Calculate ∫ 3xzdx + 4yzdy + 2xydz, from the point A(0,0,0) to the point B(1,1,2), along the paths: i) line segment AB ii) intersection of surfaces z = x2+y2 and y = x Then, compare the results.
Calculate ∫ 3xzdx + 4yzdy + 2xydz, from the point A(0,0,0) to the point B(1,1,2), along the paths: i) line segment AB ii) intersection of surfaces z = x2+y2 and y = x Then, compare the results.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 3CT
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Calculate ∫ 3xzdx + 4yzdy + 2xydz, from the point A(0,0,0) to the point B(1,1,2), along the paths:
i) line segment AB
ii) intersection of surfaces z = x2+y2 and y = x
Then, compare the results.
note: answer for (i) is 6, and (ii) is 11/2
i just dont know if they relate in some way
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