Reducing the three equations form non linear to linear form gives equation of the form Y = mX + c. The functions represented by Y X m snd c are written g=for each equation.
First equation
non linear form is given as
[tex]\frac{a}{y} =\frac{1}{x} +b[/tex]
converting to linear form
[tex](a)(\frac{1}{y}) =\frac{1}{x} +b[/tex]
[tex](\frac{1}{y}) = (\frac{1}{a}) (\frac{1}{x}) +\frac{b}{a}[/tex]
the linear equation gives
[tex]Y = mX + c[/tex]
where
[tex]Y = \frac{1}{y} \\m= \frac{1}{a}[/tex]
[tex]X = \frac{1}{x} \\c = \frac{b}{a}[/tex]
Second equation
non linear form is given as
[tex]y =a\sqrt{x} } -bx\\[/tex]
converting to linear equation gives
[tex]Y = mX + c[/tex]
where
[tex]Y = y \\m= a[/tex]
[tex]X = \sqrt{x} \\c = -bx[/tex]
Third equation
non linear form is given as
[tex]y= -ax^{3} + bx^{2}[/tex]
the linear equation gives
[tex]Y = mX + c[/tex]
where
[tex]Y = y \\m= -a[/tex]
[tex]X = x^{3} \\c = bx^{2}[/tex]
Read more on non linear equation here: https://brainly.com/question/22574744
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