Write C++ programs to produce the output described in each of the following problems.

(2) Another triangle of stars (the user supplies the height) EN (3) Another triangle of stars (the user supplies the height) E H ERN (4) A double rectangle of stars (the user supplies height and width) (5) A table of powers of 2 (user upplies the number) 2 to the power 0 is 1 2 to the power 1 is 2 2 to the power 2 is 4 2 to the power 3 is 8 (6) A table of factorials (user supplies the number) 21=2x1=2 31.. 3 x 2 x 1 6 4! = 4 x 3 x 2 x 1 = 24 5! = 5 x 4 x 3 x 2 x 1 = 120