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Find the area of the region bounded by ...

Find the area of the region bounded by the two parabolas `y=x^2`and `y^2=x`.

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To find the area of the region bounded by the two parabolas \( y = x^2 \) and \( y^2 = x \), we can follow these steps: ### Step 1: Find the Points of Intersection To find the points where the two curves intersect, we set \( y = x^2 \) into the equation \( y^2 = x \). Substituting gives: \[ (x^2)^2 = x ...
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Knowledge Check

  • What is the area of the region bounded by the parabola y^(2)=6(x-1) and y^(2)=3x ?

    A
    A. `(sqrt(6))/3`
    B
    B. `(2sqrt(6))/3`
    C
    C. `(4sqrt(6))/3`
    D
    D. `(5sqrt(6))/3`

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