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Provide solution RD Sharma maths class 12 chapter 12 Derivative as a Rate Measure exercise case study based question ,question 1 sub question 2 maths textbook solution.

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Answer:

--2cm/\sec-2cm/\sec

Hint:

Here, we use the formula of perimeter (P) of a rectangle

Given:   x=8cm and y=6cm

Solution:

\begin{aligned} &p=2(x+y) \\ &\frac{d p}{d t}=2\left(\frac{d x}{d t}+\frac{d y}{d t}\right)= \\ &=2(-5+4) \quad, a s\left(\frac{d x}{d t}=-5\right) \text { and }\left(\frac{d y}{d t}=4\right) \\ &=2(-1) \\ &=-2 \mathrm{~cm} / \mathrm{sec} \end{aligned}

Hence, the perimeter is decreases at the rate of 2cm/\sec

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