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Let f(x) = e^x - 2x^2 Question 1. Determine all the options which imply that there is a unique zero p of f in [2,3] Ques

Posted: Tue Sep 07, 2021 7:57 am
by answerhappygod
Let f(x) = e^x - 2x^2
Question 1.
Determine all the options which imply that there is a unique zero p of f in [2,3]
Question 2.
The bisection method generates intervals [a0,b0], [a1,b1], ... and approximations p0=(a0+b0)/2 , p1=(a1+b1)/2 , ... Which of the following assertions are true?
Question 3.
Use 3 iterations of the bisection method to approximate the zero p ∈ [2,3] of f
Question 4.
At least how many steps of the bisection method are needed to determine the zero p ∈ [2,3] with an error of at most 0.5x10^-6?