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(Solved): Please help, I already asked and chegg gave the wrong answers. Please help with all three questions. ...



Please help, I already asked and chegg gave the wrong answers. Please help with all three questions. Thank you Without using Stokes' theorem, calculate directly both the flux of curl F*N over the given surface and the circulation integral around its boundary, assuming all boundaries have positive orientation. F(x,y,z)=y^(2)i+2xj+5k and S is the hemisphere z=(9-x^(2)-y^(2))^((1)/(2)) Flux = Circulation Integral = Use Stokes' theorem to evaluate ∬_(S)curlF*dS where F(x,y,z)=x^(2)zi+e^(xy)cos(z)j+xyk and S is the half sphere y=\sqrt(36-x^(2)-z^(2)), oriented out toward the positive y-axis. ∬_(S)curlF*dS= Use the Divergence Theorem to calculate the surface integral ∬_(S)F*dS, where F(x,y,z)=12\xi +4yj+4zk and S is the surface of the unit cube 0<=x<=1,0<=y<=1,0<=z<=1. For each closed surface, assume N is the outward unit normal vector. ∬_(S)F*dS=Use Stokes' theorem to evaluate ∬_(S)curlF*dS where F(x,y,z)=x^(2)zi+e^(xy)cos(z)j+xyk and S is the half sphere y=\sqrt(36-x^(2)-z^(2)), oriented out toward the positive y-axis. ∬_(S)curlF*dS= \table[[a^(b),(a)/(b)]] \sqrt(\bar (a) ) |a| \pi \pi Whout using Stokes' theorem, calculate drectly both the flux of curl F*N over the given surface and the circulation integral around is boundary, asouming al bourdaries have pasilive oriestation. F(x,y,z)=y^(2)i+2xj+5k and S is the hemisphere x-(9-x^(2)-y^(2))^((1)/(2)) Flux - Circulation Integral = Use Stokes' theorem to evaluate ∬_(S)curlF*dS where F(z,y,z)=x^(2)zi+e^(xy)cos(z)j+xyk and S is the hall sphere y-\sqrt(36-x^(2)-2^(2)), ariented out loward the posifive y-axis. ∬_(S)curlF*dS= Use the Divergence Theorem to calculate the surface integral ∬_(S)F*dS, where F(x,y,z)=12\xi +4yj+4zk and S is the surface of the unit cube 0<=x<=1,0<=y<=1,0<=z<=1. For each closed surface, asoume N is the outhord unit nomal vector ∬_(S)F*ds=


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