Curve sketching, area integral, integration, maximum value.

[STEP II 2011 Question 8 (Pure)]

Tangent, sequence of points meet the curve.

[STEP III 2003 Question 4 (Pure)]

Integration, curve sketching, area.

[STEP III 1999 Question 6 (Pure)]

Curve sketching, perimeter, area of region, integration.

[STEP III 1992 Question 10 (Pure)]