(IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 cos (t), sin when t = n. x = ( )t+ y = ( )t+, z = ( )t+, (V) We know that an associated parametric curve is a circle centered at the origin if r (t) - v (t) = 0 for all values of t, and the curve lies in some plane. [You do not need to show the planar part, but it is easy to do.] Show that this is true for: r (t) = (3 cos (t), 2 cos (t), V13 sin (t) ), 0
(IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 cos (t), sin when t = n. x = ( )t+ y = ( )t+, z = ( )t+, (V) We know that an associated parametric curve is a circle centered at the origin if r (t) - v (t) = 0 for all values of t, and the curve lies in some plane. [You do not need to show the planar part, but it is easy to do.] Show that this is true for: r (t) = (3 cos (t), 2 cos (t), V13 sin (t) ), 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
Related questions
Question
![(IV)
Give the standard form for the 3D TANGENT LINE to the associated curve:
r (t) = ( 2 sin (t), 3 cos (t), sin
when t = T.
x = (
)t+
y = (
)t+
z = (
)t+
(V)
We know that an associated parametric curve is a circle centered at the origin if
r (t) · v (t) = 0 for all values of t, and the curve lies in some plane.
[You do not need to show the planar part, but it is easy to do.]
Show that this is true for:
r (t) =
3 cos (t), 2 cos (t), V13 sin (t)), 0 <t< 27
ALSO, determine the radius of the circle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8899da1-90ac-4c1c-b86a-2d17b7ef20f6%2Ffa48b624-cb0d-4c88-972b-2025f7364972%2F00itkef_processed.png&w=3840&q=75)
Transcribed Image Text:(IV)
Give the standard form for the 3D TANGENT LINE to the associated curve:
r (t) = ( 2 sin (t), 3 cos (t), sin
when t = T.
x = (
)t+
y = (
)t+
z = (
)t+
(V)
We know that an associated parametric curve is a circle centered at the origin if
r (t) · v (t) = 0 for all values of t, and the curve lies in some plane.
[You do not need to show the planar part, but it is easy to do.]
Show that this is true for:
r (t) =
3 cos (t), 2 cos (t), V13 sin (t)), 0 <t< 27
ALSO, determine the radius of the circle.
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