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MHT CET202210 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

The sides of an equilateral triangle are increasing at the rate of 2 ~cm / sec . The rate at which the area increases, when side is 10 ~cm , is

Options

  1. A3 10 ~cm ^2 / sec
  2. B10 3 ~cm ^2 / sec
  3. C3 ~cm ^2 / sec
  4. D10 3 ~cm ^2 / sec

Correct answer

D. 10 3 ~cm ^2 / sec

Step-by-step solution

aligned & A= 3 4 S^2 & d A ~d t = 3 4 2 S d s ~d t = 3 4 2 10 2 ~cm ^2 / sec & d A ~d t =10 3 ~cm ^2 / sec aligned

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