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Solucionario Calculo Una Variable Thomas Finney Edicion 9 179 【VERIFIED ★】

Finally, the maximal volume:

Maya wrote the result in bold, underlined it, and added a small smiley face next to it—her personal signature of triumph. The next morning, the professor walked into the seminar room, a stack of papers in his hand. He asked the class to volunteer a solution for Exercise 179. Maya’s hand rose, heart thudding like a metronome. Finally, the maximal volume: Maya wrote the result

[ \frac{x^2}{2} + \frac{y^2}{4} = R^2. ] Finally, the maximal volume: Maya wrote the result

[ V(x) = x^2 \cdot y = x^2 \cdot 2\sqrt{R^2 - \frac{x^2}{2}} = 2x^2\sqrt{R^2 - \frac{x^2}{2}} . ] Finally, the maximal volume: Maya wrote the result