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Question 4 Let S be the upper half of the unit sphere 2? + y2 + x2 = 1 and take n as the upper unit normal. Use Stoke's theorem to find xv). n do given that v(x, y, z) = 3 yi - 43j+3zk. a) O 77 b) O 77 2 c) O-217 d) O-141 e) -77
(Abstract Algebra) Please answer a-d clearly. Show your work and explain your answer. (a) Let G be a group of order 4 with identity e. Show that G is either cyclic or a2-e for all (b) Does the result of part (a) generalize to groups of order p2 for any positive integer p? In other words, is it the case that if G is a group of order p2 with identity e, then is either cyclic or a- e for...
Table 20.1 Half Reaction E°(V). F2 (g) + 2e →2F (aq) +2.87 Cl2 (g) + 2e → 2CV (aq) +1.359 Br2 (1) + 2e → 2Br (aq) +1.065 O2 (g) + 4H+ (aq) + 4e → 2H20 (1)+1.23 Agt te → Ag (s) +0.799 Fe3+ (aq) + € → Fe2+ (aq) +0.771 12 (s) + 2e → 21+ (aq) +0.536 Cu2+ + 2e → Cu(s) +0.34 2H+ + 2e → H2 (g) Pb2+ + 2e → Pb (s) -0.126 Ni2+...
4. Let G be the Galois group of a finite field extension E of F. Let H and H, be subgroups of G, and let Ki and K2 be intermediate fields between F and E. For any o EG, prove that K2 = OK if and only if H2 = oHo-1,
Please prove C D E F in details? 'C. Let G be a group that is DOE smDe Follow the steps indicated below; make sure to justify all an Assuming that G is simple (hence it has no proper normal subgroups), proceed as fo of order 90, The purpose of this exercise is to show, by way of contradiction. How many Sylow 3sukgroups does G have? How many Sylow 5-subgroups does G ht lain why the intersection of any two...
please explain your solution with details. 7) Let f and g be differentiable functions such that 2< f(x)<4 and 2 s g(x)< 4 for all x. a) Find good upper and lower bounds on the arc O to x 4.(5 pts) length of the graph of f(x) from x= Ax,2 494, ANS L4 . Are Cang th Say tnt 1 + We can b) Can we find a good lower bound on the length of g(x) from x 0 to...
Let G be the following grammar: 1. S T 2. T O 3. T T 4. O V = E i [ E ] 5. V i 6. V i 7. E ( E) 8. E Construct the LR(0) DFA for this grammar a) b) Construct the LR(0) parsing table. Is it LR(o)? Why and why not? Let G be the following grammar: 1. S T 2. T O 3. T T 4. O V = E i [ E...
te G Which of the follo... True O False Question 13 4 pts A change in the money supply or a change in velocity will change aggregate demand, which causes the aggregate demand curve to shift. O True O False Question 7 4 pts Suppose the economy is at below full employment. To improve this situation, Keynesian economists might propose that the government should expenditures, which will cause the aggregate demand curve to shift to the in an attempt to...
Please answer this question prefer typing if it possible. " Let G = (V,E) be a directed weighted graph such that all the weights are positive. Let v and w be two vertices in G and k ≤ |V | be an integer. Design an algorithm to find the shortest path from v to w that contains exactly k edges. Note that the path need not be simple."