Solucionario Calculo Una Variable Thomas Finney Edicion 9 179 May 2026

Discarding the trivial solution (x = 0) (which gave zero volume), she solved

[ 4xR^2 - 3x^3 = 0 \quad\Longrightarrow\quad x\bigl(4R^2 - 3x^2\bigr) = 0. ] Discarding the trivial solution (x = 0) (which

[ V'(x) = 4x\bigl(R^2 - \tfrac{x^2}{2}\bigr)^{1/2} + 2x^2\left(\tfrac{1}{2}\right)\bigl(R^2 - \tfrac{x^2}{2}\bigr)^{-1/2}(-x) ] Maya began by sketching the situation on a

Simplifying gave

She pulled a chair, settled into the worn leather, and spread out her notes. The room was quiet except for the distant hum of the campus heating system and the occasional rustle of a late‑night janitor’s cart. Maya began by sketching the situation on a scrap of graph paper. A sphere centered at the origin, radius R , and a rectangular box whose center coincided with the sphere’s center. Because the base was a square, she let x denote the length of one side of the base, and y the height of the box. settled into the worn leather

[ 3x^2 = 4R^2 \quad\Longrightarrow\quad x = \frac{2R}{\sqrt{3}}. ]