Linearize the following equations where $a$ and $b$ are constants. $y=a x^{2}-\frac{b}{x}$ \(\

Question

Linearize the following equations where $a$ and $b$ are constants. $y=a x^{2}-\frac{b}{x}$ $\frac{1}{y}=a x^{3}-\frac{b}{x^{2}}$ $y=3 b^{x}$ $y=b^{2x+1}-1$

Accepted Answer

(a) Plot $xy$ against $x^3$: $xy=ax^3-b$ (b) Plot $\dfrac{x^2}{y}$ against $x^5$: $\dfrac{x^2}{y}=ax^5-b$ (c) Plot $\ln y$ against $x$: $\ln y=(\ln b)x+\ln3$ (d) Plot $\ln(y+1)$ against $x$: $\ln(y+1)=(2\ln b)x+\ln b$.

Linearization of Equations

Linearization of Equations

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