Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane x+7y+9z=63
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Originally Posted by UODuck1879 Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane x+7y+9z=63 Let P(a,b,c) denote the vertex in the plane which produces the largest volume. 1. Therefore 2. Differentiate wrt a and wrt b. Both derivatives must be zero: 3. Solve this system of equations for (a, b). Determine c and afterwards the volume of the box. 4. I've got
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