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Problem #1. Solve the following recurrence exactly.                         9n^2 - 15n + 106        &nbs

Problem #1.

Solve the following recurrence exactly.

                        9n^2 - 15n + 106                    if n = 0, 1 or 2

            t(n)=

                        t(n-1) + 2t(n-2) - 2t(n-3)         otherwise

Problem #2.

Solve the following recurrence exactly.

                        n                                              if n = 0, 1 2, or 3

            t(n)=

                        t(n-1) + t(n-3) - t(n-4)             otherwise

Problem #3.

Solve the following recurrence exactly.

                        n + 1                                       if n = 0, or 1

            t(n)=

                        3t(n-1) - 2t(n-2) + 3.2(n-2)        otherwise

Problem #4.

Solve the following recurrence exactly for n a power of 2.

                        1                      if n = 1

            T(n)=

                        4T(n/2) + n     otherwise

Problem #5.

Solve the following recurrence exactly for n a power of 2.

                        1                                 if n = 1

            T(n)=

                        2T(n/2) + log n           otherwise

Math   Advanced-Math   
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