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Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0

Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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rbar = [x, x.^2, z];
F = [x + (x.*y), y.*z, 0];
q7=-int(int(simplify(dot(subs(F,[x,y,z],rbar),cross(diff(rbar,x),diff(rbar,z)))),x,-2,3),z,0,5)
 
  • Error using horzcat Dimensions of arrays being concatenated are not consistent. Error in solution (line 10) F = [x + (x.*y), y.*z, 0]
     

 
Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0<z≤5 with orientation in the negative y direction. If F(x, y, z) = xî + xyj + yz describes the flow of a fluid, find the rate of flow of F through Σ in the direction of orientation. Assign the result to q7.
Transcribed Image Text:Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0<z≤5 with orientation in the negative y direction. If F(x, y, z) = xî + xyj + yz describes the flow of a fluid, find the rate of flow of F through Σ in the direction of orientation. Assign the result to q7.
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