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48. Evaluate the surface integral. [12xz ds S is the part of the plane 2x +2y+z=4 that lies in the first octant. a. 1-48 b.1-53 c./ -83 d. 1-73 c. 1-63

48. Evaluate the surface integral. [12xz ds S is the part of the plane 2x +2y+z=4 that lies in the first octant. a. 1-48 b.1-53 c./ -83 d. 1-73 c. 1-63

Advanced Engineering Mathematics
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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Question
#48
S is the part of the plane 2x +2y+z=4 that lies in the first octant. 47. Find the area of the surface. The part of the plane r(u, v) = (Su +4y+6)i + (3u + 3y + 8)j + (2x+3v+6)k; 0≤us 6,0svs4 a. 24√67 b. √22 c. √√34 C. d. √√38 48. Evaluate the surface integral. 12xz ds a. I-48 b. 1=53 c. I-83 d. I-73 e. 163 49. Evaluate the surface integral where S is the surface with parametric equations x=7uv, y=6(u+v), z= 6(u-v), u²+v² 53. [10yz ds. a./=0 b. /-3 c./ = 10 +3m d./- 10m c./ = 10 + 7x [ Copyright Cengage Learning Powered by Cognero X Page 17
Transcribed Image Text:S is the part of the plane 2x +2y+z=4 that lies in the first octant. 47. Find the area of the surface. The part of the plane r(u, v) = (Su +4y+6)i + (3u + 3y + 8)j + (2x+3v+6)k; 0≤us 6,0svs4 a. 24√67 b. √22 c. √√34 C. d. √√38 48. Evaluate the surface integral. 12xz ds a. I-48 b. 1=53 c. I-83 d. I-73 e. 163 49. Evaluate the surface integral where S is the surface with parametric equations x=7uv, y=6(u+v), z= 6(u-v), u²+v² 53. [10yz ds. a./=0 b. /-3 c./ = 10 +3m d./- 10m c./ = 10 + 7x [ Copyright Cengage Learning Powered by Cognero X Page 17
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