Evaluate F-dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x,y) = ye*i + xeXVj (a) C₁: r₁(t)=ti-(t-9)j, 0 st≤ 9 (b) C₂: the closed path consisting of line segments from (0, 9) to (0, 0), from (0, 0) to (9, 0), and then from (9, 0) to (0, 9)
Evaluate F-dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x,y) = ye*i + xeXVj (a) C₁: r₁(t)=ti-(t-9)j, 0 st≤ 9 (b) C₂: the closed path consisting of line segments from (0, 9) to (0, 0), from (0, 0) to (9, 0), and then from (9, 0) to (0, 9)
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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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![Evaluate F-dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
F(x,y) = ye*i + xeXVj
(a) C₁: r₁(t)=ti-(t-9)j, 0 st≤ 9
(b) C₂: the closed path consisting of line segments from (0, 9) to (0, 0), from (0, 0) to (9, 0), and then from (9, 0) to (0, 9)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0173ae4a-f818-4066-928f-524ba56e15bc%2Fa09a5ed0-e64b-472c-9d49-21849cb7a522%2Fz0tghwb_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate F-dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
F(x,y) = ye*i + xeXVj
(a) C₁: r₁(t)=ti-(t-9)j, 0 st≤ 9
(b) C₂: the closed path consisting of line segments from (0, 9) to (0, 0), from (0, 0) to (9, 0), and then from (9, 0) to (0, 9)
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