4 9 [ ] and [ ] are eigenvectors of the matrix [ 43 130 1 2 ' 10 42 4 What is the eigenvalue corresponding to [ 1 ]? 9 What is the eigenvalue corresponding to [ 2 ]? The velocity field of a certain fluid is: v(a:, y, z) = (4 moos(z) meg 005(9), ycos(z), ez cos(y)) The surface S is the portion of 3:2 + 92 + 22 : 1 for which a: > 0, oriented away from the origin. The flux of the fluid across 5 is: ' ' (Suggestion: Use the Divergence Theorem. Note that the surface S is not closed.) The foruth degree MacLaurin polynomial for the solution to this IVP: "' + 4xy' + 3y = 0 with initial conditions: y(0) = 3, y'(0) = 2 is: PA(a) =The velocity field of a fluid is given by: v(x, y, z) = (1, y sin z, cos z) The surface S is the part of the cone (x - 6) = 92 + 422 where 0