[Answer] If a(x) and b(x) are linear functions with one variable which of the following expressions produces a quadratic function?

Answer: A. (ab)(x)
If a(x) and b(x) are linear functions with one variable which of the following expressions produces a quadratic function?

Tue Nov 25 2003 13:30:00 GMT-0500 (Eastern Standard Time) · where a 0 ( x ) … a n ( x ) and b ( x ) are arbitrary differentiable functions that do not need to be linear and y′ … y (n) are the successive derivatives of an unknown function y of the variable x . This is an ordinary differential equation (ODE).

A polynomial function in one real variable can be represented by a graph. The graph of the zero polynomial; f( x ) = 0 is the x -axis. The graph of a degree 0 polynomial; f( x ) = a 0 where a 0 ≠ 0 is a horizontal line with y-intercept a 0. The graph of a degree 1 polynomial (or linear function ) f( x ) = a 0 + a 1 x where a 1 ≠ 0

Linear function – Wikipedia

Quadratic function – Wikipedia

Linear equation – Wikipedia

Linear differential equation – Wikipedia

Quadratic equation – Wikipedia

In statistics linear regression is a linear approach to modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables).The case of one explanatory variable is called simple linear regression; for more than one the process is called multiple linear regression. This term is distinct from multivariate linear …

In algebra a quadratic equation (from the Latin quadratus for “square”) is any equation that can be rearranged in standard form as + + = where x represents an unknown and a b and c represent known numbers where a ≠ 0.If a = 0 then the equation is linear not quadratic as there is no term. The numbers a b and c are the coefficients of the equation and may be distinguished by calling …

One variable . Frequently the term linear equation refers implicitly to the case of just one variable .. In this case the equation can be put in the form + = and it has a unique solution = − in the general case where a ≠ 0.In this case the name unknown is sensibly…

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