3. (8 points) (Hand/Programming. If you use hand calculation, write down each step, and if you use programming, attach your codes at the end of your submission.) To find the zeros of f(x) = x4 + 2x2 2 3, we can use fixed-point iterations with the following four functions: 91(x) = (3 + x - 222)1/4 92(x) = (+3x++)? 93(2) = (473)/2 94(2) = 3.4 +222 +3 4x3+4x-1 (a) Starting with po = 1 and Pn+1 = g(Pn), perform 6 iterations, if possible (not blowing up or become imaginary), with each of the four functions above. Report the values in a table. (b) Which function do you think gives the best approximation? 3. (8 points) (Hand/Programming. If you use hand calculation, write down each step, and if you use programming, attach your codes at the end of your submission.) To find the zeros of f(x) = x4 + 2x2 2 3, we can use fixed-point iterations with the following four functions: 91(x) = (3 + x - 222)1/4 92(x) = (+3x++)? 93(2) = (473)/2 94(2) = 3.4 +222 +3 4x3+4x-1 (a) Starting with po = 1 and Pn+1 = g(Pn), perform 6 iterations, if possible (not blowing up or become imaginary), with each of the four functions above. Report the values in a table. (b) Which function do you think gives the best approximation