tutorial_wk4 - Tutorial week 4 1(a Let f(x = ex 4x Using the Intermediate Value Theorem prove that the equation f(x = 0 has a unique solution p in the

tutorial_wk4 - Tutorial week 4 1(a Let f(x = ex 4x Using...

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Tutorial week 4 1. (a) Letf(x) = ex-4x.Using the Intermediate Value Theorem prove that theequationf(x) = 0 has a unique solution,p, in the interval (0,1).(b) One rearrangement of this equation isx=g(x) := 0.25 ex.Show that theiterative methodpn+1=g(pn) will converge topfor suitable starting values.(c) Starting withp0= 0.36, estimatepcorrect to three decimal places. ————————————————————————————————————-

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