Fill in the blanks. Let f(x) =e-3x _ 2x + 5. Then f(1)= (*write only the integer part ) f(4) = (*write only the integer part ) Since by theorem f has a in the interval Consider the above function and...

Extracted text: Fill in the blanks. Let f(x) =e-3x _ 2x + 5. Then f(1)= (*write only the integer part ) f(4) = (*write only the integer part ) Since by theorem f has a in the interval Consider the above function and the interval (given and found in question 1) (a) Apply bisection method with 3 steps to find an initial approximation for the root r. (b) Apply Newton method with 2 steps to find an approximate root r of f(x) (C) Find a convergent fixed point iteration and apply this iteration with 2 steps to find an approximate root r of f(x) In each case, indicate which one is the approximate root.