Find the volume generated by revolving the region bounded by y=−x^4+3x^3, y=0  revolving about the x − axis. Show the element of area on the grid provided.

Q: Given an area D bounded by curve y = 4x−x^2, line x+y = 6, and y-axis. Find the volume if the area D…

A: We are given an area D bounded by curve y = 4x - x2, line x + y = 6, and y-axis. We need to find the…

Q: An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump…

A: The aquarium is  long,  wide and  deep.We have to  calculate the work needed to pump half of the…

Q: Find the volume of a solid whose base is the unit circle x^2 + y^2 = 1 and the cross sections…

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Q: find the volume generated of the area bounded by x^2 = ay, the x-axis and x = b which is revolved…

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Q: Determine the volume if the area common with y^2 - 3x + 7y = 8 and x^2 - 4x +3 = y^2 is revolved…

A: Integration of function under certain limits with respect to any of the axis gives the area under…

Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: Calculate the volume generated by the circle x^2 + y^2 -4x=-3 that revolves around ox

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Q: Find the abscissa of the centroid of the area bounded by the parabola y = x^2 and the line y = 2x +…

A: x=∫∫R x.ρ(x,y) dA∫∫R ρ(x,y) dA ,   y=∫∫R y.ρ(x,y) dA∫∫R ρ(x,y) dA  Centroid=( x  ,y )

Q: right circular cylinder has a volume of 27 m^3 and a surface area of 18+18π m^2. What is the…

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Q: The volume of the sphere is increasing at the rate of 6cm^3/hr. At what rate is its surface area…

A: Given that the volume of the sphere is increasing at the rate of 6  cm^3/hr. We have to find the…

Q: Rachel deposits $12,000 into a fixed asset account that earns 6% compounded quarterly. What is…

A: Formula:      where FV = Future Value          PV = The principal amount (the initial amount of…

Q: A cubical box has interior measurement of exactly 3 meters long along  each edge. If the material…

A: To approximate the volume of the material used in constructing the box, we can consider the…

Q: Find the surface area of  a sphere when the volume is 750 m^3

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Q: Given the funcion: ((x^2)/9)+(((y^2)/9)e^0.2x)=1    revolve around the x-axis to create an egg. Find…

A: The given equation is x29+y29e0.2x=1.We can plot the solid of revolution as

Q: The base of a solid is the region enclosed by the ellipse 2x^2+y^2=8. Find the volume of the solid…

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