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The area (in sq. units) of the region bo...

The area (in sq. units) of the region bounded by the curves `y=2-x^(2) and y=|x|` is k, then the value of 3k is

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To find the area of the region bounded by the curves \( y = 2 - x^2 \) and \( y = |x| \), we will follow these steps: ### Step 1: Identify the curves The first curve, \( y = 2 - x^2 \), is a downward-opening parabola with its vertex at (0, 2). The second curve, \( y = |x| \), consists of two lines: \( y = x \) for \( x \geq 0 \) and \( y = -x \) for \( x < 0 \).
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