Use Stokes theorem to write a line integral that is equal to the surface integral curl F where F(z,, 2) = (-y- 52, dz + 3a, 3r- Sy) Sis the portion of the paraboloid z 25- -y² above the ayplane. and its boundary Cis directed counterclockwise when viewed from the first octant. pint parameterize C by the angle when 20) Provide your answer below

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Chapter2: Second-order Linear Odes
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Use Stokes' theorem to write a line integral that is equal to the surface integral
curlF. dS. where
F(x, y, z) = (-y – 5z, 4x + 3z, 3r – 5y). S is the portion of the paraboloid z = 25 – 22 – y? above the æy-plane,
and its boundary C is directed counterclockwise when viewed from the first octant. (Hint: parameterize C by the angle 0,
when 0 > 0.)
Provide your answer below:
de
Transcribed Image Text:Use Stokes' theorem to write a line integral that is equal to the surface integral curlF. dS. where F(x, y, z) = (-y – 5z, 4x + 3z, 3r – 5y). S is the portion of the paraboloid z = 25 – 22 – y? above the æy-plane, and its boundary C is directed counterclockwise when viewed from the first octant. (Hint: parameterize C by the angle 0, when 0 > 0.) Provide your answer below: de
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