Find the length of the curve (t) = (cos(t), sin(t), t) for -7≤t≤3 Give your answer to two decimal places Find the unit tangent vector to the curve defined by (t) = (5 cos(t), 5 sin(t), 2 sin²(t)) at t=π. Ť(T) = Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = π. x(t) y(t) z(t) = = =
Find the length of the curve (t) = (cos(t), sin(t), t) for -7≤t≤3 Give your answer to two decimal places Find the unit tangent vector to the curve defined by (t) = (5 cos(t), 5 sin(t), 2 sin²(t)) at t=π. Ť(T) = Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = π. x(t) y(t) z(t) = = =
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
100%
![Find the length of the curve (t) = (cos(t), sin(t), t) for -7≤t≤3
Give your answer to two decimal places](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F953e3ae3-1a36-4eca-a542-ddeb8c6ae72a%2F35d2f46a-2089-44d6-b0ae-b6d05f100e54%2Fzc74itr_processed.png&w=3840&q=75)
Transcribed Image Text:Find the length of the curve (t) = (cos(t), sin(t), t) for -7≤t≤3
Give your answer to two decimal places
![Find the unit tangent vector to the curve defined by
(t) = (5 cos(t), 5 sin(t), 2 sin²(t))
at t=π.
Ť(T) =
Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = π.
x(t)
y(t)
z(t) =
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F953e3ae3-1a36-4eca-a542-ddeb8c6ae72a%2F35d2f46a-2089-44d6-b0ae-b6d05f100e54%2F1bwibgaq_processed.png&w=3840&q=75)
Transcribed Image Text:Find the unit tangent vector to the curve defined by
(t) = (5 cos(t), 5 sin(t), 2 sin²(t))
at t=π.
Ť(T) =
Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = π.
x(t)
y(t)
z(t) =
=
=
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