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Yikes, need to find the area and the name for these parametric equations:
x(t) = a cos(t) (2 cos(2 t)+1)
y(t) = a sin(t) (2 cos(2 t)+1)
What is...? I don't even...? How? I'll draw the graph....
 one year ago
 one year ago
Yikes, need to find the area and the name for these parametric equations: x(t) = a cos(t) (2 cos(2 t)+1) y(t) = a sin(t) (2 cos(2 t)+1) What is...? I don't even...? How? I'll draw the graph....
 one year ago
 one year ago

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agentx5Best ResponseYou've already chosen the best response.0
Cartesian? Check me please? x^6+3 x^4 (y^23)+3 x^2 y^2 (y^2+2)+y^6 = y^4 dw:1342133559037:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
It looks like of like a Dorbital from chemistry, but it's got little lobes on the vertical, so that means it's probably more like some weird Forbital. :D Help?
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
\[x^6+3 x^4 (y^23)+3 x^2 y^2 (y^2+2)+y^6 = y^4\]
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
I just chose some arbitrary "a" constant to sub.
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342133866479:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Is that \(\tan t\) @mahmit2012 ? Ty in advance btw, you always seem to be the one who's here to help when I get stuck on these challenge problems :D
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342133990522:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134107025:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134151837:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
\(x^2 + y^2 = \text{radius}^2\)
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134219662:dw
 one year ago

asnaseerBest ResponseYou've already chosen the best response.0
you can see a graph of this using wolfram, e.g.: http://www.wolframalpha.com/input/?i=plot+%7Bx%3Da*cos%28t%29%282cos%282t%29%2B1%29%2C+y%3Da*sin%28t%29%282cos%282t%29%2B1%29%7D+when+a%3D3 your graph is correct :)
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
\(\text{Area} = 3 \pi a^2\), correct ?
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Whoa cool link there, @asnaseer I didn't know you could do that with Wolfram, that's some pretty fancy syntax :D
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Does this graph actually have a name though? It's not as if I can just Google the image lol
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134548532:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134699157:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134862828:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342134931824:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
*reading & taking notes* :3
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
origin build with 1+cos2t=0 _> x=0 , y=0 common term between x , y
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342135079515:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342135156538:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
for exactly drawing d/dt=0 for x , y give you some critical points
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Clear, you are finding the polar lines, basically, where r = 0.
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342135317896:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
We just touched on polar stuff today, this question was from the "challenge" section of the written homework. The other curves have names that we discussed in the lecture like "carotid", "ellipse", and "circle" which are kind of obvious which is which.
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Yep! That looks like the other questions where we were asked to find the vertical and horizontal tangents
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
dy/dt = 0 is for horizontal I believe
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342135476935:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342135505524:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
interesting problem !
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Does this funky thing have a name though? :D
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
No! it has a nice shape .
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
It just asks me to type in the "area" in the one text field. Which was correct yay! And then it has a text box under it for "name of curve". The others were easy, but this one I haven't got a clue. Maybe it's in the text, somewhere amidst all its pages but it's not easy to find.
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
It kind of looks like... one of those things when you roll a circle within a circle
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
Try to solve one by yourself then think it's so easy and sure after that enjoy with the figure.
 one year ago

agentx5Best ResponseYou've already chosen the best response.0
Well I'm not going to sweat it, the hard part is done. Who cares about the name, you're right :D
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.4
dw:1342136059673:dw
 one year ago