find the volume of the largest rectangular what's in the first octant with three faces on...

find the volume of the largest rectangular what's in the first octant with three faces on the co-ordinate planes and one vertex on the plane
8x+y+3z=9

Expert Solution

milcah answered 2 years ago

Find the volume of the indicated region. the solid cut from the first octant by the...

Find the volume of the indicated region. the solid cut from the first octant by the surface z=64 - x^2 -y

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 surface area of the paraboloid z = 4−x^2 −y^2 in the first octant.

Find an equation of the largest sphere with center (4,3,5) and is contained in the first...

Find an equation of the largest sphere with center (4,3,5) and is contained in the first octant. Be sure that your formula is monic. =0

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Find the largest volume V = xyz of a box for which the point (x, y, z) is on the ellipsoid x^2 + 4y^2 + 16z^2 = 48

A random experiment consists of throwing a triangular shape with three faces three times. The first...

A random experiment consists of throwing a triangular shape with three faces three times. The first face has the number 1, the second face has the number 2 and the third face has the letter A. List the sample space of the random experiment. Assume the faces are equally likely, what is the probability an outcome of experiment has at least one A? the letter A is three times likely to occur in a throw than the...

Find the cone with the largest volume using 25 square units of material.(yes the cone has...

Find the cone with the largest volume using 25 square units of material.(yes the cone has a ”cap” so don’t forget the disc in your formula.) Hint: Lagrange Multipliers Please briefly explain your steps

a) Find the volume of the solid obtained by revolving the region in the first quadrant...

a) Find the volume of the solid obtained by revolving the region in the first quadrant bounded by the curves y= x^(1/2) & y= x^5 about the x-axis b) Find the volume of the solid obtained by revolving the region between the curve f(x)= x^(1/3) , the line y=2, and the line x=8 about the y-axis

8. Determine the centroid, ?(?̅,?̅,?̅), of the solid formed in the first octant bounded by ?+?−16=0...

8. Determine the centroid, ?(?̅,?̅,?̅), of the solid formed in the first octant bounded by ?+?−16=0 and 2?^2−2(16−?)=0.

1. A solid in the first octant, bounded by the coordinate planes, the plane (x= 40)...

1. A solid in the first octant, bounded by the coordinate planes, the plane (x= 40) and the curve (z=1-y² ) , Find the volume of the solid by using : a- Double integration technique ( Use order dy dx) b-Triple integration technique ( Use order dz dy dx) 2. Use triple integration in Cartesian coordinates to find the volume of the solid that lies below the surface = 16 − ?² − ?² , above the plane z =...

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