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Let C be the curve of intersection of the spheres x2 + y² + z? = 6 and (x – 2)? + (y – 2)? + z? = 6. Find the parametric equations of the tangent line to C at P = (1, 1,2). 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 × 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 t in a form r(t) = (x(t), y(t), z(t)) = ro + vt, where ro is the corresponding coordinate of point P.) x(t) = y(t) = z(t) =

Let C be the curve of intersection of the spheres x2 + y² + z? = 6 and (x – 2)? + (y – 2)? + z? = 6. Find the parametric equations of the tangent line to C at P = (1, 1,2). 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 × 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 t in a form r(t) = (x(t), y(t), z(t)) = ro + vt, where ro is the corresponding coordinate of point P.) x(t) = y(t) = z(t) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let C be the curve of intersection of the spheres x2 + y² + z? = 6 and (x – 2)? + (y – 2)? + z? = 6. Find the parametric equations of the tangent line to C at P = (1, 1,2). 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 × 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 t in a form r(t) = (x(t), y(t), z(t)) = ro + vt, where ro is the corresponding coordinate of point P.) x(t) = y(t) = z(t) =
Transcribed Image Text:Let C be the curve of intersection of the spheres x2 + y² + z? = 6 and (x – 2)? + (y – 2)? + z? = 6. Find the parametric equations of the tangent line to C at P = (1, 1,2). 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 × 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 t in a form r(t) = (x(t), y(t), z(t)) = ro + vt, where ro is the corresponding coordinate of point P.) x(t) = y(t) = z(t) =
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