P = a,10rsinØ + a¸2r²cosØ given asa) 6 P. dl Calculate around the KLMNK road in the figure in the direction indicated.Find the curl of the vector P.b)c) S(V× P). dS Calculate over the shaded area and calculate the result with the result you found in option a.compareYAMr1=1r2=8L'r2K

Sol(a.) For the area indicated KLMNK we will evaluate as follows: P=ar10rsinϕ+aϕ2r2cosϕ…

P = a,10rsinØ + a,2r²cosØ given as a) 6 P.dl' Calculate around the KLMNK road in the figure in the direction indicated. b) Find the curl of the vector P. c) S(V× P).dS Calculate over the shaded area and calculate the result with the result you found in option a. compare YA M r1=1 r2=8 L' r2 K

P = a,10rsinØ + a,2r²cosØ given as a) 6 P.dl' Calculate around the KLMNK road in the figure in the direction indicated. b) Find the curl of the vector P. c) S(V× P).dS Calculate over the shaded area and calculate the result with the result you found in option a. compare YA M r1=1 r2=8 L' r2 K

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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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

P = a,10rsinØ + a¸2r²cosØ given as
a) 6 P. dl Calculate around the KLMNK road in the figure in the direction indicated.
Find the curl of the vector P.
b)
c) S(V× P). dS Calculate over the shaded area and calculate the result with the result you found in option a.
compare
YA
M
r1=1
r2=8
L'
r2
K

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