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
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
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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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
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