Question: a) Prove that the equation x = 1 + 1 / 2 s i n x has exactly one solution. [Hint: Consider f(x) and its

a) Prove that the equation x = 1 + 1/2sinx has exactly one solution.

[Hint: Consider f(x) and its derivative for a suitable function f(x).]

b) Use Newton's method to find the value of x to one decimal place.

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