Consider the following functions. F(x, y) = ex-¹1 + xyj r(t) = t¹i+t5j (a) Evaluate the line integral 5 14 y 2.0 (b) Illustrate part (a) by graphing C and the vectors from the vector field corresponding to t = 0, √2' 1.5 1.0 0.5 y 2.0 1 e 1.5 X F F. dr, where C is given by r(t), 0 sts 1. 0.5 1.0 1.5 2.0 2.0 1.5 V 1.0 0.5 X y 0.5 an and 1. 1.0 1.5 2.0 X y 2.0 1.5 1.0 0.5 0.5 1.0 1.5 2.0 X G
Consider the following functions. F(x, y) = ex-¹1 + xyj r(t) = t¹i+t5j (a) Evaluate the line integral 5 14 y 2.0 (b) Illustrate part (a) by graphing C and the vectors from the vector field corresponding to t = 0, √2' 1.5 1.0 0.5 y 2.0 1 e 1.5 X F F. dr, where C is given by r(t), 0 sts 1. 0.5 1.0 1.5 2.0 2.0 1.5 V 1.0 0.5 X y 0.5 an and 1. 1.0 1.5 2.0 X y 2.0 1.5 1.0 0.5 0.5 1.0 1.5 2.0 X G
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following functions.
F(x, y) = ex-¹i + xyj
r(t) = tªi + t5j
(a) Evaluate the line integral
5
14
y
2.0
1.5
(b) Illustrate part (a) by graphing C and the vectors from the vector field corresponding to t = 0,
1.0
0.5
y
2.0
1
1.5
e
X
Jo
F. dr, where C is given by r(t), 0 ≤ t ≤ 1.
0.5
1.0
1.5
2.0
X
O
y
2.0
1.5
1.0
0.5
0.5
1.0
1
and 1.
1.5
2.0
X
y
2.0
1.5
1.0
0.5
0.5
1.0
1.5
2.0
X
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