A box with a square base with side length b and height h and with an open-top must have a volume of 500 cm 3 . Find the dimensions of the box ( b and h ) that minimize the amount of material used.

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Q: 5. Determine the volume of a solid revolution by rotating the area bounded by the parabola (y-2)² =…

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Q: 105. Find the volume of the solid under the surface z = x and above the plane region bounded by x =…

A: Given that  Z=x^3 To find teh volume of the solid region

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A: The region is bounded by y=12x2 and y=2. We have to find the diameter of the hole.

Q: Find the volume of the solid bounded by the graphs of the sphere x² + y² +z? =16 and the cylinder…

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A: Topic = Volume

Q: Let h=f∘g where f:R2→R and g:R2→R2 is defined by g(x,y)=(−3x2y,3x+3y). Find the derivative h′(1,2)…

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Q: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by y =…

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Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…

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Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…

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