- Find the area enclosed by the curve a'x = y'(2a-y)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Question Number (2)
a) Find the area enclosed by the curve a'x' = y'(2a-y)
b) Evaluate the integral /= f(4x + y)dx + (3x-2y)dy} where c is the boundary of the trapezium
with vertices (0, 1), (5, 1), (3, 3) and (1, 3) using:
i. Green's théorem
ii. Line integral
c) Express the triple integral I= ff(drdydzin terms of u, v, w using the transformation
equations where x-utv+w, y=v*w, and z-u-w
d) Find by double integration the area of the smaller region bounded by x' +y =9 and x+y= 3
Transcribed Image Text:Question Number (2) a) Find the area enclosed by the curve a'x' = y'(2a-y) b) Evaluate the integral /= f(4x + y)dx + (3x-2y)dy} where c is the boundary of the trapezium with vertices (0, 1), (5, 1), (3, 3) and (1, 3) using: i. Green's théorem ii. Line integral c) Express the triple integral I= ff(drdydzin terms of u, v, w using the transformation equations where x-utv+w, y=v*w, and z-u-w d) Find by double integration the area of the smaller region bounded by x' +y =9 and x+y= 3
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