1. Let the (scalar) function f (x,y,z) in 3 variables, x, y, z, be defined by f ( 2 , y, 2) - x text x yz Find the following: Partial derivatives of f with respect to x, y, z, gradient gradf of and directional derivative of f along the direction given by (i) In general (ii) In particular, at the location (x, y,z)= (1, 0, -1) 2. Let the 3x3 vector function (field) F in 3 variables, x, y, z be defined by F(a,yz)= (2 2 My+52, xty"+zz, exter+sinz) Find the following: Total Derivative DF, Jacobian JF, Divergence DivF and Curl CurlF of F