Demand: Woman's Boots The rate of change of the unit price $p$ (in dollars) of a certain brand of women's boots is given by \begin{equation*} p'(x) = -\frac{325x}{(16+x^2)^{3/2}} \end{equation*}where $x$ is the quantity demanded daily in units of a hundred. Find the demand function for these boots if the quantity demanded daily is 300 pairs ($x=3$) when the unit price is $65/pair. $p(x) =
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The rate of change of the unit price $p$ (in dollars) of Apex women's boots is given by $$p^{\prime}(x)=\frac{-250 x}{\left(16+x^{2}\right)^{3 / 2}}$$,where $x$ is the quantity demanded daily in units of a hundred. Find the demand function for these boots if the quantity demanded daily is 300 pairs $(x=3)$ when the unit price is $\$ 50 /$ pair.
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Integration by Substitution
The rate of change of the unit price $p$ (in dollars) of Apex women's boots is given by $$p^{\prime}(x)=\frac{-250 x}{\left(16+x^{2}\right)^{3 / 2}}$$ where $x$ is the quantity demanded daily in units of a hundred. Find the demand function for these boots if the quantity demanded daily is 300 pairs $(x=3)$ when the unit price is $\$ 50 /$ pair.
The rate of change of the unit price $p$ (in dollars) of Apex women's boots is given by $$ p^{\prime}(x)=\frac{-250 x}{\left(16+x^{2}\right)^{3 / 2}} $$ where $x$ is the quantity demanded daily in units of a hundred. Find the demand function for these boots if the quantity demanded daily is 300 pairs $(x=3)$ when the unit price is $\$ 50 /$ pair.
Eleni K.
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