The field F = xyi+yj - yzk is the velocity field of a flow in space. Find the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y=x² and the plane z = x. (Hint: Use t=x as the parameter.) C For F = xyi+yj - yzk, the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y = x² and the plane z = x is (Simplify your answer.) Z=X (7,49,7) y=x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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The field F = xyi+yj - yzk is the velocity field of a flow in space. Find the flow from (0,0,0) to (7,49,7) along the curve of
intersection of the cylinder y=x² and the plane z = x. (Hint: Use t= x as the parameter.)
(...)
For F = xyi+yj - yzk, the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y = x² and the plane z = x is
(Simplify your answer.)
Z=X
(7,49,7)
y=x²
Transcribed Image Text:The field F = xyi+yj - yzk is the velocity field of a flow in space. Find the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y=x² and the plane z = x. (Hint: Use t= x as the parameter.) (...) For F = xyi+yj - yzk, the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y = x² and the plane z = x is (Simplify your answer.) Z=X (7,49,7) y=x²
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