Question: f(x) = 3 cos (x 2 ) + x 2 a. Show that the equation f(x) = 0 can be written as b. Use

f(x) = 3 cos (x2) + x − 2 

a. Show that the equation f(x) = 0 can be written asx = arccOS (2-x) 3 2

b. Use the iterative formula to find, to 3 decimal places, the values of x1, x2 and x3. 

c. Given that f(x) = 0 has only one root, α, show that α = 1.1298 correct to 4 decimal places.

x = arccOS (2-x) 3 2

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