Surface Area The surface of the dome on a new museum isgiven by ru, v 20 sin u cos vi 20

Chapter 15, Problem 55

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Surface Area   The surface of the dome on a new museum is given by

r(u, v)=20 sin u cos vi + 20 sin u sin vj + 20 cos uk

where \(0 \leq u \leq \pi / 3,0 \leq v \leq 2 \pi\), and r is in meters. Find the surface area of the dome.

Text Transcription:

0 <= u <= pi/3, 0 <= v <= 2 pi

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