Set up, but da

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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Please solve both part's
(a) Set up, but do not evaluate, an integral to compute: the mass of a wire following a
semi-circular path of radius
through (3,0, –2) to (3, –2, 0), with density given by 5(x, Y, z) = x² + y² + Vz² + 1?
contained in the x = 3 plane, which goes from (3, 2, 0)
(b) Let C be the curve y = x² from (0, 0) to (1, 1).
%3D
Compute the line integral of the vector field F(x, y) = (xy, –a²).
Transcribed Image Text:(a) Set up, but do not evaluate, an integral to compute: the mass of a wire following a semi-circular path of radius through (3,0, –2) to (3, –2, 0), with density given by 5(x, Y, z) = x² + y² + Vz² + 1? contained in the x = 3 plane, which goes from (3, 2, 0) (b) Let C be the curve y = x² from (0, 0) to (1, 1). %3D Compute the line integral of the vector field F(x, y) = (xy, –a²).
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