[3.93/5.26 Points] Consider the following. DETAILS MY NOTES LARCALC12 15.2.015. PRE C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1) (a) Find a piecewise smooth parametrization of the path C. (0, 0) to (1, 0) r(t) = ti 0 ≤t ≤1 (1, 0) to (0, 1) r(t) = (2 − t)i + (t − 1 )j 1 ≤ t≤ 2 (0, 1) to (0, 0) r(t) = - (3 − t)j 2 ≤t ≤ 3 (b) Evaluate (x + 8√y) ds.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
Question
[3.93/5.26 Points]
Consider the following.
DETAILS
MY NOTES
LARCALC12 15.2.015.
PRE
C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1)
(a) Find a piecewise smooth parametrization of the path C.
(0, 0) to (1, 0)
r(t) = ti
0 ≤t ≤1
(1, 0) to (0, 1)
r(t) =
(2 − t)i + (t − 1 )j
1 ≤ t≤ 2
(0, 1) to (0, 0)
r(t) =
-
(3 − t)j
2 ≤t ≤ 3
(b) Evaluate
(x + 8√y) ds.
Transcribed Image Text:[3.93/5.26 Points] Consider the following. DETAILS MY NOTES LARCALC12 15.2.015. PRE C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1) (a) Find a piecewise smooth parametrization of the path C. (0, 0) to (1, 0) r(t) = ti 0 ≤t ≤1 (1, 0) to (0, 1) r(t) = (2 − t)i + (t − 1 )j 1 ≤ t≤ 2 (0, 1) to (0, 0) r(t) = - (3 − t)j 2 ≤t ≤ 3 (b) Evaluate (x + 8√y) ds.
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