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The one end of a 20 m long ladder is on...

The one end of a 20 m long ladder is on the floor and the other end is in the contact of vertical wall. Its lower end slides on the floor. Show that the rate of sliding of the upper end is 4/3 times the rate of sliding the lower end when the lower end is 16 m away from the wall.

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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6a
  1. Find the rate of change of area of the circle with respect to its radi...

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  2. (i) The radius of a circle is increasing at the rate of 5 cm/sec. Fin...

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  3. The side of a square is increasing at a rate of 3 cm/sec. Find the rat...

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  4. The side of a square is increasing at a rate of 4cm/sec. Find the rate...

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  5. The rate of increase of the radius of an air bubble is 0.5 cm/sec. Fin...

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  6. A balloon which always remains spherical, is being inflated by pump...

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  7. The volume of cube is increasing at a rate of 9 cm^(3)//sec. Find the ...

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  8. The volume of a spherical balloon is increasing at a rate of 25 cm^(3...

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  9. The surface of a spharical balloon is increasing at a rate of 2cm^2/se...

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  10. The length of a rectangle is decreasing at a rate of 3 cm/sec and brea...

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  11. Find the point on the curve y^2= 8xdot for which the abscissa and ordi...

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

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  13. The base of a cubical tank is 25 m xx 40 m. The volume of water in the...

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  14. The oil is leaking from a drum at a rate of 16 cm^(3)//sec. If the rad...

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  15. The water is leaking from a conical funnel at a rate of 5cm^(3)//min. ...

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  16. A man 160 cm tall, walks away from a source of light situated at th...

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

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  18. The total revenue of selling of x units of a product is represented by...

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  19. A ladder is inclined to a wall making an angle of 30° with it. A man i...

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  20. The one end of a 20 m long ladder is on the floor and the other end i...

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