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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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,).
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