Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x281+y29+z225=1 Hint: By symmetry, you can restrict your attention to the first octant (where x, y,z≥0), and assume your volume has the form =8xyz. Then arguing by symmetry, you need only look for points which achieve the maximum which lie in the first octant. Maximum volume:

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

The graph shows the distance kerri drives on a trip. what is kerri's speed?

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?