dA integrated over the portion of the surface x2+y

If F​=(y2+z2−x2)i​+(z2+x2−y2)j​+(x2+y2−z2)k​, then evaluate, ∬∇​×F​⋅n​dA integrated over the portion of the surface x2+y

If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y

If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y