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The greatest value of the function F(x) = 

4xt28t+16dt on [0,5] is

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a
5
b
1/3
c
4
d
2/3

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detailed solution

Correct option is B

F′(x)=x2−8x+16=(x−4)2>0 for x∈[0,5]−{4}So the greatest value of F is F(5)=∫45 (t−4)2dt=13


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