Question

Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. [Hint: Let

Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. (Hint: Let h(x) = f(x) - g(x).] f(x) = 2x + 2 g(x) = x + 10 Z -1.0 -0.5 0.5 1.0 1.5 2.0

h(x) = f(x) − g(x).]

f(x) = 2x + 2

g(x) =

x + 10

find x please

Answer 1

liven, 22 +2 F(x) = g(x) 5x + 10 h(x) = f (x) - g(x) 2 x + 2 - {x+10 We know that, for h(x)=0 formula for Mewton's method is xn han) in (x) Intl b let Now, h'(x) = 2 - L pot 125atro 21 = ro flno) doo f' (no) 2+1+2 - Sitio 1 1 2 - 251Hio 0.639 f(x) X2 =

x2 = 0.630 2 x 0.631 +2 -0.631 +10 2 2 Jo.661+10 - 0.630 Xz = x2 f (x2) J'(x2) 2*0-630+2-10.630110 0.630 2- bast 250.630 +10 4 = 0.630 Thus, to orool, roots are started up repeating Hence required solutron i's x= 0.6300