Spherical Coordinates Conversion and Region Analysis

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The discussion revolves around converting a surface defined by the equation ρ = sin(φ)cos(θ)/a + sin(φ)sin(θ)/b + cos(φ)/c and analyzing the region where this equation equals 1. Participants are trying to determine the range for ρ, noting that it cannot be less than 0 and that its maximum value is 1. There is a request for clarification on how to derive the maximum value of 1 from the given equation. The conversation highlights the challenges faced in spherical coordinates conversion and region analysis.
moneyjane
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After converting a surface over the region that \rho=sin\phicos\theta/a + sin\phisin\theta/b + cos\phi/c
I also have that this region is equal to 1.

I can't seem to get anywhere..
 
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moneyjane said:
After converting a surface over the region that \rho=sin\phicos\theta/a + sin\phisin\theta/b + cos\phi/c
I also have that this region is equal to 1.

I can't seem to get anywhere..

And your question is?
 
haha sorry. i meant to ask how would i get the range for p.
 
Well, \rho can't be less than 0. What is the maximum value of \rho?
 
the max is one.
 
Moneyjane,

Could you show your work to get to the maximum of 1 ?

Thanks
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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