Cartesian to cylindrical and spherical coordinate conversions. (a) Write functions c...

Cartesian to cylindrical and spherical coordinate conversions. (a) Write functions _car2Cyl() and _car2Sph() in MATLAB that convert the coordinates of a point given in the Cartesian coordinate system to the coordinates in the associated cylindrical and spherical coordinate systems [Fig.1.18(a) and (b)], respectively. Assume that all lengths are expressed in meters, while the angles φ and θ should be expressed in radians. Check cases when some of the input data are zero. (b) Repeat (a) but for the conversions in the opposite direction, namely, write functions _cyl2Car() and _sph2Car() to convert cylindrical and spherical coordinates, respectively, to Cartesian coordinates of a point. (car2Cyl.m, car2Sph.m, cyl2Car.m, and sph2Car.m on IR)

Reference: Fig.1.18(a) and (b)