AS & A Level Mathematics (9709) — May–June 2023, Paper 22
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Solve the equation sec²θ + 5tan²θ = 9 + 17secθ for 0° < θ < 360°.
Answer this question and get it marked →The variables x and y satisfy the equation y = Ae^((A − B)x), where A and B are constants. The graph of ln y against x is a straight line passing through the points (0.4, 3.6) and…
Answer this question and get it marked →The diagram shows part of the curve y = 6/(2x + 3). The shaded region is bounded by the curve and the lines x = 6 and y = 2. Find the exact area of the shaded region, giving your…
Answer this question and get it marked →The diagram shows the graph of y = 3 − e^(−x/2). On the diagram, sketch the graph of y = 5x − 4 , and show that the equation 3 − e^(−x/2) = 5x − 4 has exactly two real roots.
Answer this question and get it marked →The diagram shows the curve with equation y = e^(−x/2)(x² − 5x + 4). The curve crosses the x-axis at the points A and B, and has a maximum at the point C. Find the exact gradient…
Answer this question and get it marked →Show that 4 sin(θ + (1/3)π) cos(θ − (1/3)π) ≡ √3 + 2 sin 2θ.
Answer this question and get it marked →A curve has parametric equations x = (2t + 3)/(t + 2), y = t² + at + 1, where a is a constant. It is given that, at the point P on the curve, the gradient is 1. Show that the…
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