8. Given the space curve C as the image of the vector valued function r(t) = 2ti+t³j+-t-¹ k OR r(t) = (cos(t), sin(t), t) compute both the unit normal vector T(t) and the unit normal vector N(t). Furthermore, use the formula T'(t)| _ \r'(t) ×r"(t)| r' (t) ³ r(t) to compute its curvature. K=
8. Given the space curve C as the image of the vector valued function r(t) = 2ti+t³j+-t-¹ k OR r(t) = (cos(t), sin(t), t) compute both the unit normal vector T(t) and the unit normal vector N(t). Furthermore, use the formula T'(t)| _ \r'(t) ×r"(t)| r' (t) ³ r(t) to compute its curvature. K=
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.
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![8. Given the space curve C as the image of the vector valued function
OR
r(t) = 2ti+t³j+-t-¹ k
3
r(t) = (cos(t), sin(t), t)
compute both the unit normal vector T(t) and the unit normal vector N(t). Furthermore, use the formula
T'(t)| __ \r' (t) × r"(t)|
r' (t) ³
=
r' (t)
to compute its curvature.
K=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd285342-6d44-4465-a8e0-815a2c12e9bc%2F80a727f5-cc98-41eb-8818-c82d19d013ce%2Fn0krglw_processed.png&w=3840&q=75)
Transcribed Image Text:8. Given the space curve C as the image of the vector valued function
OR
r(t) = 2ti+t³j+-t-¹ k
3
r(t) = (cos(t), sin(t), t)
compute both the unit normal vector T(t) and the unit normal vector N(t). Furthermore, use the formula
T'(t)| __ \r' (t) × r"(t)|
r' (t) ³
=
r' (t)
to compute its curvature.
K=
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