AS & A Level Mathematics (9709) — October–November 2024, Paper 23
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The variables x and y satisfy the equation a^(2y) = e^(3x+k), where a and k are constants. The graph of y against x is a straight line. Use logarithms to show that the gradient of…
Answer this question and get it marked →Solve the inequality x − 7 4x + 3.
Answer this question and get it marked →The function f is defined by f(x) = tan²(½x) for 0 ≤ x < π. Find the exact value of f′(⅔π).
Answer this question and get it marked →The polynomial p(x) is defined by p(x) = ax³ − ax² − 15x + 18, where a is a constant. It is given that (x + 2) is a factor of p(x). Find the value of a.
Answer this question and get it marked →It is given that ∫ from a to a³ of 10/(2x + 1) dx = 7, where a is a constant greater than 1. Show that a = ³√(0.5 e^(1.4) (2a + 1) − 0.5).
Answer this question and get it marked →A curve has parametric equations x = (e^(2t) − 2)/(e^(2t) + 1), y = e^(3t) + 1. Find an expression for dy/dx in terms of t.
Answer this question and get it marked →Prove that cos(θ + 30°) cos(θ + 60°) ≡ ¼√3 − ½ sin 2θ.
Answer this question and get it marked →← October–November 2024 Paper 31 · October–November 2024 Paper 22 →