Answer to Question #119744 in English for Shania kumar

Question #119744
Let f(x) = xcubed + x-1
(i) Use the Intermediate Value Theorem to show that f (x) has at least one root in the interval
[0, 1].
(ii) Starting at x0=1, use the Newtons method to approximate this root.
1
Expert's answer
2020-06-03T07:59:08-0400

f(x)= x3 +x-1

f(x)= 0, (0, 1)

f(0)= (0)3+(0)- 1

= -1

f(1)= (1)3+ (1)-1

=1




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