An auxotroph for tryptophan, with the genotype trpE, trpD1, trpC, trpB, trpA, spontaneously became a prototroph, with the genotype trpE, trpD, trpC, trpB, trpA? Is this mutant a true revertant or second site revertant? Why?

Q47;

Show that the tree height of a height-balanced binary search tree with n nodes is O(log n). (Hint: Let T(h) denote the fewest number of nodes that a height-balanced binary search tree of height h can have. Express T(h) in terms of T(h-1) and T(h-2). Then, find a lower bound of T(h) in terms of T(h-2). Finally, express the lower bound of T(h) in terms of h.)

Q48;

Express The Vector P1P2 Rightarrow In The Form V = V1 I + V2 J + V3 K If P1 Is The Point (9,3, - 1) And P2 Is The Point ( - 3, - 1, - 5). (Simplify Your Answers.) Express The Vector In The Form V = V1i+ V2j + V3k. AB Rightarrow If A Is The Point ( - 5,5,4) And B Is The Point (- 4, - 5,4) Choose The Correct Answer Below. Express The Vector - 6i + 6j-7k As A