1. (a)Find the point of intersection between the curver(t) = (cos(nt), sin(at), t2)and the sphere r+ y² + 2² = 17.(b).Find parametric equations of the tangent line to the curve at the point in part (a).(cHthe point of intersection from part (a).Find the equation of the plane perpendicular to the line from part (b) which contains

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Answered: (a) Find the point of intersection…

(a) Find the point of intersection between the curv urve r(t) = (cos(at), sin(at), t²) and the sphere r² + y? + 22 = 17.

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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Question

1. (a)
Find the point of intersection between the curve
r(t) = (cos(nt), sin(at), t2)
and the sphere r+ y² + 2² = 17.
(b).
Find parametric equations of the tangent line to the curve at the point in part (a).
(cH
the point of intersection from part (a).
Find the equation of the plane perpendicular to the line from part (b) which contains

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