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Calculus1
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int_{0}^{1}x'(t)^{3}dt h in C ^{1}[0,1], h(0)=h(1)=0 ||h||_{1}=max {|h(t)|} +max{|h'(t)|}, t in [0,1] What should ||h||_{1} be to satisfy J(x(t)+h(t))-J(x(t))ge 0 ?
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