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  • Provide solution RD Sharma maths class 12 chapter 12 derivative as a rate measurer exercise case study base question , question 1 sub question 1

    Provide solution RD Sharma maths class 12 chapter 12 derivative as a Rate Measurer exercise case study base question,question 1 sub question 1

Answers (1)

Answer:

\frac{d x}{d t}=-5 \mathrm{~cm} / \mathrm{min} \frac{d y}{d t}=4 \mathrm{~cm} / \mathrm{min}

Hint:

Here, we use the concept of volume.

Given:

 Length decreases at the rate of 5cm and with increase at the rate of 4cm/sec

Solution:

 So, let x be length of rectangular sheet and y be width of rectangular sheet

\frac{d x}{d t}=-5 Because length decrease so value must be negative

and \frac{d x}{d t}=4 because width increase. So value must be positive

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