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A balloon is being filled by air so that...

A balloon is being filled by air so that its volume V is gradually increasing. Find the rate of increase of volume with radius r when `r=2` units.

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SL ARORA-Mathematical tools-Exercise
  1. A balloon is being filled by air so that its volume V is gradually inc...

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  2. Find dy/dx for the following functions:y= x^3- 3x^2 + 3x - (2/5).

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  3. Find dy/dx for the following functions:y= ((x-1)(x-2))/sqrtx.

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  4. Find dy/dx for the following functions: y= (sqrt x + (1/sqrt x))^2.

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  5. Differentiate the following functions: (x^2 -4x +5)(x^3 -2).

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  6. Differentiate the following functions:((2x +3)/(x^2-5)).

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  7. Differentiate the following functions: ((sin x+ cosx)/(sin x - cos x).

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  8. Differentiate the following functions: (4x^3 - 5x^2 + 1)^4.

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  9. If the motion of aparticle is governed by the equation, s= 2t^3- 3t^2+...

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  10. The angular displacement of a particle performing circular motion is ...

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  11. Show that force can be expressed as the product of mass and accelerati...

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  12. Integrate the following: 6x + 5x^2 - 2x^3 + (1/x^2)

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  13. Integrate the following: ax^2 +bx+c

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  14. Integrate the following:(x+(1/x))^3

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  15. Integrate the following: 3 cosec^2 x- 5x+ sinx)

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  16. Integrate the following: 3cosec^2 x +2sin 3x)

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  17. Evaluate the following integrals:

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  18. Evaluate the following integrals:

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  19. Evaluate the following integrals:

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  20. Evaluate the following integrals:

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  21. Evaluate the following integrals:

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