Define regions

[analog hamlet]

Surely the inequality $$0.5y \leq x \leq \sqrt y$ is sufficient to describe the region so why do we need another inequality for y

[glad quartz]

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[prime bough]

fosur
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[finite veldt]

To make the bound writing explicit

[analog hamlet]

Wdym by this

[finite veldt]

I mean what I wrote. That set makes it clear what the integration bounds are

[analog hamlet]

Ah okay thx

And I have one more question

[finite veldt]

Ok

[finite veldt]

Ok

[analog hamlet]

I understand that d is a variable that lies on the z axis

But I don’t get what the other axis xy means

[finite veldt]

You mean why there are 3 axes?

[analog hamlet]

In the second picture they plotted z axis against xy

So is xy just a plane

[finite veldt]

Oh I see what you mean

They just took a cross section

It's a side on view (same way you look at a piece of paper at its side you see a line)

So yes, that xy axis is just the plane

[analog hamlet]

Ok and I’m confused what region is being define when r is between r min and R

And theta is between 0 and theta max

[finite veldt]

Yeah that's probably better for your prof lol

[analog hamlet]

This is confusing

Why did they define r min to be hypotenuse of triangle containing side lemgth d

[finite veldt]

I mean from the picture it's where the arm crosses the plane z=d

[analog hamlet]

Ah ok thanks

+close

[tidal zephyr]

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@analog hamlet

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