Horizontal line that divides the area in two equal parts

Hi Forum!

I have found this question:

*Find the horizontal line y=k that divides the area bounded by the curves * * and * * in two equal parts*.

What I thought:

Get the bounded area.

...

Divide it by two

and calculate that with line k equaling 18

But, if we calculate

This is because we are going to subtract the same area more than once, right?

The answer is probably something around 3 and 6 then.

I am not sure how to continue.

Thanks! :)

Re: Horizontal line that divides the area in two equal parts

Quote:

Originally Posted by

**Zellator** Hi Forum!

I have found this question:

*Find the horizontal line y=k that divides the area bounded by the curves * * and * * in two equal parts*.

If this is the way you want to solve the problem then I think you mean

Re: Horizontal line that divides the area in two equal parts

Quote:

Originally Posted by

**pickslides** If this is the way you want to solve the problem then I think you mean

Whaat, yes you are right. But I got the x for the y there!

I'm really sorry. hahahah :D

Thanks for the reply though,

I really didn't think there would be anyone online now.

Re: Horizontal line that divides the area in two equal parts

Maybe **y** = 9? If so, why would the limits be [-3,3] when 'k' is introduced?

Maybe ?

Re: Horizontal line that divides the area in two equal parts

Quote:

Originally Posted by

**TKHunny** Maybe

**y** = 9? If so, why would the limits be [-3,3] when 'k' is introduced?

Maybe

?

Hi TKHunny!

I just solved it, it was a lot of work but I arrived at

...

Thanks for your help :)

All the best