Ethan Lie's answer to Eric's Secondary 4 A Maths Singapore question.

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Ethan Lie
Ethan Lie's answer
20 answers (Tutor Details)
1st
Step by step, first part use the result from differentiations to integrate via Manipulation.

Next find equation of AC using the info that ac is normal to gradient so you can find the negative inverse of the gradient of the graph at A.

last part break the area into triangle and semicircle region. Triangle region can be found by integrating the line while semicircle region can be found by integrating region under curve