Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

Home / Get Math Help

Example plots

Equations

x(u, v) = u cos(v)
y(u, v) = u sin(v)
z(u, v) = c v

y = x tan(z/c)

Surface properties

g = 0

ds^2 = 1 du^2 + c^2 + u^2 dv^2

dA = sqrt(c^2 + u^2) du dv

K(u, v) = -c^2/(c^2 + u^2)^2

Metric properties

g_(uu) = 1
g_(vv) = c^2 + u^2

Γ | u |
| | vv = -u
Γ | v |
| | uv = u/(c^2 + u^2)
Γ | v |
| | vu = u/(c^2 + u^2)

E(u, v) = 1
F(u, v) = 0
G(u, v) = c^2 + u^2

e(u, v) = 0
f(u, v) = -c/sqrt(c^2 + u^2)
g(u, v) = 0

Vector properties

left double bracketing bar x(u, v) right double bracketing bar = sqrt(c^2 v^2 + u^2)

N^^(u, v) = (-(sin(v) c)/sqrt(u^2 + c^2), (cos(v) c)/sqrt(u^2 + c^2), -u/sqrt(u^2 + c^2))

Properties

minimal surfaces | right conoid | ruled surfaces