Mathematics

Mathematics

Problem

34. Computer Imaging New Age Special Effects, Inc., prepares computer software based on specifications prepared by film directors. To simulate an approaching vehicle, they begin with a computer image of a 5−cm5-\mathrm{cm} by 7−cm7-\mathrm{cm} by 3−cm3-\mathrm{cm} box. The program increases each dimension at a rate of 2 cm/sec2 \mathrm{~cm} / \mathrm{sec}. How long does it take for the volume VV of the box to be at least 5 times its initial size?

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