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A-Level MathematicsYear 2022Q12

(1305U40-1) 5 © WJEC CBAC Ltd. 12. Find the solution of the differential equation where y = 6 and when x = 0. [12] 13. The curve C has polar equation r = 2 – cosθ for 0 X θ X 2π. (a) Sketch the curve C. [2] (b) (i) Show that the values of θ  at which the tangent to the curve r = 2 −cosθ is parallel to the initial line satisfy the equation (ii) Find the polar coordinates of the points where the tangent to the curve r = 2 −cosθ is parallel to the initial line. [9] 14. Evaluate the integral giving your answer correct to three decimal places. [10] END OF PAPER 2cos2θ −2cosθ −1= 0 . 6x2 + 2x +16 x3 −x2 + 3x −3 2 4∫ dx dy dx = 5 3d2y dx2 + 5 dy dx −2y = 8 + 6x −2x2 , , BLANK PAGE (1305U40-1) 6 © WJEC CBAC Ltd. BLANK PAGE (1305U40-1) 7 © WJEC CBAC Ltd.

Mathematics A-Level Diagram
Paper Source:z22-2310-01.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)