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If the function f(x) = x^(3)-6x^(2) + ax...

If the function `f(x) = x^(3)-6x^(2) + ax + b` defined on [1,3] satisfies the Rolle's Theorem for `C = ( 2 sqrt(3) + 1)/( sqrt(3))` then find the values of a and b.

A

a = 11

B

b` in ` R

C

a = 10

D

a = 9

Text Solution

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The correct Answer is:
A, B
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Knowledge Check

  • if the function f (x) = ax^(3) + bx^(2) + 11 x - 6 satisfies the conditions of Rolle's theorem in [1, 3] and f(2 + 1 /sqrt(3)) = 0 then a + b =

    A
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  • If f(x) = x^(3) + bx^(2) +ax satisfies the conditions of Rolle's theorem on [1,3] with c = 2+(1)/(sqrt(3)) then (a,b) =0

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    B
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    C
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    D
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  • The function f(x)=x^3+ax^2+bx+c , a^2le3b has

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    one maximum value
    B
    one maximum value
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