AS & A Level Mathematics (9709) — May–June 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 →Solve the inequality 5x + 7 2x − 3 .
Answer this question and get it marked →Use logarithms to solve the equation 6^(2x−1) = 5e^(3x+2). Give your answer correct to 4 significant figures.
Answer this question and get it marked →The diagram shows the curve with equation y = 8e^(−x) − e^(2x). The curve crosses the y-axis at the point A and the x-axis at the point B. The shaded region is bounded by the…
Answer this question and get it marked →A curve is defined by the parametric equations x = 4cos²t, y = √3 sin 2t, for values of t such that 0 < t < ½π. Find the equation of the normal to the curve at the point for which…
Answer this question and get it marked →The polynomial p(x) is defined by p(x) = 9x³ + 18x² + 5x + 4. Find the quotient when p(x) is divided by (3x + 2), and show that the remainder is 6.
Answer this question and get it marked →The diagram shows the curve with equation y = ln(2x + 1) / (x + 3). The curve has a maximum point M. Find an expression for dy/dx.
Answer this question and get it marked →Prove that 2 sin θ cosec 2θ ≡ sec θ.
Answer this question and get it marked →