AS & A Level Mathematics (9709) — October–November 2023, Paper 21
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →It is given that θ is an acute angle in degrees such that sin θ = 2/3. Find the exact value of sin(θ + 60°). [3]
Answer this question and get it marked →A curve has equation y = 3 tan((1/2)x) cos 2x. Find the gradient of the curve at the point for which x = (1/3)π. [5]
Answer this question and get it marked →Find ∫₄¹⁰ 4/(2x − 5) dx, giving your answer in the form ln a, where a is an integer. [4]
Answer this question and get it marked →Sketch, on the same diagram, the graphs of y = 3x − 5 and y = 2x + 7. [2]
Answer this question and get it marked →The polynomial p(x) is defined by p(x) = 6x^3 + ax^2 + bx − 20, where a and b are constants. It is given that (x + 2) is a factor of p(x) and that the remainder is −11 when p(x)…
Answer this question and get it marked →Show that cosec θ (3 sin 2θ + 4 sin^3 θ) ≡ 4 + 6 cos θ − 4 cos^2 θ. [3]
Answer this question and get it marked →The curve with equation e^(2x) − 18x + y^3 + y = 11 has a stationary point at (p, q). Find the exact value of p. [4]
Answer this question and get it marked →← October–November 2023 Paper 22 · October–November 2023 Paper 13 →