Question: for all x E [0. b]. (7) Suppose that p,q > 0 are such that i + i = 1. Show that if u,v 2

for all x E [0. b]. (7) Suppose that p,q > 0 are such that i + i = 1. Show that if u,v 2 0 then up v4 uvs+. P q Show also that given c :2 0 it holds that (8) Suppose that p, q r 0 are such that i + i = LShow that if {ak}g=l, {bug} satisfy (1;, bk 2 0 then I: n \"P n l J"? Eat! 5 (2(a)?) (Zoo?) . k: 1 k: 1 k: 1 (9) Suppose that p,q ) 0 are such that i + g = 1. Letf 6 Mar), 3 6 72(3) with g 2 O with fabfpda=l=/:qua. then

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