find a function r(t) that describess the curve where the following surfaces intersect. answere are not unique x^2 y^2

Complete Question

find a vector function that represents the curve of intersection of the two surfaces. The cylinder   an the surface

The function is  

Step-by-step explanation:

From the question we are told that

   The equation of the cylinder is  

   The equation of the surface is  z = xy

Generally the general form of this  function is  

Generally to confirm the RHS and the LHS of the equation for the cylinder

Let take x (t) =  6cos(t)

and        y(t) = 6sin (t)

So

=>    

=>          

Generally  

So

So at  x (t) =  6cos(t) and  y(t) = 6sin (t) the RHS is equal to LHS

  So

=>    

So the function is  

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step-by-step explanation:

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