Need help with these 5 problems. Answers only is fine if you would like. I'll give helpful rating if most answers are correct :)

Select the correct answer. Identify the reason Newton's Method fails for the function f(x) = 3x3 - 6x + 7, where x_0 = ((2)/(3))^((1)/(2)) ' . O A. non-converging iterations O B. wrong initial approximation O c. f ( x ) = 0 O D. none of the aboveSelect the correct answer. Find the first approximation for the value of ' root(5)(25)', correct to 5 decimal places, using the initial estimate x0 = 3. O A. 1.90355 0 B. 1.90490 0 c. 2.10553 0 D. 2.46173 Select the correct answer. Given the function x) = x2 + 13.5x+ 45, use Newton's Method to find x6 when x0 = -7. O A. -8 O B. -7 5 O C. -7 Select the correct answer. Find the third approximation, correct to four decimal places, if x0 = -1 and f(x) = x2 + 2.6X+ 1.05. O A. -0.4971 0 B. 0.4551 0 c. -0.4999 0 D. -o.5000 Select the correct answer. Given the following function, find the root that lies between 1 and 3, correct to six decimal places. x)=x65)fl+2x3x+1 O A. 2.512770 0 B. 2.018182 0 c. 2.041450 0 D. 2.017440