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Find 'C' of Lagrange's mean value theore...

Find 'C' of Lagrange's mean value theorem for the function `f(x)=2x^(3)+x^(2)-x-1, [0, 2]`

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The correct Answer is:
`c=(-1+sqrt61)/(6)`
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Suppose that f(0) = -3, and f' (x) le 5 for all values of x how large ...

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  2. Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...

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  3. Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)...

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  4. Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)...

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  5. The Taylor's series expension of f(x)=sin x "about" x=(pi)/(2) is obta...

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  6. Obatin the Maclaurin's series expansion for the following function . ...

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  7. Evaluate underset(x rarr (pi)/(2))(lim) (log sin x)/((pi - 2x)^(2))

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  8. Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

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  9. underset (x rarr infty) lim(log x^(x))/(x)

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  10. underset(x rarr0)lim x^(2)log e^(x)

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  11. Evaluate underset(x rarr 1)(lim) x^((1)/(x-1))

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  12. underset (xrarr0)lim (cos x) ^(x)

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  13. Find the absolute maximum and absolute minimum values of f on the give...

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  14. f(x)=x^(3)-12x+1, [-3, 5]

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  15. f(x)=(x)/(x+1), [1,2]

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  16. Find the absolute maximum and absolute minimum values of f on the give...

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  17. f(x)=x-2 cos x, [-pi, pi]

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  18. Find the local maximum and minimum values of the following functions ...

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  19. Find the local maximum and minimum values of the following functions ...

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  20. Find the slope at x=2 for y=x^(4)-4x^(3)

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