Evaluate the line integral (x-3y²) ds where C is the straight line segment from (0, 1, 1) to (3,-2,2), and assign the result to q3. . A piece of wire is in the shape of the circle x² + y² = 1. The density at any point is given by f(x, y) = x² + 14. Find the mass of the wire using a line integral and assign the result to q4. Evaluate the line integral z dx + xyz dy + xy dz where C is the top half of y²+2² = 4 in the plane x = 2 traveling from left to right (negative y to positive y ). Assign the resul to a5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the line integral (x-3y²) ds where C is the straight line segment from (0, 1, 1) to (3,-2,2), and assign the result to q3.
. A piece of wire is in the shape of the circle x² + y² = 1. The density at any point is given by f(x, y) = x² + 14. Find the mass of the wire using a line integral
and assign the result to q4.
Evaluate the line integral z dx + xyz dy + xy dz where C is the top half of y²+2² = 4 in the plane x = 2 traveling from left to right (negative y to positive y
). Assign the resul to a5.
Transcribed Image Text:Evaluate the line integral (x-3y²) ds where C is the straight line segment from (0, 1, 1) to (3,-2,2), and assign the result to q3. . A piece of wire is in the shape of the circle x² + y² = 1. The density at any point is given by f(x, y) = x² + 14. Find the mass of the wire using a line integral and assign the result to q4. Evaluate the line integral z dx + xyz dy + xy dz where C is the top half of y²+2² = 4 in the plane x = 2 traveling from left to right (negative y to positive y ). Assign the resul to a5.
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