f(x) 3 cos (x 2 ) x 2 a Show that the equation f(x) 0 can be written as b Use the iterative formula to find, to 3 decimal places, the values of x 1 , x 2 and x 3 c Given that f(x) 0 has only one root, , show that 1 1298 correct to 4 decimal places x arccOS (2 x) 3 2...

a 3 cos x x 2 0 cos x 2x 3 b c x arccos 2 x ...

f(x) = 3 cos (x 2 ) + x 2 a. Show that the equation f(x)

Question:

f(x) = 3 cos (x²) + x − 2

a. Show that the equation f(x) = 0 can be written as

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.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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f(x) = 3 cos (x 2 ) + x 2 a. Show that the equation f(x)

Question:

x = arccOS (2-x) 3 −2

Step by Step Answer:

a 3 cos x x 2 0 cos x 2x 3 b c x arccos 2 x ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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