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jestigate whether the following series converge! of 1 log k ok log k' L K2 IM
Ok = (6) Let n be a positive integer. For every integer k, define the 2 x 2 matrix cos(27k/n) - sin(2nk/n) sin(2tk/n) cos(27 k/n) (a) Prove that go = I, that ok + oe for 0 < k < l< n - 1, and that Ok = Okun for all integers k. (b) Let o = 01. Prove that ok ok for all integers k. (c) Prove that {1,0,0%,...,ON-1} is a finite abelian group of order n.
(5) Let o be a k-cycle in Sn. (a) Prove that ok = id. (b) Prove that k is the smallest positive integer i such that oi = id. Thus, the order of a k-cycle in Sn is k.
do 14-9 please .
nine the stiffness matrix K for the truss. AE is nnstant l Determine ine the force in member 6. Take Dt andE200 GPa for each member. ermine the force in member 1 if this colution remove the 10-kN tb 1S 00015 m2 andthe 14 ar member ng before it was fitted into the truss. For ve the 10-kN load. Take A 0.0015 m2 200 GPa for each member. 4 6 4 10 kN
nine the stiffness...
Question 6 (20 points). Determine whether the following series converge or diverge, and by which test: o arctan(k) k-0 oo ok k! k-0
Question 6 (20 points). Determine whether the following series converge or diverge, and by which test: o arctan(k) k-0 oo ok k! k-0
Provide a convincing argument that a firm using with g(K,L) =min{K/4, L/5} would select K*= 128 in the Long Run given P=$96, w=$16 and r=$4??
Model View Result View Design View Member Graph Report View Status Educational 2.6299 K 4.2378 K 9,4685 K 5.6445 K EX 15.24 e EX 12.953K FX 11.808 MZ-95235 K-ft 98 K-ft MZ -1089 K-ft MZ 8 Front Find Tool Member Displacements, Detailed Member Forces, Detailed Member Stresses, Detailed Node Results Member Result Case Offset (ft) Dy (ft) Dz (ft) 0,0000 -0.0037 0,0000 COLO04L COLO04 L 0.0034 00000 1.3333 COLO04 L 2.6667 -0.0030 0.0000 COLO04 L 4,0000 -0.0025 0.0000 COLML 5...
Find member forces
20 k 60 k 1010" 40 k 4 20-0-40
Question 4 Which is NOT true of a free energy diagram for an E1 reaction? o It proceed through a carbocation intermediate. O The first step is electrophilic elimination. O It includes two transition states. O It begins with a rate determining step.
Page 38: E1-34B, E1-35B E1-34B. Analyze business transactions using the accounting equation. (LO 4). Enter each trans- action into the accounting equation. Then, calculate the (1) amount of assets owned by Izzy's Ice Cream Shop at the end of its first month of business and (2) the amount of net income for the month. All transactions took place during the first month: Izzy's was open for 25 days. 1. Izzy started the business by contributing $5,500 in exchange for common...