we are programming in python and can use numpy and scipy

Use Multivariate Newton's Method to find the two points in common of the three given spheres in three-dimensional space. (a) Each sphere has radius 1, with centers (1, 1,0). ,0, 1), and (0, 1, 1). (Ans. (1, 1, 1) and (1/3, 1/3, 1/3)) (b) Each sphere has radius 5, with centers (1,-2,0). (-2,2,-1), and (4,-2,3) 5. Use Multivariate Newton's Method to find the two points in common of the three given spheres in three-dimensional space. (a) Each sphere has radius 1, with centers (1, 1,0). ,0, 1), and (0, 1, 1). (Ans. (1, 1, 1) and (1/3, 1/3, 1/3)) (b) Each sphere has radius 5, with centers (1,-2,0). (-2,2,-1), and (4,-2,3) 5