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MHT CET20225 Aug 2022Evening ShiftMathematicsApplication of DerivativesActual

The side of a square sheet of metal is increasing at the rate of 3 ~cm / min . At what rate is the area increasing when the length of the side is 6 ~cm long?

Options

  1. A36 ~cm ^2 / min
  2. B12 ~cm ^2 / min
  3. C18 ~cm ^2 / min
  4. D9 ~cm ^2 / min

Correct answer

A. 36 ~cm ^2 / min

Step-by-step solution

A = a ^2 and da dt =3 ~cm / min Now dA dt =2 a dA dt dA dt =2 6 3 ~cm ^2 / =36 ~cm ^2 /

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