Determine the volume of the rotating object using the shell-tube method Volume ( πr2h) Area bounded by x = y2-6y+10, about y-axis! x = 5 y=2x2, about x-axis! y=x3

Q: A volume is described as follows: 1. the base is the region bounded by y = - a² + 12x – 14 and y =…

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Q: 9-x 0=A

A: Solution

Q: Trapizoidal Prisim: 25 m 36 m 17.9 m. 21 m 14 m Volume = m^3

A: Volume of Trapezoidal prism V = 12b1+b2·h·L

Q: A container with a height of 3/2 is made by rotating the curve y = 3/2x^2, Osx<1, about the axis x =…

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Q: please help thank you im confused

A: Step 1:   Step 2: Step 3: Step 4:

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: (a) Required volume                       = 2∫4 πy2dx                       = 2∫4 π{√(25 - x2)}2 dx…

Q: 5 Find the area of the surface Surfe the r hemisphere The part of t that lies between the circular…

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Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

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Q: The volume of an object determined by the two surfaces is z=(x^2+y^2)-2 , z=8-3(x^2+y^2)

A: Let's find.

Q: Draw the region bounded by the curves f(x) = x and g(x) = x². Then use the washer method to find the…

A: Volume bounded by the curves, using Washers method

Q: The base of a three-dimensional figure is bound by the line y = perpendicular to the x-axis are…

A: Given: The base of a three-dimensional figure is bounded by the line y=x+2 on the interval -2,2. The…

Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

Q: 4. The base is the ellipse 4> cross section is a semici the x-axis.

A: Given ellipse equation is  4x2+y2=1 Solve for y y2=1-4x2Take square root on both sidesy=1-4x2 The…

Q: he volumes of the solids generated by revolving the regions bounded by the graphs of the equations…

A: We have to find the volume about the given lines.

Q: The base of a solid is the region enclosed by the circle x^2 + y^2 =9. Cross-sections perpendicular…

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Q: 1. Find the volume of the solid generated by rotating the region bounded by the curves y = x and y =…

A: We have a region bounded by the curves y=x2, y=x2 which is revolved about the line y=-2  The volume…