Tiffanywongjm Tiffanywongjm

08-09-2016
Mathematics

Answered

Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0, and x = 4 into two regions with equal area. Give your answer correct to 3 decimal places. (4 points)

Verified Answer :

08-09-2016

Hello,

It's more simple than the first one!

Let's O=(0,0); A=(4,0); B=(4,4) (since y=x)

Area OAB=4*4/2=8
Half area=4

a²/2=4 ==>a²=8==>a=2√2.

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