QCEVault

Integration — Question 142

Original QCE Vault practice · 6 marks

Q142 · Practice questionTechnology-activeComplex familiar6 marks

QUESTION 142 (6 marks)

Values of f(x)f(x) at x=0,0.5,1.0,1.5,2.0x=0,0.5,1.0,1.5,2.0 are 1.000,1.649,2.718,4.482,7.3891.000,1.649,2.718,4.482,7.389.
Original diagram for Specialist Mathematics Paper 2 question 13
a)
Use Simpson’s rule to estimate ∫02f(x)dx\int_0^{2} f(x) \mathrm{d}x.
[3 marks]
b)
Identify the function suggested by the data.
[1 mark]
c)
Compare the estimate with the exact ∫\int for that function.
[2 marks]
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