4. [Newton's Method, 10 pts] Consider the system of two nonlinear equations 2y- sinz 0 (o)...
Consider the solution of the nonlinear system of equations f1(x,y)=2x-4cos(y)=0 f2(x,y)=4xsin(y)=0 We want to start with (x0,90)=(0,7/6) and apply Newton's method to compute (X7,71). Whic one of the following(s) is/are true: (1) The solutions are (0, 1/2) and (-2, 1) 2 (II) The Jacobian evaluated at (0,1/2) is (II) (X1,81) = (0,5 +13) Select one: O a. (I) and (11) b. (II) and (111) c. (l) and (III) O d. None of these O e.(I), (II) and (III)
7 significant digits please + 2y2-10, the spherex-+ y2 + z2-5, and the plane x + 2y+ 3z- (1 point We can use Newton's method to estimate an intersection pont of the c inder 3x Collecting the equations and putting them in standard form, we can write (v)-v -50,wherey Suppose we start with the initial guess o0 The Jacobian there is The function value is And v,-Vo -Jo fvo) is equal to + 2y2-10, the spherex-+ y2 + z2-5, and...
I need help with question 30d 16. y = 0 (that is, y(x) = 0 for all x, also written y(x) = 0) is a solution of (2) (not of (1) if (x) • o , called the trivial solution 17. The sum of a solution of (1) and a solution of (2) is a solution of (1). 18. The difference of two solutions of (1) is a solution of (2). 19. If yı is a solution of (1), what...