The diagram shows part of the curve y = (x − 2)⁴ and the point A(1, 1) on the curve.
The tangent at A cuts the x-axis at B and the normal at A cuts the y-axis at C.

i. Find the coordinates of B and C.
ii. Find the distance AC, giving your answer in the form √a/b, where a and b are integers.
iii. Find the area of the shaded region.

Transcribed Image Text:

0 A(1, 1) B y = (x-2)4