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The total cost C(x) in Rupees, associa...

The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000` . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change

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The correct Answer is:
`Rs. 35.16`
For x units, marginal `cost = (dC)/(dx)`
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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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