https://padlet.com/tj_middleton/2az7gnhmb48qf6cn Use this as a way to collaborate about getting GeoGebra to calculate the area of the "pink region" from our notes, including making the area negative if the point goes below the x-axis. If you all can solve this together, you all get a free extra 4 (out of 4) in the gradebook. It's kinda a small bonus. At the very least, everyone must either post what they've done so far as an attempt or make a couple of deep, helpful comments on the work of others. I feel that making an account on GeoGebra and then sharing a link to your work there is your best bet for showing classmates what you've accomplished so far. Remember that insightful questions also show engagement in the task. If this is solved before class on Thursday, you get that extra free homework grade! en-us 2020-09-21 21:21:26 UTC 2025-04-17 21:44:48 UTC hello@padlet.com https://padlet.net/icons/png/1f344.png saskiabauman https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/772931359 This is the first one I did which is just what we did in class:  https://www.geogebra.org/classic/afndqrc3
I was trying to get the integral, like I remember doing between functions last year, but the original equation wasn't a function, so I made it one: y=sqrt(x^2-1). I was able to find the area below the curve and then subtracted it from the whole triangular area to get the weird area we wanted (and multiplied by 2 because if I hadn't made it a function, the same area would be on the other side of the x-axis. This let me see the area at many different values for A, but I couldn't make the area negative. Here's my geogebra: https://www.geogebra.org/classic/ncy4g3dg
Third, I found the derivative of the hyperbola. I got dy/dx=x/y. I made a tangent line at A. My equation was y-y[A]=x[A]/y[A](x-x[A]). I don't really know what this tells me, but here's the geogebra: https://www.geogebra.org/classic/cp9s9ueu]]> 2020-09-23 16:49:10 UTC https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/772931359 victoriademersseman https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/774461234 Here's my geogebra. I made the triangle like middy said. I wasn't really sure what to do about the other two sections but I kinda had a similar idea to saskia in that made you could use a function that is the top half of each branch, but I'm not really sure how. I am especially unsure about making it negative because even just the triangle area I made didn't go negative when I brought A below the X-Axis. https://www.geogebra.org/classic?lang=en . A question I have is whether Middy figured out how to do this himself or if he was shown how?]]> 2020-09-24 03:10:15 UTC https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/774461234 https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/774829356 Here's my graph of what we did in class. I'm not sure how to make the area negative. I was thinking if I move it below the x-axis that would work but it didn't seem to. Saskia went way in depth though and everything she did looks really good!]]> 2020-09-24 06:42:38 UTC https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/774829356 branchdemersseman https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/775904313 Here's my Geogebra file:
https://www.geogebra.org/classic/tewnmxft
Like Victoria, I followed Middy's suggestion of seperating the are into three different regions, though I was only able to find the area of the triangular region. 
I thought that I may be able to find the area by taking the integral of the function and multiplying by 2. However, I had trouble with this because I didn't convert it into a function.]]> 2020-09-24 14:17:42 UTC https://padlet.com/tj_middleton/2az7gnhmb48qf6cn/wish/775904313