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

(3) Another triangle of stars (the user supplies the height) wN RN eM (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) 3-3 x 2 x 16 41.. 4 x 3 x 2 x 1 = 24 51.. 5 x 4 x 3 x 2 x 1 = 120