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Prove that there is a zero of the polyno...

Prove that there is a zero of the polynomial `2x^(3)-9x^(2)-11x+12` in the interval (2,7) given that 2 and 7 are the zeros of the polynomial `x^(4)-6x^(3)-11x^(2)+24x+28`.

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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
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  13. Suppose that f(0) = -3, and f' (x) le 5 for all values of x how large ...

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

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

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

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

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

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

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

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