The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = 8, y =x + 7/x, about the x = -2

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

A: Ans:-  we have to fid the volume of the solid                obtained by rotating the region…

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

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Q: Consider the region bounded by the graphs of y = x √16 - x2, y = 0, x = 0, and x = 4. Find the…

A: According to the shell method, the volume of a solid generated by revolving the region about the…

Q: Find the volume of the solid generated when the region enclosed between y = cos x and y = 0for 0 ≤ x…

A: The volume of the solid generated when the region enclosed between y = cos x and y = 0 for 0 ≤ x ≤…

Q: Find the volume of the solid S generated if the region is bounded by y = sec x, the x - axis, the…

A: Given:    Region y=secx line x=π4  Volume of solid V=π∫abfx2dx   here f(x)=secx            a=0…

Q: Find the volume of the solid that results when the region enclosed by x = 0, x = 4, and y = 0 is…

A: The volume for a solid revolution between the curves is the volume of the object between a curve fx…

Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=1/x…

A: Given curve: Now, The voulme of solid obtained by rotating the curve 'y' about the x-axis on the…

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

A: Solution is given below..

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

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

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Q: Calculate the volume V of the solid obtained by rotating the region under y = x2 about the x-axis…

A: To find the volume V of the solid obtained by rotating under a region, use the formula, V=∫abπ(y)2dx…

Q: 22. Find the volume of the solid obtained when the region under the curve y=Vx over the interval…

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Q: A region bounded by f(x) = 5 – x, y = 1, x = 1, and x = 3 is shown below. Find the volume of the…

A: The function of the curve is fx=5-x, y = 1, x = 1 and x= 3. The graph of the curve is shown above in…

Q: The region enclosed between the curve y²= kx and the line x = ¼k is revolved about the line x = ½k.…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the…

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Q: The base of a solid is the region between the curve, y (p +x) = x2(3p – x), 0 0 and the X – axis.…

A: Volume is a 3-dimensional quantity which describes the amount of space available inside the solid.…

Q: The region bounded by y 3 y = 0, x = 1, and x = 3 is rotated about the x-axis. Find the volume of…

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Q: The region bounded by f(x) = - 4 sin x, x = T, x = 27, and y = 0 is rotated about the y-axis. Find…

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Q: find the volume of the solid generated by revolving the shaded region about the given axis.

A: From the given figure, the volume of solid can be obtained as follows. V=π∫0π2y2 dx=π∫0π2sinx cosx2…

Q: Consider the region bounded by y = ex/4, y = 0, x = 0, and x = 6. Find the volume (using the…

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Q: Find the volume of the resulting solid if the region under the curve y = 9/(x2 + 5x + 6) from x = 0…

A: Given that  y=9/(x^2+5x+6) To determine the volume about x axis and y axis

Q: The base of a solid is the region bounded by y=cos(x) from x=0 to X= T/2. Find the volume of the…

A: L as the cross section generated are perpendicular to x-axis then area will be function of x donated…

Q: Find the volume (in units) of the solid generated by revolving the region bounded by the curve y = 4…

A: Use formula to find volume about x axis.

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2*, y =…

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Q: 5. Use the shell method to find the volume of the solid obtained by rotating the shaded region about…

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Q: 1. Find the volume of the solid generated when the region bounded by y = 9 - x? and y = 2x + 6 is…

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Q: Consider the region bounded by the graphs of y = ln x, y = 0,and x = e. Find the volume of the solid…

A: To Determine: Consider the region bounded by the graphs of y = ln x, y = 0, and x = e. Find the…

Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: The region bounded by the given curves is rotated about y = 7 x = (y – 9), x = 4 Find the volume V…

A: and the vertical line is  make a rough sketch

Q: 1. The region bounded by the curves y =7x and y=x² is rotated about the x-axis. USE THE METHOD OF…

A: Two given curves are  y=7x  (i)y=x2  (ii) The region bounded by these two curves is R and R is…

Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx…

A: Given Equation y=√x ,x=4 and y=0

Q: 3. Find the volume of the solid generated by rotating the region bounded by the graph of y = 2x – x2…

A: Given: y=2x-x2 and x axis about  y -axis

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: The region bounded by f(x) = - 3x? + 15x + 42, x = 0, and y O is rotated about the y-axis. Find the…

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Q: 2. Find the volume of the solid generated by revolving the shaded region about the given ах x+ 2y -…

A: I use cylindrical shell method for both Questions

Q: 1. The region bounded by the curves y = 5x and y=x² is rotated about the x-axis. USE THE METHOD OF…

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Q: The region bounded above by y=2x and below by y=x2 is revolved about the y-axis to generate a solid.…

A: The cylindrical shell method is method of calculating the volume of solid of revolution when…

Q: 3. Find the volume of the solid obtained by rotating the region bounded by the curve y = x + 1, y=0,…

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

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Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: *Find the volume of the solid generated by revolving the area bounded by the given curve about the…

A: Given: The area bounded by the curve, y2=4x, x2=4y.

Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

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Q: Consider the region bounded by the graph of y2 = (4-x)^2/(1+x)^2 on the interval [0, 1]. Find the…

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Q: 1. Find the volume of the solid that results when the shaded region is revolved about the X - AXIS.…

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Q: Find the volume of the resulting solid if the region under the curve y = 6/(x² + 3x + 2) from x = 0…

A: By using disk method we solve the given problem as follows :

Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = VT, x = 3 and the…

A: Use volume formula about x axis

Q: Find the volume of the solid generated by revolving the specified region about the given line.…

A: From the given region R;   Apply the cylindrical shell method, to find the volume of the revolution…