Let C be the curve of intersection of the spheres x² + y² + z² = 83 and (x - 2)² + (y-2)² + z² = 83. Find the parametric equations of the tangent line to C at P = (1, 1,9). 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 = VFpx 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.)
Let C be the curve of intersection of the spheres x² + y² + z² = 83 and (x - 2)² + (y-2)² + z² = 83. Find the parametric equations of the tangent line to C at P = (1, 1,9). 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 = VFpx 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.)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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![Let C be the curve of intersection of the spheres x² + y² + z² = 83 and (x - 2)² + (y-2)² + z² = 83. Find the parametric
equations of the tangent line to C at P = (1, 1,9).
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 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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faccc7427-2c55-44a5-b68e-19581b7568be%2Fc21f5813-8326-4e51-a801-484c7bf26d62%2Fweq8rzh_processed.png&w=3840&q=75)
Transcribed Image Text:Let C be the curve of intersection of the spheres x² + y² + z² = 83 and (x - 2)² + (y-2)² + z² = 83. Find the parametric
equations of the tangent line to C at P = (1, 1,9).
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 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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