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Find the approximate value of log(10)(99...

Find the approximate value of `log(10)(998)`, Given that log(10)(e) = 0.4343

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Find the approximate value of tan^(-1) (0.99), Given that pi = 3.1416

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

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

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

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

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

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  7. Verify Rolle's theorem for the function: f(x) = x^2 -4x +10 on (0,4)

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  8. Given an interval (a, b) that satisfies hypothesis of Rolle's theorem ...

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  9. Verify Lagrange's mean value theorem for the following functions: f(x)...

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  10. Verify Lagrange's mean value theorem for the following functions: f(x)...

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  11. Show that the function f(x) = x^3 +10 x +7 for all x in R is strictly ...

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  12. Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or de...

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  13. Find the values of x, for using the function f(x)= x^3 +12 x^2 +36x...

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  14. Find the values of x, for using the function f(x)= x^3 +12 x^2+36x+...

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  15. Find the local maxima local minima of the function f(x) = x^3 -3x.

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  16. Find the local maxima local minima of the function f(x) = x^3 -3x^2 - ...

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  17. A wire of length 120 cm is bent in the form of rectangle. Find its dim...

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  18. A rectangular sheet of paper has area 24 sq. meters. The margin at t...

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  19. An open box is to be cut of piece of square card board of side 18 cm ...

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  20. Two sides of a triangle are given, find the angle between them such th...

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