(Solution Library) A rectangular box is inscribed in the first octant with three of its sides in the coordinate planes, their common vertex at the origin
Question: A rectangular box is inscribed in the first octant with three of its sides in the coordinate planes, their common vertex at the origin and the opposite vertex on the plane with equation x +3y + 7z = 11. What is the maximum possible volume of such a box?
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![[Solution] A wire 120 cm long is](/images/solutions/MC-solution-library-51766.jpg "[Solution] A wire 120 cm long is cut into three of fewer pieces,")
[Solution] A wire 120 cm long is cut into three of fewer pieces,
(Steps Shown) What is the maximum possible volume of a rectangular
![[See Steps] Find the point (x,y) in](/images/solutions/MC-solution-library-51768.jpg "[See Steps] Find the point (x,y) in the plane for which the sum")
[See Steps] Find the point (x,y) in the plane for which the sum
Solution: Find the equation of the plane through (1,1,1) that
![[Solved] Find an equation of the plane](/images/solutions/MC-solution-library-51770.jpg "[Solved] Find an equation of the plane that passes through the")
[Solved] Find an equation of the plane that passes through the
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