The area betweenx=y2andx= 4 is divided into two equal parts by the linex=a, find the value ofa.

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The line, x = a, divides the area bounded by the parabola and x = 4 into two equal parts. ∴ Area OAD = Area ABCD It can be observed that the given area is symmetrical about x-axis. ⇒ Area OED = Area EFCD From (1) and (2), we obtain Therefore, the value of...
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The line,x=a, divides the area bounded by the parabola andx= 4 into two equal parts. ∴ Area OAD = Area ABCD It can be observed that the given area is symmetrical aboutx-axis. ⇒ Area OED = Area EFCD From (1) and (2), we obtain Therefore, the value ofais. read less
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