Computer Imaging New Age Special Effects, Inc.

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

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-\mathrm{cm}

7-\mathrm{cm}

3-\mathrm{cm}

box. The program increases each dimension at a rate of

2 \mathrm{~cm} / \mathrm{sec}

. How long does it take for the volume

V

of the box to be at least 5 times its initial size?

Related theory

Solving Quadratic Equations
Quadratic Equations
Optimization
Applied optimization
Maxima and minima

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