Problem 1 (20 points) - Choose only one answer that most accurately answers the question posed. 01- The following system of equation has: 100020730510 A) Infinitely many solutions B) A unique solution C) No solution D) The information provided is not enough 02. Given the data points: (x1,y1),(x2,y2),,(xn,yn). The best fitting data to y=f(x) by least squares regression requires minimization of (E) by: A) i=1n[yif(xi)] B) i=1nyif(xi) c) i=1n[yif(xi)]2 D) i=1n[yiy]2,y=ni=1nyi dx2d2Z=x4dZdxdxx22Zx22logx;Z(x=0.5)=0anddxx=0dZ=0.5 A) Euler method B) Shooting method with Bisection method C) System of linear algebraic equations D) System of non-linear algebraic equations E) The problem can NOT be solved with the given conditions