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A solid right circular cylinder has its ...

A solid right circular cylinder has its radius equal to half of its height. Find the rate of change of its total surface area w.r.t. a change in the radius r.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. A cone has a fixed radius r and a variable height h. Find the rate of ...

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  2. A right-circular cone has a fixed radius r and a variable height h. Fi...

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  3. A solid right circular cylinder has its radius equal to half of its he...

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  4. From a cylindrical drum containing oil and kept vertical, the oil leak...

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  5. Two men A and B start with velocities v at the same time from the junc...

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  6. A kite is moving horizontally at a height of 141.5 m. If the speed of ...

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  7. For what x, sinx increases half as fast as x?

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  8. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

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  9. A man 160 cm tall, walks away from a source of light situated at the t...

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  10. A man, 2 m tall, walks at the rate of 1 (2)/(3) m/sec towards a street...

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  11. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

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  12. Water is leaking from a conical funnel at a uniform rate of 4 cm^3//se...

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  13. Water is leaking from a conical funnel of semi-vertical angle pi/4 at ...

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  14. Find the marginal cost and the marginal revenue when x = 10 , the tota...

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  15. The total cost C(x) in Rupees, associated with the production of x uni...

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  16. The radius of a cylinder is increasing at the rate of 2m/sec and its h...

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  17. An airforce plane is ascending vertically at the rate of 100 (km)/h....

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  18. A spherical ball of salt is dissovlging water in such a manner that th...

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  19. If the area of a circle increases at a uniform rate, then prove that t...

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  20. A swimming pool is to be drained for cleaning. If L represents the num...

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