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Prove that the following functions do no...

Prove that the following functions do not have absolute maximum and absolute minimum.
`x^(3) + x^(2) + x + 1` in R

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AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
  1. Find the points of local extrema (if any) and local extrema of the fol...

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  2. Find the points of local extrema (if any) and local extrema of the fol...

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  3. Prove that the following functions do not have absolute maximum and ab...

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  4. Prove that the functions do not have maxima or minima: f(x) = e^(x)

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  5. Prove that the logarithmic function is increasing on (0, oo).

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  6. Find the maximum profit that a company can make, if the profit functio...

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  7. Use the second derivative test to find local extrema of the function f...

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  8. Find the absolute maximum value and the absolute minimum value of the ...

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  9. Find the absolute maximum value and the absolute minimum value of the ...

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  10. Find the absolute maximum value and absolute minimum value of the foll...

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  11. Find the absolute maximum value and the absolute minimum value of the ...

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  12. Find the absolute maximum value and absolute minimum value of the foll...

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  13. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

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  14. Use the first derivative test to find the local extrema of f(x) =x^(3)...

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  15. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

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  16. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

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  17. The profit function P (x) of a company selling x items is given by P(x...

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  18. Use the second derivative test to find local extrema of the function f...

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  19. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

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  20. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

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