(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.
Get full Socratic AI guidance on this question — free in the Applaa desktop app
Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.
Join Applaa Community
Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.
Available for Windows and macOS · COPPA Compliant
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.
While Other Kids Get an AI Head Start, Is Yours Falling Behind?
Give your child the same AI app-building, exam prep and tutoring edge — free for the first month, no credit card needed.
Join 10,000+ students building their first AI-powered apps with Applaa