Find a vector function, r ( t ), that represents the curve of intersection of th

Question

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy x2 + y2 = 81 z = xy

Explanation / Answer

(x+y)^2 - 2xy =81

(x+y)^2 - 2z = 81

2z = x^2 + y^2 + 2xy -81

So r(t) : x^2 + y^2 + 2xy -81 -2z =0

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