turkey-yks 2014 Q49

turkey-yks · Other · lys1-math Areas Between Curves Find Parameter Given Area Condition

In the rectangular coordinate plane; the region between the curve $y = 3 \sqrt { x }$, the line $x = 1$, and the line $y = 0$ is divided into two regions of equal area by the line $y = m x$.
Accordingly, what is m?
A) $\frac { 3 } { 2 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 5 } { 4 }$
D) 1
E) 2

In the rectangular coordinate plane; the region between the curve $y = 3 \sqrt { x }$, the line $x = 1$, and the line $y = 0$ is divided into two regions of equal area by the line $y = m x$.

Accordingly, what is m?\\
A) $\frac { 3 } { 2 }$\\
B) $\frac { 4 } { 3 }$\\
C) $\frac { 5 } { 4 }$\\
D) 1\\
E) 2

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