Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 2. show all steps

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A: A box with square base has surface area 20we have to find its dimension and maximum volume.

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A: Draw the diagram for the given problem for the given conditions and then find the volume

Q: Find the dimensions of the rectangular box of maximum volume that has three of its faces in the…

A: Let say that(a,b,c) is point in plane 4x+3y+z=12 and it is one vertex of requested rectanglar box.…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: The given equation of plane is : x+2y+3z=6 x=6-2y-3z                   …(1) Volume of a rectangular…

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: 2. The area of the parabola x2 = 4y – 4 cut through its latus rectum is revolved about the…

A: 2) Parabola; x2=4y-4End points of the latus rectum (-2,2) and (2,2)vertem = (σ 1)using washer method

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: Find the volume of the solid whose base is bounded by the circle x2 + y2 = 16 and whose cross…

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A: Sketch the base of the solid as follows.

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A: Given the base of the solidy=25-x2 , y&gt;0The intersection of the base with the x-axis :Put y =…

Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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Q: Find the volume of the and the coordinate planes. tetrahedron bounded by 2x-y +z = 4

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

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Q: Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z…

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Q: Find the volume of c such that the area of the region bounded by the parabolas y = 16x2 - c2 and y =…

A: Given parabolas are y1=16x2-c2y2=c2-16x2 The area between the given parabolas is 1283

Q: Use calculus to find the volume of a tetrahedron​ (pyramid with four triangular​ faces), all of…

A: If a solid is from x =a to x= b and the area of its base is A then the volume of the solid is given…

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A: The graph is drawn as :

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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A: To find: Volume of the solid

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Q: Find the rectangular box of maximum volume if the sum of the lengths of the edges (x + y + z) is 324…

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Q: What are the dimensions of a closed recrangular box that has a square cross section a capacity of…

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Q: Find volume of square revolved around y-axis given following points: (4,5), (4,1), (6,3), (2,3)

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Q: The area in the first quadrant bounded by a parabola 12y = x2, the y=axis, and the line y = 3,…

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Q: Find the volume of the solid whose base is the semicircle y = v9 – x2 where -3 < x < 3, and the…

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