EXERCISE 5 (2 pts.) cleariclc A ones (4,4) for m 1:3 a2*m; A (m,m+1)a-b for n...
Exercise 3. [10 pts Let n 2 1 be an integer. Prove that there exists an integer k 2 1 and a sequence of positive integers al , a2, . . . , ak such that ai+1 2 + ai for all i-1, 2, . . . , k-1 and The numbers Fo 0, F1 1, F2 1, F3 2 etc. are the Fibonacci numbers
Draw the following structures: 1. N-methyl-1-propanamine 2. N,N-dimethylmethanamine 3. 4,4-dibromohexano ic acid 4. 2-methylpentanoic acid 5. 2-chloroethanoic acid 6. Methyl methanoate 7. Ethyl benzoate 8. Pentyl butanoate 9. Aniline 10. Methanoic acid 11. N-ethyl-3-hexanamine
3. (6 pts) A sequence A = [a1, a2, . . . , anjis called a valley sequence if there is an index i with 1 < t < n such that al > a2 > . . . > ai and ai < ai+1 < . . . < an. A valley sequence must contain at least three elements. (a) (2 pts) Given a valley sequence A of length n, describe an algorithm that finds the element a, as...
5. Predict the eliminations products A and B formed (E-1 mechanism) when 4,4-dimethylhexan- 3-ol is heated with concentrated phosphoric acid. Also, identify the rate determining step and the major product using Zaitsev's Rule? (Mechanism must be shown to receive full points) (20 pts) ОН conc. H2PO4 Products A and B CH3 H₃C X E-1 condition H3C CH3 4,4-dimethylhexan-3-ol
5. Predict the eliminations products A and B formed (E-1 mechanism) when 4,4-dimethylhexan- 3-ol is heated with concentrated phosphoric acid. Also, identify the rate determining step and the major product using Zaitsev's Rule? (Mechanism must be shown to receive full points). (20 pts) Он conc. H3PO4 Products A and B .CH3 Нас H3C CH3 E-l condition 4,4-dimethylhexan-3-ol
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5. Predict the eliminations products A and B formed (E-1 mechanism) when 4,4-dimethylhexan- 3-ol is heated with concentrated phosphoric acid. Also, identify the rate determining step and the major product using Zaitsey's Rule? (Mechanism must be shown to receive full points). (20 pts) он conc. H3PO4 - CH₂ Products A and B H₃C X E-l condition HzC CH3 4,4-dimethylhexan-3-ol
Question 2 7 pts Theorem If A1, A2, .., A, are sets for n > 2, then (A, UA, U... A.) = (A) n(A)n... n(A) Upload Choose a File Question 3 6 pts o el DLL
3. [5 pts] Suppose A and A2 are disjoint. Prove that
5. Predict the eliminations products A and B formed (El mechanism) when 4,4-dimethylhexan 3-ol is heated with concentrated phosphoric acid. Also, identify the rate determining step and the major product using Zaitsev's Rule? (Mechanism must be shown to receive full points) (20 pts) ОН conc. H3PO4 CH3 Products A and B H₂CX HAC CH3 E-l condition 4,4-dimethylhexan-3-ol
5. Predict the eliminations products A and B formed (El mechanism) when 4,4-dimethylhexan 3-ol is heated with concentrated phosphoric acid. Also, identify the rate determining step and the major product using Zaitsev's Rule? (Mechanism must be shown to receive full points) (20 pts) ОН conc. H3PO4 Products A and B CH3 H₂CX HAC CH3 E-l condition 4,4-dimethylhexan-3-ol