Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1). The field is F (x, y) = (2y, x). Hint: You get the impression that the value of this line integral is going to positive! F· dr =???

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and
ending at (1, 1). The field is F (x, y) = (2y, x).
Hint: You get the impression that the value of this line integral is going to positive!
F· dr =???
2.0
2.0
y
y
1.5
1.5
1.0
1.0
オオ オ
0.5 +
0.5
1 1 1 11
アイ
イ
1
0.0 + At H
0.5
1.0
+
0.0 -
0.0
0.5
1.0
1.5
2.0
0.0
1.5
2.0
X
X
Transcribed Image Text:Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1). The field is F (x, y) = (2y, x). Hint: You get the impression that the value of this line integral is going to positive! F· dr =??? 2.0 2.0 y y 1.5 1.5 1.0 1.0 オオ オ 0.5 + 0.5 1 1 1 11 アイ イ 1 0.0 + At H 0.5 1.0 + 0.0 - 0.0 0.5 1.0 1.5 2.0 0.0 1.5 2.0 X X
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