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This page covers Questions and Worked Solutions for Edexcel Further Maths Paper 2 Oct 2020, 9FM0/02.

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Edexcel 2020 Further Maths Mechanics Paper 2 (Question Paper)

Edexcel 2020 Further Maths Mechanics Paper 2 (Mark Scheme)

- The curve C has equation

y = 31 sinh x − 2 sinh 2x

Determine, in terms of natural logarithms, the exact x coordinates of the stationary points of C - In an Argand diagram, the points A and B are represented by the complex numbers
−3 + 2i and 5 − 4i respectively. The points A and B are the end points of a diameter of
a circle C.

(a) Find the equation of C, giving your answer in the form - A scientist is investigating the concentration of antibodies in the bloodstream of a patient
following a vaccination.

The concentration of antibodies, x, measured in micrograms (μg) per millilitre (ml) of blood, is modelled by the differential equation - (a) Use de Moivre’s theorem to prove that

sin 7θ = 7 sinθ − 56 sin^{3}θ + 112 sin^{5}θ − 64 sin^{7}θ

(b) Hence find the distinct roots of the equation

1 + 7x − 56x^{3}+ 112x^{5}− 64x^{7}= 0

giving your answer to 3 decimal places where appropriate. - (a) y = tan
^{−1}x

Assuming the derivative of tanx , prove that - (a) Given that k ≠ 4, find, in terms of k, the inverse of the matrix M.

(b) Find, in terms of p, the coordinates of the point where the following planes intersect - A student wants to make plastic chess pieces using a 3D printer. Figure 1 shows the
central vertical cross-section of the student’s design for one chess piece. The plastic
chess piece is formed by rotating the region bounded by the y-axis, the x-axis, the line
with equation x = 1, the curve C1
and the curve C2 through 360° about the y-axis.

The point A has coordinates (1, 0.5) and the point B has coordinates (0.5, 2.5) where the units are centimetres.

The curve C1 is modelled by the equation

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