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A bivariate (two variable) quadratic function is a second-degree polynomial which describes a quadratic surface and has the form: f(x,y)=Ax^2 + By^2 + ... more

A quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which ... more

A cubic function is a function of the form f(x): ax3 + bx2 + cx + d.

The critical points of a cubic equation are those values of x where the slope of
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A cubic function is a function of the form f(x): ax3 + bx2 + cx + d.

The critical points of a cubic equation are those values of x where the slope of
... more

Solves a univariate polynomial equation of the fourth degree. (For possitive values of x)

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In algebra, the discriminant of a polynomial is a function of its coefficients, typically denoted by a capital 'D’ or the capital Greek letter Delta ... more

A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may ... more

A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may ... more

Solves a univariate polynomial equation of the second degree. This formula will calculate both roots and both real and complex roots.

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A parabola is a graph of a quadratic function, such as y=ax^2+bx+c. A parabola is the set of all points equidistant from a point that is called the focus ... more

Parabolas with axes of symmetry parallel to the y-axis have equations of the form y=ax^2+bx+c.

The x-coordinate and y-coordinate at the vertex can be
... more

In mathematics, Vieta’s formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.

P(x)=ax^2 + bx + c,

Parabolas with axes of symmetry parallel to the y-axis have equations of the form y=ax^2+bx+c.

The x-coordinate and y-coordinate at the vertex can be
... more

In mathematics, Vieta’s formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.

P(x)=ax^2 + bx + c,

Drag (sometimes called air resistance, a type of friction, or fluid resistance, another type of friction or fluid friction) refers to forces acting ... more

A ball screw is a mechanical linear actuator that translates rotational motion to linear motion with little friction. A threaded shaft provides a helical ... more

Linear damping occurs when a potentially oscillatory variable is damped by an influence that opposes changes in it, in direct proportion to the ... more

Thermal expansion is the tendency of matter to change in volume in response to a change in temperature through heat transfer. When a substance is heated, ... more

Chladni’s law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of ... more

Column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above ... more

The Sears–Haack body is the shape with the lowest theoretical wave drag in supersonic flow, for a given body length and given volume. The mathematical ... more

In mathematics, an elliptic curve (EC) is a smooth, projective algebraic curve of genus one, on which there is a specified point.Any elliptic curve can be ... more

A spring is an elastic object used to store mechanical energy. Springs are usually made out of spring steel. Small springs can be wound from pre-hardened ... more

In geometry and complex analysis, a Möbius transformation of the plane is a rational function of one complex variable. A Möbius transformation can be ... more

In dimensional analysis, the Strouhal number is a dimensionless number describing oscillating flow mechanisms.

In metrrology, specifically axial-flow
... more

The Sears–Haack body is the shape with the lowest theoretical wave drag in supersonic flow, for a given body length and given volume. The mathematical ... more

Strategy

Use the equation for linear thermal expansion to calculate the change in length , **ΔL** . Use the coefficient of linear expansion, **α** ,for steel from Table 13.2, and note that the change in temperature, **ΔT** , is **55ºC**

**(b)** convert the change in temperature if Kelvin and Fahrenheit degrees. *****this section is not included in the Reference material*

Discussion

Although not large compared with the length of the bridge, this change in length is observable. It is generally spread over many expansion joints so that the expansion at each joint is small.

Reference : OpenStax College,College Physics. OpenStax College. 21 June 2012.

http://openstaxcollege.org/textbooks/college-physics

Creative Commons License : http://creativecommons.org/licenses/by/3.0/

A banked turn (aka. banking turn) is a turn or change of direction in which the vehicle banks or inclines, usually towards the inside of the turn. For a ... more

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The main span of San Francisco’s Golden Gate Bridge is

1275 mlong at its coldest. The bridge is exposed to temperatures ranging from–15ºCto40ºC.(a)What is its change in length between these temperatures? Assume that the bridge is made entirely of steel.