Solucionario Calculo Una Variable Thomas Finney Edicion 9 179 Page

A ripple of impressed murmurs ran through the class. The professor nodded, his eyes twinkling. “Excellent,” he said. “You’ve illustrated perfectly how a multivariable problem can sometimes be reduced to one variable, and how the critical point tells us the shape of the optimal object. Well done, Maya.”

The vertices of the box lie on the sphere, so each corner satisfies the equation A ripple of impressed murmurs ran through the class

[ V'(x) = 4x\sqrt{R^2 - \tfrac{x^2}{2}} - \frac{x^3}{\sqrt{R^2 - \tfrac{x^2}{2}}}. ] his eyes twinkling. “Excellent