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1) Evaluate the integral SRW (x,y,z)dV with W= e*-y-z where R is a rectangular box with corners at (0,0,0), (5,0,0), (0,3,0) and (0,0,3).

1) Evaluate the integral SRW (x,y,z)dV with W= e*-y-z where R is a rectangular box with corners at (0,0,0), (5,0,0), (0,3,0) and (0,0,3).

Elements Of Modern Algebra
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 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Problem 1: 1) Evaluate the integral JJ RW (x,y,z)dV with W= e*y² where R is a rectangular box with corners at (0,0,0), (5,0,0), (0,3,0) and (0,0,3). 2) Choose the following value to each integral: I) SSR f dV with f= x²+y²+z² et R is a region defined by 0<r<4,t/4<0<3n/4,-1<z<1 II) SSR£ dV with f=sino et R is a region defined by 0<0<2n,0<¢<T/4,1<p<2 III) SSSR f dV with f=1/(x²+y²+z?)2 and R corresponds to the lower half of a sphere with a radius of 5 centered at the origin. IV) R f dV with f=sin(x²+y³) and R is a solid cylinder of height 4 with a base of radius 1 centered on the z axis at z=-1 a) 2.092 b) 78.540 c) 5.777 d) 209.439
Transcribed Image Text:Problem 1: 1) Evaluate the integral JJ RW (x,y,z)dV with W= e*y² where R is a rectangular box with corners at (0,0,0), (5,0,0), (0,3,0) and (0,0,3). 2) Choose the following value to each integral: I) SSR f dV with f= x²+y²+z² et R is a region defined by 0<r<4,t/4<0<3n/4,-1<z<1 II) SSR£ dV with f=sino et R is a region defined by 0<0<2n,0<¢<T/4,1<p<2 III) SSSR f dV with f=1/(x²+y²+z?)2 and R corresponds to the lower half of a sphere with a radius of 5 centered at the origin. IV) R f dV with f=sin(x²+y³) and R is a solid cylinder of height 4 with a base of radius 1 centered on the z axis at z=-1 a) 2.092 b) 78.540 c) 5.777 d) 209.439
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