A) \[\frac{3}{2}A+4B\]
B) \[3A+7B\]
C) \[\frac{3}{2}A+\frac{7}{3}B\]
D) \[\frac{A}{2}+\frac{B}{3}\]
Correct Answer: C
Solution :
| [c] \[V=At+B{{t}^{2}}\Rightarrow \frac{dx}{dt}=At+B{{t}^{2}}\] |
| \[\Rightarrow \] \[\int\limits_{0}^{x}{dx}=\int\limits_{2}^{2}{(At+B{{t}^{2}})dt}\] |
| \[\Rightarrow \] \[x=\frac{A}{2}({{2}^{2}}-{{1}^{2}})+\frac{B}{3}({{2}^{3}}-{{1}^{3}})=\frac{3A}{2}+\frac{7B}{3}\] |
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