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please solve 9 and extra credit: find the volume of the solid bounded by the three coordinate planes and the plane 6x + 8y + 2z - 24 =

Problem 9. Find the largest possible volume of the rectangular box in the first octant with three faces in the coordinate pla
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Answer #1

Give the plane 3x +y2z 12 2z 12-3x-y (12-3x-») The volume of rectangular box V- yz (x,y)-唱(12-3-y) *2 ox Solve the above two

D(0,12)-4(0,12)ふ(0,12)-[4(0,12) =-36(< 0) D(4,0)-In (4,0)4(4,0)-[4(4,OT = 0-(-6) -36(<0) DOO)-In (0,0)4(0,0)-[4(0,0) = 0-6) -

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