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Solve the following recurrence relations. For each case, show your work. (a) T(n)=T(n1)+cnifn>1,andT(1)=c, (b) T(n)=2T(n1)+1ifn>1,andT(1)=3, (c) T(n)=T(n/2)+3ifn>1,andT(1)=2, (d) T(n)=T(n1)+2n ifn>1,andT(1)=2, (e) T(n)=T(n)+1ifn>2,andT(n)=0otherwise.

Solve the following recurrence relations. For each case, show your work.

(a) T(n)=T(n1)+cnifn>1,andT(1)=c,

(b) T(n)=2T(n1)+1ifn>1,andT(1)=3,

(c) T(n)=T(n/2)+3ifn>1,andT(1)=2,

(d) T(n)=T(n1)+2n ifn>1,andT(1)=2,

(e) T(n)=T(n)+1ifn>2,andT(n)=0otherwise.

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