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Let C be the curve of intersection of the spheres x2 + y2 + z2 = 27 and (x - 2)2 + (x 2) +
Let C be the curve of intersection of the spheres x2 + y2 + z2 = 27 and (x - 2)2 + (x 2) + 2 - 27. Find the parametric equations of the tangent line to C at P = (1, 1, 5). It is known that if the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) = 0 is a curve C and P is a point on C, then the vector v = VFp X VGp is a direction vector for the tangent line to C at P. (Use symbolic notation and fractions where needed. Enter your answers as functions of parameter f in a form r(1) = (x(1), y(1), z(1)) = ro + vi, where ro is the corresponding coordinate of point P. x(0 = y(1) = 2 (1 ) =
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