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Vampire
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Help with basic multivariable problem. [SOLVED]
Two surfaces intersect at a space curve C.
The two surfaces are 4y2 + 9z2 = 36 and x = 2y2 - 3z2
Find a vector parametrization for C. (r(t) = ( f(t) , g(t) , h(t) )
Find a set of values for the parameter t over which C is traced once.
None needed.
I've solved for a vector curve r(t) = ( t , [tex]\sqrt{3t/10+36/10}[/tex], [tex]\sqrt{2t/15-36/15}[/tex])
I used x=t and solved the rest, but I'm not sure that it even correct. Additionally, I have no idea how I will find bounds for exactly one trace of C.
Homework Statement
Two surfaces intersect at a space curve C.
The two surfaces are 4y2 + 9z2 = 36 and x = 2y2 - 3z2
Find a vector parametrization for C. (r(t) = ( f(t) , g(t) , h(t) )
Find a set of values for the parameter t over which C is traced once.
Homework Equations
None needed.
The Attempt at a Solution
I've solved for a vector curve r(t) = ( t , [tex]\sqrt{3t/10+36/10}[/tex], [tex]\sqrt{2t/15-36/15}[/tex])
I used x=t and solved the rest, but I'm not sure that it even correct. Additionally, I have no idea how I will find bounds for exactly one trace of C.
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