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Q.

Rolle’s theorem holds for the functionx3+bx2+cx, 1≤x≤2 at the point43 , the value of b andc are

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a

b=8, c=−5

b

b=−5, c=8

c

b=5, c=−8

d

b=−5, c=−8

answer is B.

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Detailed Solution

Heref(1)=f(2) andf'(43)=0 ⇒1+b+c=8+4b+2c and3(43)2+2b(43)+c=0 16+8b+3c=0 7+3b+c=0 solving eqations (b,c)=(-5,8) .

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