Halp! Ajudame!
There's 2 that are giving me problems, actually. I keep getting funky answers.
Find the area of the largest rectangle that can be inscribed in the ellipse x^2/a^2 + y^2/b^2 = 1. I keep getting 0 and I just redid it and got 1
A coneshaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector adn joining the edges CA and CB. Find the max capacity of such a cup. ((The drawing looks like a sideways Pacman with the corner of his mouth C and the upper lip A and lower lip B XD))
9 Replies  792 Views  Last Post: 02 June 2009  11:58 AM
Replies To: Optimization Problems
#2
Re: Optimization Problems
Posted 01 June 2009  09:45 AM
Still solving..
haven't solved these since January.
haven't solved these since January.
#4
Re: Optimization Problems
Posted 01 June 2009  09:59 AM
Found the first one in last year's notes and copied from there
Check Attachment
Now, just find y.
I'll do the second problem later.
YOU CAN'T RUIN MY HOLIDAYS FOR THAT!!
Check Attachment
Now, just find y.
I'll do the second problem later.
YOU CAN'T RUIN MY HOLIDAYS FOR THAT!!
Attached image(s)
#5
Re: Optimization Problems
Posted 01 June 2009  10:03 AM
Thanks I tried it 3 different ways. <3 Now hows about the cup?
#6
Re: Optimization Problems
Posted 01 June 2009  01:44 PM
It's 2 AM here.
I'll do that tomorrow morning.
It's easier then the first one.. I think.. but I'm feeling sleepy now.
I'll do that tomorrow morning.
It's easier then the first one.. I think.. but I'm feeling sleepy now.
#7
Re: Optimization Problems
Posted 02 June 2009  06:14 AM
Thanks. I got x = Sqrt(a^2/2) <3 awesome. See, I started by getting the common denominator. I think they were just algebra mistakes. :\ 4th times the charm, eh?
#8
Re: Optimization Problems
Posted 02 June 2009  10:50 AM
Now, the second one.
This was one tricky problem. I was wondering since today morning that how the hell could anyone create a drinking cup from a sector.
I figured out it was the remaining circular part that was being used.
here R(as given in the question) = x
Now just put the values and differentiate the equation.
#9
Re: Optimization Problems
Posted 02 June 2009  11:13 AM
OMG, I got it wrong!!
Here's the correction..
The first equation shold be
2*(pi)*r = 2*(pi)*x  (theta)*x
Now, put the value of r in the below solution accordingly.
And since I'm watching Star Wars series again these days..
May the Force be with you..
Here's the correction..
The first equation shold be
2*(pi)*r = 2*(pi)*x  (theta)*x
Now, put the value of r in the below solution accordingly.
And since I'm watching Star Wars series again these days..
May the Force be with you..
#10
Re: Optimization Problems
Posted 02 June 2009  11:58 AM
Thanks. I got something totally janky.
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