A) \[\frac{13}{6}\]
B) \[\frac{13}{2}\]
C) \[\frac{13}{5}\]
D) \[\frac{13}{7}\]
Correct Answer: A
Solution :
[a] \[y=1+4x-{{x}^{2}}=5-{{(x-2)}^{2}}\] We have \[\int\limits_{0}^{3/2}{(1+4x-{{x}^{2}})dx=2\int\limits_{0}^{3/2}{mx\,\,dx}}\] \[=\frac{3}{2}+2\left( \frac{9}{4} \right)-\frac{1}{3}\left( \frac{27}{8} \right)=m.\frac{9}{4}\] On solving we get \[m=\frac{13}{6}\]You need to login to perform this action.
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