rectangular box is inscribed in the region in the first octant bounded above by the plane with x-intercept 6, y-intercept,6 and z-intercept 6. Find dimensions of box of maximum volume
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rectangular box is inscribed in the region in the first octant bounded above by the plane with x-intercept 6, y-intercept,6 and z-intercept 6. Find dimensions of box of maximum volume
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- A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2right-circular cylinder is to be inscribed in a right-circular cone of radius 2 ft and height 4 ft. What dimensions that maximizes the total surface area of the cylinder (including top and bottom bases)?A rectangular box is inscribed in the region in the first octant bounded above by the plane with x-intercept 6, y-intercept 6, and z-intercept 6. a. Find an equation for the plane. b. Find the dimensions of the box of maximum volume.
- Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. y = 5x /(x2 + 2) , x = 1, x = 5, y = 0Find the volumes of the regions. The region in the first octant bounded by the coordinate planes and the surface z = 4 - x2 - yA CAT scan produces equally spaced cross-sectional viewsof a human organ that provide information about the organotherwise obtained only by surgery. Suppose that a CATscan of a human liver shows cross-sections spaced 1.5 cmapart. The liver is 15 cm long and the cross-sectional areas,in square centimeters, are 0, 18, 58, 79, 94, 106, 117, 128,63, 39, and 0. Use the trapexoidal Rule to estimate the volumeof the liver.
- The area of the region is bounded by the x-axis, the curve y = 6x – x2, the line x – 1 = 0 and the line x = 4. 3. Find the ordinate of the vertex of the curve y = 6x – x2. Find the area of the region. Find the distance of the centroid of the area from the y-axis.A rectangular solid with a square base has an area of 432 square meters. a) determine the dimensions that yield the maximum volume b) find the maximum volumeA CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced 1.5 cm apart. The liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 17, 58, 77, 95, 107, 118, 127, 63, 39, and 0. Use the Midpoint Rule with n = 5 to estimate the volume V of the liver.
- Volume generated by revoking the region bounded by the given curve and line about the x axis Y= sqrt(81-x^2) Y=0A right circular cylinder is inscribed in a sphere of radius 10 cm. Find the dimensions of the cylinder that has maximum volume.A CAT scan produces equally spaced cross-sectional viewsof a human organ that provide information about the organotherwise obtained only by surgery. Suppose that a CATscan of a human liver shows cross-sections spaced 1.5 cmapart. The liver is 15 cm long and the cross-sectional areas,in square centimeters, are 0, 18, 58, 79, 94, 106, 117, 128,63, 39, and 0. Use the Midpoint Rule to estimate the volumeof the liver.