This is part of a collection of videos showing step-by-step solutions for CIE A-Level Mathematics past papers.

This page covers Questions and Worked Solutions for CIE Pure Maths Paper 2 February/March 2022, 9709/22.

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CIE March 2022 9709 Pure Maths Paper 2 (pdf)

- Solve the equation |5x − 2| = |4x + 9|.
- A curve has equation y = 7 + 4 ln(2x + 5). Find the equation of the tangent to the curve at the point (−2, 7), giving your answer in the form y = mx + c.
- The variables x and y satisfy the equation y = 3
^{2a}a^{x}, where a is a constant. The graph of ln y against x is a straight line with gradient 0.239. (a) Find the value of a correct to 3 significant figures. (b) Hence find the value of x when y = 36. Give your answer correct to 3 significant figures. - (a) Show that sin 2θ cot θ − cos 2θ = 1.
- (a) Given that y = tan
^{2}x

- The polynomial p(x) is defined by

p(x) = 4x^{3}+ 16x^{2}+ 9x - 15,

(a) Find the quotient when p(x) is divided (2x + 3), and show that the remainder is -6. - A curve has equation e
^{2x}y − e^{y}= 100. (b) Show that the curve has no stationary points. It is required to find the x-coordinate of P, the point on the curve at which the tangent is parallel to the y-axis. (c) Show that the x-coordinate of P satisfies the equation

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