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47. Find the area of the surface. The part of the plane r(u, v) = (5u + 4v + 6)i + (3u + 3v + 8)j + (2u + 3v + 6)k; 0 ≤u≤ 6, 0≤vs4 a. 24√67 b. √√22 c.√√34 d. √√38

47. Find the area of the surface. The part of the plane r(u, v) = (5u + 4v + 6)i + (3u + 3v + 8)j + (2u + 3v + 6)k; 0 ≤u≤ 6, 0≤vs4 a. 24√67 b. √√22 c.√√34 d. √√38

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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47. Find the area of the surface. The part of the plane r(u, v) = (5u +4v + 6)i + (3u +3v + 8)j + (2u +3v + 6)k; 0≤us6, 0≤vs4 a. 24√67 b. √√22 c. √√34 d.√√38 48. Evaluate the surface integral. SS 12 12xz dS S is the part of the plane 2x + 2y + z = 4 that lies in the first octant. a. I = 48 b. I = 53 c. I = 83 d. I = 73 e. I = 63 the vector 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 <3. J10yz ds. a. I = 0 b. I = 3 c. I = 10+ 3π d. I = 10T e. I = 10 + 7π Copyright Cengage Learning. Powered by Cognero. Page 17
Transcribed Image Text:47. Find the area of the surface. The part of the plane r(u, v) = (5u +4v + 6)i + (3u +3v + 8)j + (2u +3v + 6)k; 0≤us6, 0≤vs4 a. 24√67 b. √√22 c. √√34 d.√√38 48. Evaluate the surface integral. SS 12 12xz dS S is the part of the plane 2x + 2y + z = 4 that lies in the first octant. a. I = 48 b. I = 53 c. I = 83 d. I = 73 e. I = 63 the vector 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 <3. J10yz ds. a. I = 0 b. I = 3 c. I = 10+ 3π d. I = 10T e. I = 10 + 7π Copyright Cengage Learning. Powered by Cognero. Page 17
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