9709 · topic questions
Numerical solution of equations
12 past-paper questions on Numerical solution of equations
(c) Use an iterative formula, based on the equation in part (b), to find the x-coordinate of the point of intersection correct to…
Practise the full question →Use an iterative formula based on the equation in part (b) to find the x-coordinate of M correct to 4 significant figures. Give…
Practise the full question →Use an iterative formula based on the equation in part (a) to find the x-coordinate of P correct to 3 significant figures. Give…
Practise the full question →The equation has a root close to 1.2. Use the iterative formula from part (a) and an initial value of 1.2 to determine the root…
Practise the full question →Use the iterative formula xₙ₊₁ = exp(2+e⁻⁰·²ˣⁿ) - 1 to determine the root correct to 2 decimal places. Give the result of each…
Practise the full question →Use this iterative formula with an initial value of 1.4 to determine α correct to 2 decimal places. Give the result of each…
Practise the full question →Use this iterative formula to determine the root correct to 3 decimal places. Give the result of each iteration to 5 decimal…
Practise the full question →The diagram shows the curve with equation y = √sin2x+sin2x for 0 < x < π. The shaded region is bounded by the curve and the…
Practise the full question →Use the iterative formula xn+1 = 2-2sinx, with an initial value of 1.03 to calculate the root correct to 2 decimal places. Give…
Practise the full question →By sketching a suitable pair of graphs, show that the equation |x-2|= 2sinx has only one root in the interval 0 < x < π.
Practise the full question →Show by calculation that this root lies between 7 and 9.
Practise the full question →Show by calculation that the x-coordinate of M lies between 2.5 and 3.0 .
Practise the full question →
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Numerical solution of equations (9709) past-paper questions — marked instantly
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