A) \[20\sqrt{2}\]
B) \[\frac{10\sqrt{2}}{3}\]
C) \[\frac{20\sqrt{2}}{3}\]
D) \[10\sqrt{2}\]
Correct Answer: C
Solution :
\[y=4{{x}^{2}}\] \[y=\frac{1}{9}{{x}^{2}}\] Area \[=2\int\limits_{0}^{2}{\left( 3\sqrt{y}-\frac{\sqrt{y}}{2} \right)dy=2}\left[ \frac{5}{2}\frac{y\sqrt{y}}{3/2} \right]_{0}^{2}\] \[=2.\frac{5}{3}2\sqrt{2}=\frac{20\sqrt{2}}{3}\]You need to login to perform this action.
You will be redirected in
3 sec