Problem 1. (a) Prove that the function f(x) = x³ – 4x + 2 has three distinct roots in the interval (-3,2).

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Solve both parts 

Problem 1.
(a) Prove that the function f(x) = x³ – 4x + 2 has three
distinct roots in the interval (-3, 2).
(b) Prove that xe" = 2 for some x in (0, 1).
%3D
Transcribed Image Text:Problem 1. (a) Prove that the function f(x) = x³ – 4x + 2 has three distinct roots in the interval (-3, 2). (b) Prove that xe" = 2 for some x in (0, 1). %3D
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