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

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

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Two men A and B start with velocities v at the same time from the junc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Prove that the function f(X) = ax + b is increasing iff a > 0.

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  18. Show that the function f given by f(X) = 7x - 3 is strictly increasing...

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  19. Show that the function f (x) = (x)/(1+|x|) is a strict increasing func...

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  20. Show that the function f(x) = x -(1)/(x) is a strict increasing functi...

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