Aline in the xy plane passes through the origin and has a slope of 6 which of the following points lies on the line

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Ответ:

nmartin1467

29.07.2022

Mathematics

The quantity demanded is decreasing at the rate of $\dfrac{1}{6}\ thousands/week$

Step-by-step explanation:

Since we have given that

p+x^2=225

Here, p is the price and x is the quantity demanded.

Price per tire is increasing at the rate of $2/week.

So, $\dfrac{dp}{dw}=2$

Differentiating the given equation w.r.t 'w', so we get that

$\dfrac{dp}{dw}+2x\dfrac{dx}{dw}=0\\\\2+2\times 6\dfrac{dx}{dw}=0\\\\2+12\dfrac{dx}{dw}=0\\\\\dfrac{dx}{dw}=\dfrac{-2}{12}=-\dfrac{1}{6}$

Hence, the quantity demanded is decreasing at the rate of $\dfrac{1}{6}\ thousand/week$

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