(b) Calculate fa F · dr, where C2 is the dotted line segment starting at (1,-1) and ending at (1, 1). Show your work, and circle your final answer. (Note: This exercise refers back to the vector field F and the figure on the previous page.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 4P: 1-6 Sketch the vector field F by drawing a diagram as in figure 3. F(x,y)=(xy)i+xj
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Part B, please. 

3. Let F(x, y) = x²e" i+ 60x²y² 3, and let C1 denote the curve consisting
of the line segment from (0, 0) to (1, 1), followed by the arc of the circle
x2 + y? = 2 from (1,1) to (1, –1), followed by the line segment from
(1, –1) to (0,0) (see figure to the right).
>(1, 1)
(0, 0)
(a) Calculate Sa F · dr. Show your work, and circle your final answer.
»(1, –1)
Transcribed Image Text:3. Let F(x, y) = x²e" i+ 60x²y² 3, and let C1 denote the curve consisting of the line segment from (0, 0) to (1, 1), followed by the arc of the circle x2 + y? = 2 from (1,1) to (1, –1), followed by the line segment from (1, –1) to (0,0) (see figure to the right). >(1, 1) (0, 0) (a) Calculate Sa F · dr. Show your work, and circle your final answer. »(1, –1)
(b) Calculate fa F • dĩ, where C2 is the dotted line segment starting at (1, –1) and ending at (1, 1). Show
your work, and circle your final answer.
(Note: This exercise refers back to the vector field F and the figure on the previous page.)
Transcribed Image Text:(b) Calculate fa F • dĩ, where C2 is the dotted line segment starting at (1, –1) and ending at (1, 1). Show your work, and circle your final answer. (Note: This exercise refers back to the vector field F and the figure on the previous page.)
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