AS & A Level Mathematics (9709) — October–November 2024, Paper 22
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Use logarithms to show that the equation 5^(8y) = 6^(7x) can be expressed in the form y = kx. Give the value of the constant k correct to 3 significant figures.
Answer this question and get it marked →Let f(x) = 4 sin²3x. Find the value of f'(¼π).
Answer this question and get it marked →A curve has equation 6e^(−x)y² + e^(2x) − 12y + 7 = 0. Find the gradient of the curve at the point (ln 3, 2).
Answer this question and get it marked →Sketch the graphs of y = 1 + e^(2x) and y = x − 4 on the same diagram.
Answer this question and get it marked →The polynomial p(x) is defined by p(x) = ax³ + bx² − ax + 8, where a and b are constants. It is given that (x + 2) is a factor of p(x), and that the remainder is 24 when p(x) is…
Answer this question and get it marked →The diagram shows the curves with equations y = ∛(5x² + 7) and y = 27/(2x + 5) for x ≥ 0. The curves meet at the point (2, 3). Region A is bounded by the curve y = ∛(5x² + 7) and…
Answer this question and get it marked →Express 4 sin θ sin(θ + 60°) in the form a + R sin(2θ − α), where a and R are positive integers and 0° < α < 90°.
Answer this question and get it marked →← October–November 2024 Paper 23 · October–November 2024 Paper 21 →