Show that we can prove that P(n, k) is true for all pairs of positive integers n and k if we show

a) P(1,1) is true and P(n. k)→ [P(n + 1. k) ˄ P(n. k + 1)] is true for all positive integers n and k.

b) P(1,k) is true for all positive integers k, and P(n. k) → P(n,k+1) is true for all positive integers n and k.

c) P(n, 1) is true for all positive integers n. and P(n. k) → P(n. k + 1) is true for all positive integers n and k.

Sunday, May 15, 2016 Animal Endocrine System Biology 162, Week 7 Lecture I. Experiment: What Causes Male-Typical Anatomy and Behavior in Roosters A. Normal cock (with both testes removed): had small combs and wattles, no interest in hens, a weak crow, and listless ﬁght behavior B. Castrated Cock (with one testes replaced): experienced normal comb and wattles, an interest in hens, a normal crow, and aggressive ﬁght behavior C. Conclusion: Testosterone is responsible for male physical characteristics, calling, mating, and running. II. Six Categories of Chemicals in Animals A. Autocrine Signals: act on the same cell that secretes it B. Paracrine Signals: diffuse locally and