3A (15) 1 point possible [graded] Find a positive initial guess can for the positive zero of :3 x3 = 0 for which Newton's method gives an undefined quantity for :31. (Type :1: for multiplication; type f for division; type A for exponentiation. You may type sqrt for / . You may also enter answer as a decimal correct to 3 decimal places.) 23:}: 3A (16) 1 point possible [graded] Find a positive initial guess $3 for the zero of m x3 = 0 for which Newton's method bounces back and forth innitely. (Use symmetry.) (Type :3 for multiplication; type f for division; type A for exponentiation. You may type sqrt for f. You may also enter answer as a decimal correct to 3 decimal places.) 23:}: 3A (17) 3 points possible {graded} Find the largest interval around each of the roots 3 x3 = 0 such that Newton's method converges to that root for every initial guess can in that interval. (Use your previous two answers here.) (Enter answer as an interval (a, b). Enter infty for DO and -infty for 00. Use round parentheses. You may type sqrt(2) for x/E etc. Type * for multiplication, lr'for division, and A for exponentiation.) Interval converging to m = 1 II a: Interval converging to a: Interval converging to a: = 1