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1 Unit 1: Pure Mathematics A

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Question 324

The diagram shows the curve C C\,C with equation y=4+3x−x2y = 4 + 3x - x^2y=4+3x−x2 and the line l l\,l with equation y=x+1y = x + 1y=x+1.

Figure for question 8

a.

On the diagram, shade and label the region R R\,R that is satisfied by the inequalities 0⩽y⩽4+3x−x20 \leqslant y \leqslant 4 + 3x - x^20⩽y⩽4+3x−x2 and y⩾x+1y \geqslant x + 1y⩾x+1

[2]
b.

Find the coordinates of the two points where C C\,C and l l\,l intersect.

[3]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
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  3. /1 Unit 1: Pure Mathematics A

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