- 4. Let C = C₁ U C₂, where C₁ is the semicircle x = √√4y – y² traced from (0,4) to (0,0) while is C₂ the line segment from (0,0) to (0,4). a) Use a line integral to find the area of the surface S := {(x,y,z) € R³ : (x,y) € C₁,0 ≤ 2 ≤ x²}. b) Use Green's Theorem to evaluate Sc xy dx − x²dy
- 4. Let C = C₁ U C₂, where C₁ is the semicircle x = √√4y – y² traced from (0,4) to (0,0) while is C₂ the line segment from (0,0) to (0,4). a) Use a line integral to find the area of the surface S := {(x,y,z) € R³ : (x,y) € C₁,0 ≤ 2 ≤ x²}. b) Use Green's Theorem to evaluate Sc xy dx − x²dy
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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