Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordinates I,y, z, and a point p: y= (sin 6, cos C,C), (1) f =z² - y² +z², (2) (3) p= (0,1,0). ompute df /dC along y. Evaluate it numerically at p.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordinates
I, y, z, and a point p:
y = (sin(, cos (, C),
f =z² - y² + z² ,
p= (0,1,0) .
(1)
(2)
(3)
(a Compute df /dC along y. Evaluate it numerically at p.
b Find the components of the tangent vector d/d to y at p, in the basis (a, Oy,0,).
Transcribed Image Text:Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordinates I, y, z, and a point p: y = (sin(, cos (, C), f =z² - y² + z² , p= (0,1,0) . (1) (2) (3) (a Compute df /dC along y. Evaluate it numerically at p. b Find the components of the tangent vector d/d to y at p, in the basis (a, Oy,0,).
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage