AS & A Level Mathematics (9709) — May–June 2025, Paper 22
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Show that integral from 2 to 11 of 8/(4x + 1) dx = ln a, where a is an integer to be found.
Answer this question and get it marked →Sketch on the same diagram the graphs of y = 2x − 9 and y = 4x − 5.
Answer this question and get it marked →Find the coordinates of the stationary points of the curve with equation y = 8x/(2x + 3) − 6x + 5.
Answer this question and get it marked →The diagram shows parts of the curves with equations y = 4e^(−2x) and y = 1 + 0.5 sin 3x. Point P is a point of intersection of the curves, and the shaded region is bounded by the…
Answer this question and get it marked →The polynomial p(x) is defined by p(x) = ax^4 + bx^3 + 13x^2 − 35x + 15, where a and b are constants. It is given that (2x − 1) and (x − 3) are factors of p(x). Find the values of…
Answer this question and get it marked →A curve has equation (x^2 − 3) ln y + 6x = 14. Show that there is no point on the curve at which the y-coordinate is e^(−1).
Answer this question and get it marked →Express 4 cos θ sin(θ + 30°) in the form R cos(2θ − α) + k, where R 0, 0° < α < 90° and k is a constant.
Answer this question and get it marked →