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Show that f (x) = x-cos x is increasing ...

Show that `f (x) = x-cos x` is increasing for all x.

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Show that f (x) = x-cos x is increasing for all x.

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  2. Find the equation of tangent and normal to the curve at the given poin...

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  3. Find the equation of tangent and normal to the curve at the given poin...

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  4. Find the equation of tangent and normal to the curve at the given poin...

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  5. Find the points on the curve given by y= x^3 - 6x^2 + x + 3, where the...

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  6. A stone is dropped into a quiet lake and waves in the form of circles ...

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  7. The volume of the spherical ball is increasing at the rate of 4pi cc/s...

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  8. Water is being poured at the rate of the 36 m^3/sec into a cylindrical...

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  9. A man of height 180 cm is moving away from a lamp post at the rate of ...

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  10. A man of height 180 cm is moving away from a lamp post at the rate of ...

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  11. A car is moving in such a way that the distance it covers, is given by...

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  12. The displacement of a particle at time t is given by s= 2t^3 - 5t^2 + ...

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  13. Find the approximate value of sqrt 64.1

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  14. Find the approximate value of 3.98^3

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  15. Find the approximate value of sin(30^o 30'). Given that 1^o = 0.0175^c...

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  16. Find the approximate value of tan^(-1) (0.99), Given that pi = 3.1416

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  17. Find the approximate value of e^(1.005), Given that e = 2.7183

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  18. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

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  19. Find the approximate value of f(x)= x^3 + 5x^2 -2x +3 at x=1.98

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  20. Check whether conditions of Rolle's theorem are satisfied by the follo...

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  21. Check whether conditions of Rolle's theorem are satisfied by the follo...

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