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A particle is moving in a straight line such that the distance covered by it in t seconds from a point is `((t^(3))/(3)-t)` cm. find its speed at t=3 seconds.

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To find the speed of the particle at \( t = 3 \) seconds, we will follow these steps: ### Step 1: Write down the distance function The distance \( s(t) \) covered by the particle in \( t \) seconds is given by: \[ s(t) = \frac{t^3}{3} - t \text{ cm} \] ...
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NAGEEN PRAKASHAN ENGLISH-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. A particle is moving in a straight line such that the distance covered...

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  2. Find the derivative of the following functions from first principles:...

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  3. Find the derivative of the following functions (it is to be understand...

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  4. Find the derivative of the following functions (it is to be understand...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivative of the following functions (it is to be understand...

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  7. Find the derivative of the following functions (it is to be understand...

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  8. Find the derivative of the following functions (it is to be understand...

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  9. Find the derivative of the following functions (it is to be understand...

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  10. Find the derivative of the following functions (it is to be understand...

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  11. Find the derivative of the following functions (it is to be understand...

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  12. Find the derivative of the following functions (it is to be understand...

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  13. Find the derivative of the following functions (it is to be understand...

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  14. Find the derivative of the following functions (it is to be understand...

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  16. Find the derivative of the following functions (it is to be understand...

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  18. Find the derivative of the following functions (it is to be understand...

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  21. Find the derivative of the following functions (it is to be understand...

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