Find a potential function f for the field F. 7y j+ y² +z? 7z 21 F = (In x+ sec(10x + 10y)) i+ sec (10x+ 10y) +- y +z? k

O Consider the following function 5z2 – 4z + 3 f (z) = (z +1) (z + 2) (z + 3)' Find the residue at each pole of f (z). Find of (z) dz, where C: |2| = 5

dx ~∞ (x²+4)² 8 4) Using the Residue Theorem, show that S I 16

Find curl F and div F for the following F=(2y-cos(x)) i -z²e3*j+(x²-7z) k