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The function f(x)=x(x+3)e^(-(1/2)x) sati...

The function `f(x)=x(x+3)e^(-(1/2)x)` satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

A

0

B

-1

C

-2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The function f(x)=x(x+3)e^(-(1//2)x) satisfies all the conditions of Rolle's theorem in [-3, 0]. The value of c is

    A
    0
    B
    `-1`
    C
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    D
    `-3`
  • The function f(x) =x^(3) - 6x^(2)+ax + b satisfy the conditions of Rolle's theorem on [1,3] which of these are correct ?

    A
    `a=11, b in R`
    B
    `a= 11, b=-6`
    C
    `a=-11,b=6`
    D
    `a=- 11 , b in R`
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