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4. Let f(x) = -5x'-2x' + 4x +14. (a) Show that the equation f(x) - has a unique root a in (-2,-1]. (b) Find the Newton's
Posted: Thu May 12, 2022 10:41 am
by answerhappygod
- 4 Let F X 5x 2x 4x 14 A Show That The Equation F X Has A Unique Root A In 2 1 B Find The Newton S 1 (23.7 KiB) Viewed 25 times
4. Let f(x) = -5x'-2x' + 4x +14. (a) Show that the equation f(x) - has a unique root a in (-2,-1]. (b) Find the Newton's iterative formula for solving the equation f(x)=0. [Give the formula in the form x. - g( x2 where g(x) and h(x...) are polynomial functions.) h(x.-) (e) Show that the sequence obtained by the iterative formula in (b) will converge to a for any initial guess x in (-2,-1] (d) Hence, with x =-1, estimate the value of a correct to 4 decimal places. (25 marks)