(a)[5]
Find the area of the region lying between the two curves.
(b)[5]
The acute angle between the two tangents at $B$ is written as $\alpha^\circ$, and the axis scales are equal. Find $\alpha$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The curves $y = 2x^{\frac{1}{2}} + 1$ and $y = \frac{1}{2}x^2 - x + 1$ meet at $A(0, 1)$ and $B(4, 5)$, as the diagram shows.
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