f(x) = ex - 4x
(a) Show that the equation f(x) = 0 has a root α in the interval [0, 1].
(b) Using xn+1 = 1/4 exn with x0 = 0.3, find x1, x2, x3 to 5 decimal places.
(c) Show that α = 0.357 to 3 decimal places.
From Paper 2: Pure Mathematics 2
1212 marks
(a) Use the substitution u = x + 1 to find the exact value of ∫03 x√(x + 1) dx.
(b) Use the trapezium rule with 3 strips to estimate the same integral.
(c) Find the percentage error in your estimate and explain why the trapezium rule gives an overestimate here.
Score 0 / 19 · 0 of 2 marked
This paper is written by Plasmo in the style of the Edexcel A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.