10.3 The Newton-Raphson Method
9
0/9

f(x)=12ln⁡(x)−x2+5x>0f(x) = 12\ln(x) - x^2 + 5 \quad x > 0f(x)=12ln(x)−x2+5x>0

a.

Show that y=f(x)y = f(x)y=f(x) has a stationary point in the interval [2.4,2.5][2.4, 2.5][2.4,2.5]

[5]
b.

Starting with x0=2.45x_0 = 2.45x0​=2.45, apply the Newton-Raphson procedure twice to find an approximation for the x x\,x coordinate of the stationary point in the interval [2.4,2.5][2.4, 2.5][2.4,2.5]. Give your answer to 3 decimal places.

[4]

10.3 The Newton-Raphson Method Questions

Practise Edexcel A Level Maths 10.3 The Newton-Raphson Method with exam-style questions for A Level Maths. 23 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

10.3 The Newton-Raphson Method Questions

  1. A Level
  2. /Maths
  3. /10.3 The Newton-Raphson Method