Find the maximum volume of a rectangular box that can be inscribed in the ellipsoid ?^2/81+?^2/36+?^2/36=1...

Find the maximum volume of a rectangular box that can be inscribed in the ellipsoid ?^2/81+?^2/36+?^2/36=1 with sides parallel to the coordinate axes. Volume =

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Find the maximum volume of a rectangular box that can be inscribed in the ellipsoid ?^2/81+?^2/36+?^2/36=1...

Find the maximum volume of a rectangular box that can be inscribed in the ellipsoid ?^2/81+?^2/36+?^2/36=1 with sides parallel to the coordinate axes. Volume =

Find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes...

Find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes and the plane x + 1/9y + 1/4z = 1

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 50cm

Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint...

Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint that the sum of the length and the girth cannot exceed 192 inches (see figure). (Hint: Maximize V = xyz subject to the constraint x + 2y + 2z = 192.)

Find the perimeter of a regular 36 sided regular polygon inscribed in a circle with a...

Find the perimeter of a regular 36 sided regular polygon inscribed in a circle with a radius of 14 units. Then find the size of one of the inscribed angles.

A rectangular box with no top is to be made to hold a volume of 32...

A rectangular box with no top is to be made to hold a volume of 32 cubic inches. Which of following is the least amount of material used in its construction? a.) 80 in2 b.) 48 in2 c.) 64 in2 d.) 96 in2

Find the maximum area of a rectangle inscribed in a triangle of area A.(NOTE: the triangle...

Find the maximum area of a rectangle inscribed in a triangle of area A.(NOTE: the triangle need not necessarily be a right angled triangle).

An open-top rectangular box has a volume of 250 cm 3. The width of the box...

An open-top rectangular box has a volume of 250 cm 3. The width of the box is 5 cm. The cost is $2/ cm 2 for the base and $1/ cm 2 for the other sides. What is the minimum cost for making the box?

A rectangular box is to have a square base and a volume of 40 ft3. If...

A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.35 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.15 per square foot, determine the dimensions of the box that can be constructed at minimum cost. = Length Width Height how do i find length width and height

Use spherical coordinates to find the exact volume of the space inside the ellipsoid x^2/5^2+y^2/6^2+z^2/7^2=1 and...

Use spherical coordinates to find the exact volume of the space inside the ellipsoid x^2/5^2+y^2/6^2+z^2/7^2=1 and outside the sphere x^2+y^2+z^2=4^2.

Subjects