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Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C (Type an integer or a simplified fraction.)

Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C (Type an integer or a simplified fraction.)

Calculus For The Life Sciences
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.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 1E
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Evaluate S xy dx + (x + y)dy along the curve y = x² from (-1,1) to (2,4). Sxy dx + ( с (Type an integer or a simplified fraction.) xy dx + (x + y)dy = ...
Transcribed Image Text:Evaluate S xy dx + (x + y)dy along the curve y = x² from (-1,1) to (2,4). Sxy dx + ( с (Type an integer or a simplified fraction.) xy dx + (x + y)dy = ...
Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
Transcribed Image Text:Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
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