Problem 9.3 (f),(k),(l) only

Problem 9.3. Compute formulas that do not contain a sum for the following: (a) i=1nj=1m(i+j) (d) i=1nj=1i(i+j)2 (g) i=0nj=0i2i+j (j) i=0nj=0i2i (b) i=1nj=1i(i+j) (e) i=0nj=0m2i+j (h) i=0nj=in(i+j) (k) i=0nj=0ii2j (c) i=0nj=0n(2i+2j)2 (f) i=0nj=0i(2i+2j)2 (i) i=0nj=0i(2j+i)2 (I) i=1nj=1nln(ij) Problem 8.27. Define size and height (see Exercise 8.10) for rooted ternery trees (RTT) and rooted trees (RT). (a) Prove: For any rooted ternary tree (RTT) T, size (T)(3height(T)+11)/3. Find such a bound for the size of a rooted tree (RT) in terms of its height or explain why there isn't one