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9 results for “curve”

Formulae (9)

A = 2\pi r h

Side (curved) surface area of a cylinder.

L = \int_a^b \sqrt{1 + (f'(x))^2}\,dx

Length of a curve y = f(x) from a to b.

S = 2\pi\int_a^b f(x)\sqrt{1+(f'(x))^2}\,dx

Surface area generated by revolving a curve about the x-axis.

\int_a^b f(x)\,dx = \text{signed area under } f

The net area between a curve and the x-axis from a to b.

L = \int_a^b \sqrt{1 + [f'(x)]^2}\,dx

Length of a curve between two points.

f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}

Probability density of the bell curve.

f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}

Bell-curve probability density function.

\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}

Focal length relation for curved mirrors.

R = \frac{5729.58}{D}

Radius of a circular road or rail curve from its degree of curve.