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February 1st, 2013, 08:10 PM  #1 
Member Joined: Jan 2013 Posts: 54 Thanks: 0  What is the highest point or points (largest y value) on the
I've played around with this a bit. Is it the points (0,5) and (3,5) right?

February 1st, 2013, 08:25 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs  Re: What is the highest point or points (largest y value) on
What is the function?

February 1st, 2013, 08:34 PM  #3 
Member Joined: Jan 2013 Posts: 54 Thanks: 0  Re: What is the highest point or points (largest y value) on
Oops , i wrote it wrong.. the curve 3sin x + 5cos y = 0. 
February 1st, 2013, 10:09 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs  Re: What is the highest point or points (largest y value) on
Are you given any more information, such as a point on the curve? This implicit relation has an infinitude of branches.

February 1st, 2013, 10:58 PM  #5 
Member Joined: Jan 2013 Posts: 54 Thanks: 0  Re: What is the highest point or points (largest y value) on
No. No points are given. I was wondering the same thing, but I know that the sin and cos graphs are bounded so the maximum y value can't be too high, right?

February 1st, 2013, 11:09 PM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs  Re: What is the highest point or points (largest y value) on
Is it supposed to be 3sin(x) + 5cos(x) = 0 instead?

February 1st, 2013, 11:59 PM  #7 
Member Joined: Jan 2013 Posts: 54 Thanks: 0  Re: What is the highest point or points (largest y value) on
It's deliberately y. Weird.

February 2nd, 2013, 12:02 AM  #8 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs  Re: What is the highest point or points (largest y value) on
Then there is no highest point, without knowing which branch to use.


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