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A cubic f(x)=ax^(3)+bx^(2)+cx+d vanishes...

A cubic `f(x)=ax^(3)+bx^(2)+cx+d` vanishes at x=-2 and has relative maximum/minimum at x=- 1 and `x=1//3` if `int_(-1)^(1)f(x)dx=(14)/(3)`
f(x) decreases in the interval

A

`((-1)/(3),1)`

B

`((-1)/(3),-1)`

C

`(-1,(1)/(3))`

D

`(1,(3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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