Find the area of the closed figure bounded by the curves `y=sqrt(x),y=sqrt(4-3x)a n dy=0`
Text Solution
AI Generated Solution
To find the area of the closed figure bounded by the curves \( y = \sqrt{x} \), \( y = \sqrt{4 - 3x} \), and \( y = 0 \), we can follow these steps:
### Step 1: Find the points of intersection of the curves
To find the area, we first need to determine where the curves intersect. We set \( \sqrt{x} = \sqrt{4 - 3x} \).
1. Square both sides:
\[
x = 4 - 3x
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