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%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,