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explain solution rd sharma class 12 chapter 12 derivatives as a rate measure exercise fill in the blanks question 8 maths

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Answer:s

Hint: Here we use the concept and formula of acceleration and velocity

Given: S= ae^{t}+\left ( \frac{b}{e^{t}} \right )

Solution: Acceleration = d^{2}s/dt^{2}

               S= ae^{t}+\left ( \frac{b}{e^{t}} \right )

              \frac{dS}{dt}=ae^{t}+be^{-t}\left ( -1 \right )

                   =ae^{t}-be^{-t}

            \frac{\mathrm{d} ^{2}S}{\mathrm{d} t^{2}}=ae^{t}+be^{-t}

               a=ae^{t}+be^{-t}=s

So, a=s

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