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Question: let frr be a function given by e 21 fort...

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Let f:R-R be a function given by e 21 fort > 0 otherwise You can without proof use that fa-e-a+sgn(λ))VIAl where for λ > 0 for λ < 0 You can also use, without proof, that a) Calculate the integrals t 2e 2t dt and 0 Let g: R-R be the function given by g(0)-a(t- b) 2e36-D) fort > b otherwise Where a, b E R and c> 0 b) Show that for λ ER.I Let g1, g2: R- R be the functions given by 0 otherwise 2(t-b2) for otherwise Where a , a2, b , b2 E R and c, , c2 > 0 c) Show that tort > otherwise 0 where

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