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Let f(x) = 8x^3 - 6x^2 - 2x +1 then, (A...

Let `f(x)` = 8`x^3` - 6`x^2` - 2x +1 then, (A) f(x) = 0 has no root in (0,1) (B) f(x) = 0 has at least one roct in (0,1) (C) `f'(x)` vanishes for some x in (0,1), (D) f(x)=0 has at most two real roots (0, 1)

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Let a in R and f : R rarr R be given by f(x)=x^(5)-5x+a , then (a) f(x)=0 has three real roots if a gt 4 (b) f(x)=0 has only one real root if a gt 4 (c) f(x)=0 has three real roots if a lt -4 (d) f(x)=0 has three real roots if -4 lt a lt 4

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Let a in R and f : R rarr R be given by f(x)=x^(5)-5x+a , then (a) f(x)=0 has three real roots if a gt 4 (b) f(x)=0 has only one real root if a gt 4 (c) f(x)=0 has three real roots if a lt -4 (d) f(x)=0 has three real roots if -4 lt a lt 4

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