page 04 MARKS 6. Given that ( ) , , find = ≠ − dy y x dx x 5 1 1 3 1 3 . 7. The line, L, makes an angle of 30° with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4). 8. The graphs of = + + 2 2 3 y x x and = + + 2 2 1 y x x are shown below. O y x = + + 2 2 3 y x x = + + 2 2 1 y x x The graphs intersect at the points where and = − = 1 2 x x . (a) Express the shaded area, enclosed between the curves, as an integral. (b) Evaluate the shaded area. 3 4 1 3
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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.
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