The figures below are graphs of r(u, v) = ui + sin u cos vj + sin u sin vk, where 0 ≤ u S/2 and 0 S V S 2. Match each of the graphs with the point in space from which the surface is viewed. The points are (10, 0, 0), (-10, 10, 0), (0, 10, 0), and (10, 10, 10). (a) (b) O (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10) O (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10)

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15.5-14

The figures below are graphs of r(u, v) = ui + sin u cos vj + sin u sin vk, where 0 ≤ u≤ π/2 and 0 ≤ v ≤ 2. Match each of the graphs with the point in space from which the surface is viewed. The points are (10, 0, 0), (-10, 10, 0), (0, 10, 0), and (10, 10, 10).
(a)
(b)
Z
O (10, 0, 0)
O (-10, 10, 0)
O (0, 10, 0)
O (10, 10, 10)
O (10, 0, 0)
O (-10, 10, 0)
O (0, 10, 0)
O (10, 10, 10)
Transcribed Image Text:The figures below are graphs of r(u, v) = ui + sin u cos vj + sin u sin vk, where 0 ≤ u≤ π/2 and 0 ≤ v ≤ 2. Match each of the graphs with the point in space from which the surface is viewed. The points are (10, 0, 0), (-10, 10, 0), (0, 10, 0), and (10, 10, 10). (a) (b) Z O (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10) O (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10)
(c)
(d)
X
Z
(10, 0, 0)
O (-10, 10, 0)
O (0, 10, 0)
O (10, 10, 10)
Z
O (10, 0, 0)
O (-10, 10, 0)
O (0, 10, 0)
O (10, 10, 10)
y
Transcribed Image Text:(c) (d) X Z (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10) Z O (10, 0, 0) O (-10, 10, 0) O (0, 10, 0) O (10, 10, 10) y
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