(1, 0, 1) (0, 0, 0) (1, 0, 0) (1, 1, 1) (a) Find a piecewise smooth parametrization of the path C shown in the figure. r(t) = (1, 0, 0) 0sts 1 (0, 0, 0) to (1, 0, 0) r(t) = (1,0, t) 0sts 1 (1, 0, 0) to (1, 0, 1) r(t) = (1, 1, 1) 0sts 1 (1, 0, 1) to (1, 1, 1) (b) Evaluate ² √ (8x + y² − 2) ds. 18.83 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Question
Consider the following.
1-
(1, 0, 1)
CA
(0, 0, 0)
(1, 0, 0),
(1, 1, 1)
(a) Find a piecewise smooth parametrization of the path C shown in the figure.
r(t) =
(1, 0, 0)
0 ≤t≤ 1
(0, 0, 0) to (1, 0, 0)
r(t) =
(1, 0, t)
0 st≤ 1
(1, 0, 0) to (1, 0, 1)
r(t) =
(1, 1, 1)
0 ≤t≤1
(1, 0, 1) to (1, 1, 1)
(b) Evaluate
² √ (8x + y² − 2) ds.
18.83
X
Transcribed Image Text:Consider the following. 1- (1, 0, 1) CA (0, 0, 0) (1, 0, 0), (1, 1, 1) (a) Find a piecewise smooth parametrization of the path C shown in the figure. r(t) = (1, 0, 0) 0 ≤t≤ 1 (0, 0, 0) to (1, 0, 0) r(t) = (1, 0, t) 0 st≤ 1 (1, 0, 0) to (1, 0, 1) r(t) = (1, 1, 1) 0 ≤t≤1 (1, 0, 1) to (1, 1, 1) (b) Evaluate ² √ (8x + y² − 2) ds. 18.83 X
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