The diagram shows the curve

and the point A(1, 2) which lies on the curve. The tangent to the curve at A cuts the y-axis at B and the normal to the curve at A cuts the x-axis at C.

i. Find the equation of the tangent AB and the equation of the normal AC.
ii. Find the distance BC.
iii. Find the coordinates of the point of intersection, E, of OA and BC, and determine whether E is the mid-point of OA.

Transcribed Image Text:

= (6x + 2)³ уз