Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find
the flux of F across S, the part of the paraboloid x2 + y2 + z = 29
that lies above the plane z = 4 and is oriented upward.
Find the flux of the vector field F = (3x + 1, 2xe^z , 3y^2 z +
z^3 ) across the outward oriented faces of a cube without the front
face at x = 2 and with vertices at (0,0,0), (2,0,0), (0,2,0) and
(0,0,2).
Using Newton-Raphson method, find the complex root of the
function f(z) = z 2 + z + 1 with with an accuracy of 10–6. Let z0 =
1 − i. write program c++ or matlab