March 15th, 2014, 04:53 AM  #1 
Newbie Joined: Jun 2013 Posts: 10 Thanks: 0  Analytic Geometry
how to sketch a ellipse(x^2/25+y^2/9=1) according to scale using computer? Pls help me. Thx 
March 15th, 2014, 07:46 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,599 Thanks: 2587 Math Focus: Mainly analysis and algebra  Re: Analytic Geometry
Why do you specify the use of a computer? Is it not easy to sketch that equation by hand? You know roughly what an ellipse looks like. By setting and solving for y you will find the intercepts with the yaxis. Setting and solving for x will give you the intercepts with the xaxis. If you need further information, you can differentiate with respect to x, which will allow you, for any point on the x,yplane, to determine the gradient of the solution at that point (assuming that a solution exists there). Marking a few of these gradients will allow you to draw a pretty accurate solution. This is plotting the gradient field of the function and an example can be seen here http://upload.wikimedia.org/wikipedi...lfield.svg.png. If you definitely need to use a computer, you should perhaps work at finding a parametric expression of the equation so that A computer can then plot lots of points and join them up. All you have to do is decided what interval of is appropriate, and how many points to plot in that interval. When you have that much, you'll be able to find lots of websites that will do the plotting for you. 
March 15th, 2014, 11:19 AM  #3  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,955 Thanks: 988  Re: Analytic Geometry Quote:
 
March 15th, 2014, 11:51 AM  #4  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Analytic Geometry Quote:
x^2/25+y^2/9=1 where x=5 to 5, y=3 to 3 produces: http://www.wolframalpha.com/input/?i...2C+y%3D3+to+3 edit: for some reason URLs are no longer parsing as such. Copy and paste the link between the tags into your browser.  
March 15th, 2014, 07:26 PM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,599 Thanks: 2587 Math Focus: Mainly analysis and algebra  Re: Analytic Geometry
While your post is completely accurate, I have my doubts as to the amount of mathematics the OP will learn from it. 
March 17th, 2014, 06:39 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,281 Thanks: 1965 
When posting a link containing the "^" symbol, replace each occurrence of that symbol with "%5E".

June 14th, 2014, 08:03 AM  #7 
Banned Camp Joined: Feb 2013 Posts: 224 Thanks: 6  Hard or Easy?
I can give you an easy answer and a hard answer. Easy: Pop it in GeoGebra. Hard: Understand what an ellipse is. https://www.flickr.com/photos/859374...57638166084655 Reward for doing it the hard way. https://www.flickr.com/photos/859374...57638166084655 https://www.flickr.com/photos/859374...57638166084655 

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