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kotegsom
[21]
3 years ago
11
Find the area of the helicoid (or spiral ramp) with vector equation r(u, v) = ucos(v) i + usin(v) j + v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π
.
Mathematics
Answer
Comment
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1
answer:
Natasha2012
[34]
3 years ago
5
0
Let
denote the helicoid parameterized by
for
and
. The surface area is given by the surface integral,
We have
So the area of
is
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