Symbolic curl in different coordinate systems. (a) Applying symbolic programming in...

Symbolic curl in different coordinate systems. (a) Applying symbolic programming in MATLAB, write a function curlCar() that takes as input symbolic expressions for fx(x,y,z), fy(x,y,z), and fz(x,y,z) representing the x-, y-, and z-components,

respectively, of a vector function in the Cartesian coordinate system and returns a symbolic expression for the curl of the function, obtained based on Eq.(4.20). Repeat (a) but for (b) a function curlCyl() that returns the symbolic curl in the cylindrical coordinate system, based on Eq.(4.22), and (c) the curl in spherical coordinates [function curlSph()], using Eq.(4.23). (curlCar.m, curl- Cyl.m, and curlSph.m on IR)