parameters (if any) from your ID number. Any electronic device such as calculator, mobile phone, etc. are forbidden. You are expected to scan your solutions with programs such as Adobe scanner, Camscanner, Clear lens, Glass scanner, etc. and upload it as a single PDF file within the given time. Write your own name in the PDF file. Late submissions will not be considered. Parameters: w=7 th digit of your ID number a=w+1. Question 1 A special logo will be constructed for a company. It consists of two curves such as the circle r= a

points and the lemniscate r 2
= 2
a

sin(2θ). The region(s) that lie in the intersection of these two curves will be drawn as bold. i) Draw this logo and show the bold region(s). ii) Find the area of the bold region(s).

Answer :

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