$\"\"$

(a)

Conversion from rectangular coordinates to spherical coordinates :

The function is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in above equation. $\"\"$

The equation in cylindrical coordinates is $\"\"$ .

$\"\"$

(b)

Conversion from rectangular coordinates to spherical coordinates :

The equation is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in above equation. $\"\"$

The equation in cylindrical coordinates is $\"\"$ .

$\"\"$

(a) The equation in spherical coordinates is $\"\"$ .

(b) The equation in spherical coordinates is $\"\"$ .