Course home

1 Unit 1: Pure Mathematics A

A curve $C\,$ has equation $\dfrac{3}{2\sqrt{x}}$

The region enclosed between $C$ , the $x$ -axis and the lines $x = 1$ and $x = k$ has area 12 square units.

Given that $k > 1$ , find the value of $k$ . Fully justify your answer.

[5]

1 Unit 1: Pure Mathematics A Questions

A curve $C\,$ has equation $\dfrac{3}{2\sqrt{x}}$

The region enclosed between $C$ , the $x$ -axis and the lines $x = 1$ and $x = k$ has area 12 square units.

Given that $k > 1$ , find the value of $k$ . Fully justify your answer.

[5]