QUESTION 3. Newton-Raphson Method. [Show the steps and fill in the blank] {Mark: 3} Newton-Raphson method is applied to solve for y = x2 - . = average of the last 4 digits of your student ID; e.g., 107 333 450 = (3+4+5+0)/4 = 3 If the initial guess is x = , the improved guess will be x = Hint: The slope, dy/dx can be expressed y/x. The value of the slope at the x value, along with the y needed to bring y to zero, can be used to deduce the new x, i.e., xnew = x - x.

QUESTION 3. Newton-Raphson Method. [Show the steps and fill in the blank] {Mark: 3} Newton-Raphson method is applied to solve for y = x? - B. B = average of the last 4 digits of your student ID; e.g., 107 333 450 = (3+4+5+0)/4 = 3 If the initial guess is x = B, the improved guess will be x = Hint: The slope, dy/dx can be expressed Ay/Ax. The value of the slope at the x value, along with the Ay needed to bring y to zero, can be used to deduce the new x, i.e., Xnew = x - Ax