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4. [3 marks] For each of the following recurrence relations, explain which case of the Master Theorem applies, then use the Master Theorem to find

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4. [3 marks] For each of the following recurrence relations, explain which case of the Master Theorem applies, then use the Master Theorem to find a function g(n) such that T(n) (g(n)) (a) T(n)={1,4T(16n)+5n2/3,n15n>15 (b) T(n)={1,30T(3n)+4n3n,n2n>2 (c) T(n)={1,6T(6n)+15n,n5n>5

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