Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² + y² that lies below z = 1, oriented by upward normal vectors. Determine the flux of the curl of I across S3.
Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² + y² that lies below z = 1, oriented by upward normal vectors. Determine the flux of the curl of I across S3.
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![Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid
z = x² + y² that lies below z = 1, oriented by upward normal vectors. Determine the flux
of the curl of A across S3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ded81d5-d2cb-4617-b2d0-9d382af52060%2F181eef9c-55af-476b-bbd9-69c1a96c1215%2Fmk7cd4c_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid
z = x² + y² that lies below z = 1, oriented by upward normal vectors. Determine the flux
of the curl of A across S3.
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