- #1

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## Homework Statement

The question is attached in the picture.

## The Attempt at a Solution

From the question I deduced that there are 3 boundaries: red, green and blue.

__Blue Boundary__

This one is the easiest:

That part of the curve of y

^{2}= 4a(a-x), which corresponds to

**u = a**.

__Red Boundary__

This corresponds to x = 0, y > 0.

When x = 0,

y

^{2}= 4u

^{2}= 4v

^{2}, which corresponds to

**u = v**.

__Blue Boundary__

This happens when y = 0, x > 0.

When y = 0,

u = 0 or u = x. ------ (1)

v = 0 or v = -x.

Not sure what is going on here...

To try and vizualize the boundaries in the u-v (u,v) plane, I tried to find the intersection between each boundary.

__Blue-red Intersection__

u = a AND u = v

Therefore, this corresponds to the point (a, a)

I've yet to find the red-green intersection and the blue-green intersection..