10. Consider functions f : R2 > R2 from the Euclidean plane to itself, given by the following rules of assignment. Which are idempotent? Justify your answer. If the functions depend on a parameter (9, oz, )3), then be clear how the answer depends on the parameter. (a) ($1,122) I> (2561, %$2) (e) ($1,122) I> (552,371) (b) (1131:1172) '> (011171: 5932) (f) ($1132) ._,, ($2, _$1) (0) ($1,932) '> (2931: 5332) (d) ($1,182) I> ($1 cos(9)a:2 sin(9),:c1 sin(0)+ (g) ($1132) 99'1\"\") 3I2 005(9)) (11) ($1,372) '> (0 0)