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Question Number 57491 by Joel578 last updated on 05/Apr/19

$$\mathrm{If}R\mathrm{is}\mathrm{a}\mathrm{region}\mathrm{enclosed}\mathrm{by}y=f\left(x\right),y=g\left(x\right),x=a,x=b,$$$$\mathrm{is}\mathrm{it}\mathrm{possible}\mathrm{to}\mathrm{have}f\left(x\right)\mathrm{and}g\left(x\right)\mathrm{such}\mathrm{that}$$$$\mathrm{the}\mathrm{center}\mathrm{of}\mathrm{gravity}(\overline{x},\overline{y})\mathrm{is}\mathrm{not}\mathrm{inside}R?$$

Answered by ajfour last updated on 05/Apr/19

$$\mathrm{yes},\mathrm{say}\mathrm{in}\mathrm{boomerang}\mathrm{shape}.$$

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