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tmua.fyi Mock Paper 1 · Q19

Paper 1GeometryAlgebra

The region between the curves y=xy=x and y=x3y=x^3 for 0≤x≤10\le x\le1 is divided by the vertical line x=ax=a into two parts of equal area. Which equation does aa satisfy?

A2a4−4a2+1=02a^4-4a^2+1=0
B2a4−4a2−1=02a^4-4a^2-1=0
Ca4−2a2+1=0a^4-2a^2+1=0
D2a4−4a2+2=02a^4-4a^2+2=0
E4a4−2a2+1=04a^4-2a^2+1=0

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