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OfflineTrancedShroom
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Calculus
    #5705379 - 06/02/06 08:32 PM (17 years, 7 months ago)

Hey fellow pubbers and shroomerites, if you could just take 10minutes out of your time and help me with this problem I will give 5 shrooms to you.

x = 6 cos , y = 7 sin , -/2 /2
(a) Eliminate the parameter to find a Cartesian equation of the curve.

1 =

(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. (Do this on paper. Your teacher may ask you to turn in this work.)


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OfflineKonnrade
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Re: Calculus [Re: TrancedShroom]
    #5705393 - 06/02/06 08:34 PM (17 years, 7 months ago)

I threw up a little in my mouth when I read the question :puke:


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I find your lack of faith disturbing


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Offlineinsectvhore
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Re: Calculus [Re: TrancedShroom]
    #5705429 - 06/02/06 08:45 PM (17 years, 7 months ago)

no idea. the most advanced math i know is that 2+2=5


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InvisiblePenguarky Tunguin
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Re: Calculus [Re: TrancedShroom]
    #5705538 - 06/02/06 09:21 PM (17 years, 7 months ago)

I'm having to re-learn the basics of algebra right now. Sorry bud.


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OfflineTrancedShroom
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Re: Calculus [Re: Penguarky Tunguin]
    #5705541 - 06/02/06 09:23 PM (17 years, 7 months ago)

Man I have taken this class already and the previous dumb-ass professor didn't go over this. He said he felt it was unneccessary for us the learn it. Dick!


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InvisibletrendalM
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Re: Calculus [Re: TrancedShroom]
    #5705553 - 06/02/06 09:25 PM (17 years, 7 months ago)

x = 6 cos , y = 7 sin , -/2 /2

That doesn't make any sense to me :shrug:

"cos" isn't a value, it's a function, so it should be written as "y = 6 cos(x)" or something similar. I think.

And what does the -/2 /2 mean?


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Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.


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OfflineeVil_
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Re: Calculus [Re: trendal]
    #5705559 - 06/02/06 09:28 PM (17 years, 7 months ago)

Quote:

trendal said:
x = 6 cos , y = 7 sin , -/2 /2

That doesn't make any sense to me :shrug:

"cos" isn't a value, it's a function, so it should be written as "y = 6 cos(x)" or something similar. I think.

And what does the -/2 /2 mean?




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OfflineTrancedShroom
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Re: Calculus [Re: trendal]
    #5705573 - 06/02/06 09:31 PM (17 years, 7 months ago)

ok it is x=cos(x) and y=sin(x). The limitation is x is greater than or equal to (-pie/2 ). I do not know what the other Pie/2 means.

X is really theta but I dont think my keyboard has that symbol.LOL

Hopefully that will help you Trendal


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InvisibleNoetical
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Registered: 11/28/04
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Re: Calculus [Re: trendal]
    #5705578 - 06/02/06 09:32 PM (17 years, 7 months ago)

I'm assuming the domain: -pie/2 , pie/2

I use to be able to do stuff like this in seconds but alas I haven't picked up a calculus text in three years


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InvisibleNoetical
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Re: Calculus [Re: TrancedShroom]
    #5705585 - 06/02/06 09:34 PM (17 years, 7 months ago)

fuck i think I remember how to do this give me a minute or two


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InvisibletrendalM
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Re: Calculus [Re: TrancedShroom]
    #5705588 - 06/02/06 09:34 PM (17 years, 7 months ago)

Ok so you mean:

x=6 cos(theta)
y=7 sin(theta)
theta >= -pi/2

??


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Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.


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InvisibleNoetical
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Re: Calculus [Re: TrancedShroom]
    #5705605 - 06/02/06 09:38 PM (17 years, 7 months ago)

fuck it

this is very familiar but i totally forget the process


Edited by Noetical (06/02/06 09:52 PM)


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OfflineeVil_
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Re: Calculus [Re: Noetical]
    #5705629 - 06/02/06 09:44 PM (17 years, 7 months ago)

x=6cos(t) ==> x/6 = cos(t)
y=7sin(t) ==> y/7 = sin(t)

cos^2(t) + sin^2(t) = 1;

x^2/36 + y^2/49 = 1 ? :shrug:


--------------------
It's great to be here. I thank you. Ah, I've been on the road doing comedy for ten years now, so bear with me while I plaster on a fake smile and plough through this shit one more time. - Bill Hicks

<Guest> has anyone ever heard of sprinklen a freshcow pattie w dust and hangin it from a tree in cheese cloth and watering it?


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InvisiblePenguarky Tunguin
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Re: Calculus [Re: eVil_]
    #5705664 - 06/02/06 09:56 PM (17 years, 7 months ago)

I seriously have a lot of respect for people who are experts at higher divisions of math.  :thumbup: 


I wish I had the ability.  :sad:


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Invisiblephalloidin

Registered: 07/03/04
Posts: 865
Re: Calculus [Re: eVil_]
    #5706086 - 06/02/06 11:51 PM (17 years, 7 months ago)

Quote:

eVil_ said:
x=6cos(t) ==> x/6 = cos(t)
y=7sin(t) ==> y/7 = sin(t)

cos^2(t) + sin^2(t) = 1;

x^2/36 + y^2/49 = 1 ? :shrug:




yeah that looks right.  Its an elipse with the center at the origin and the long axis vertical 7 units and the short axis horizontal 6 units.  I'm guessing the domain is supposed to be from -pi/2 to pi/2.
Plug those values into the original equation and find x and y for both values.  You get (0,-7) (0,7).  You need to figure out the orientation now.  Pick some value for theta within your domain (ie 0), plug it in and figure out x and y.  it comes out to (6,0).  So now you can sketch your curve.  starting at theta = -pi/2 to theta = pi/2, your curve goes counterclockwise from (0,-7) to (0,7)


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