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Find the approximate values of the follo...

Find the approximate values of the following: `log_e(4.04)`,
given `log_10 4 = 0.6021, log_10 e = 0.4343`

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Find the approximate values of the following: root(3)(63)

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  2. Find the approximate values of the following: root(10)(0.999)

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  3. Find the approximate values of the following: loge(4.04), given log1...

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  4. Find the approximate values of the following: sin( 31^o), given 1^o = ...

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  5. Find the approximate values of the following: cos(60^o 30'), given 1^o...

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  6. Find the approximate values of the following: tan(44^o), given 1^o = 0...

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  7. Find the approximate values of the following: cos(89^o 30'), given 1^o...

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  8. Check whether the condition of Rolle's theorem are satisfied by the fo...

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  9. Check whether the condition of Rolle's theorem are satisfied by the fo...

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  10. Verify Rolle's theorem for the following functions: f(x) = x^2 -5x +9,...

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  11. Verify Rolle's theorem for the following functions: f(x) = sin x + cos...

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  12. Discuss the applicability of Rolle's theorem for the following funct...

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  13. Discuss the applicability of Rolle's theorem for the following funct...

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  14. Verify LMVT for the following functions: f(x) = x+1/x, x in (1,3)

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  15. Find c, if LMVT is applicable for f(x)= x(x-1)(x-2), x in (0, frac{1...

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  16. Test whether the following functions are increasing or decreasing: f(x...

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  17. Test whether the following functions are increasing or decreasing: f(x...

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  18. Find the values of x, such that f(x)= 2x^3 -15x^2 +36x +1 is an increa...

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  19. Find the values of x, such that x^2+ 2x - 5 is an increasing function

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  20. Find the values of x, for which f(x) = x^4 + 2x^3 + 1 is a decreasing ...

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