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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
12 Nov 2021

Given information

It is given that the required function has a line segment from to and an upper half-circle with center at and radius . one needs to find that function.

Step-by-step explanation

Step 1.

As function is having the line segment from the point   to , find the equation for that line. The equation for the line which joins the two-point and  will be;

 

The equation of the circle with a radius and center at the origin is . Thus, .

Since line segment is taken from   to , one will consider the interval for as , and the upper half-circle is lying in the interval . Therefore, the required function will be;

 

 

 

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