Problem 1E Problem 2E: Use Stokes Theorem to evaluate s curl F dS. 2. F(x, y, z) = x2sin z i + y2 j + xy k. S is the part... Problem 3E: Use Stokes Theorem to evaluate s curl F dS. 3. F(x, y, z) = zey i + x cos y j + xz sin y k, S is... Problem 4E: Use Stokes Theorem to evaluate s curl F dS. 4. F(x, y, z) = tan-1(x2yz2) i + x2y j + x2z2 k. S is... Problem 5E: F(x, y, z) = xyz i + xy j + x2yz k. S consists of the top and the four sides (but not the bottom) of... Problem 6E: F(x,y,z)=exyi+exzj+x2zk S is the half of the ellipsoid 4x2+y2+4z2=4 that lies to the right of the... Problem 7E: Use Stokes Theorem to evaluate c F dr. In each case C is oriented counterclockwise as viewed from... Problem 8E: Use Stokes Theorem to evaluate c F dr. In each case C is oriented counterclockwise as viewed from... Problem 9E: Use Stokes' Theorem to evaluate CFdr . In each case C is oriented counterclockwise as viewed from... Problem 10E: Use Stokes Theorem to evaluate c F dr. In each Case C is oriented counterclockwise as viewed from... Problem 11E: F(x,y,z)=yx2,xy2,exy,C is the circle in the xy-plane of radius 2 centered at the origin Problem 12E: F(x,y,z)=zexi+zy3j+xz3k C is the circle y2+z2=4,x=3 , oriented clockwise as viewed from the origin Problem 13E: F(x,y,z)=x2yi+x3j+eztan1zk C is the curve with parametric equations x=cost,y=sint , z=sint,0t2 Problem 14E: F(x,y,z)=x3z,xy,y+z2,C is the curve of intersection of the paraboloid z=x2+y2 and the plane z=x Problem 15E: (a) Use Stokes Theorem to evaluate c F dr, where F(x, y, z) = x2z i + xy2 j + z2 k and C is the... Problem 16E: (a) Use Stokes Theorem to evaluate c F dr, where F(x,y,z)=x2yi+13x3j+xykand C is the curve of... Problem 17E: Verify that Stokes Theorem is true for the given vector field F and surface S. 13. F(x, y, z) = -y i... Problem 18E: Verify that Stokes Theorem is true for the given vector field F and surface S. 14. F(x, y, z) = -2yz... Problem 19E: Verify that Stokes Theorem is true for the given vector field F and surface S. 15. F(x, y, z) = y i... Problem 20E Problem 21E: A particle moves along line segments from the origin to the points (1, 0, 0), (1, 2, 1), (0, 2, 1),... Problem 22E: Evaluate c (y + sin x) dx + (z2 + cos y) dy + x3 dz where C is the curve r(t) = (sin t, cos t, sin... Problem 23E: If S is a sphere and F satisfies the hypotheses of Stokes Theorem, show that s curl F dS = 0. Problem 24E: Suppose S and C satisfy the hypotheses of Stokes Theorem and f, g have continuous second-order... format_list_bulleted