Exercise. The position vector for the curve C in the (, y, z)-space is given by r (t) = (2t + 1, t² , 3t). Find values for the constants a and b so the curve C lies on the surface x2 – 4y + az = b or explain why no such constants exist. Are there values for a and b for which the curve lies on the surface? yes ? Check work no

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
icon
Related questions
Question
Exercise. The position vector for the curve C in the (, y, z)-space is given by r (t) = (2t + 1, t² , 3t). Find values for the constants a and b so the curve C lies on the
surface
x2 – 4y + az = b
or explain why no such constants exist.
Are there values for a and b for which the curve lies on the surface?
yes
? Check work
no
Transcribed Image Text:Exercise. The position vector for the curve C in the (, y, z)-space is given by r (t) = (2t + 1, t² , 3t). Find values for the constants a and b so the curve C lies on the surface x2 – 4y + az = b or explain why no such constants exist. Are there values for a and b for which the curve lies on the surface? yes ? Check work no
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,