Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 9 In(x) about the x-axis for 1

Q: Find the volume of the solid obtained by revolving the curve x²=y-3 about x-axis from x=1 to x=3

A: The volume generated by revolving any curve y=f(x) about x-axis  from x=x1 to x=x2 is given by V=…

Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the…

A: We need to find the volume of the solid generated by revolving the region in the first quadrant…

Q: The graph of the volume for solid revolution between the curves y = x+1 and y = O around the x -…

A: Plot the lines and determine the area bounded by these lines. Use the area and the rotation about…

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y=2ln(x)…

A: to find the volume of the solid generated by rotating the curve y=2lnx1≤x≤e about x axis

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 5 ln(x)…

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Q: The region between the curve y = 2/x and the x-axis from x = 1to x = 4 is revolved about the x-axis…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about the x…

Q: . Find the volume of the solid generated by revolving the area bounded by the curve y = In x, the…

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Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 9 1n(x)…

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Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the area…

A: Note down one formula for volume.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: The volume of the solid generated by revolving the region bounded by the curve y = sin x, 0<x about…

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Q: Find the volume of the solid that results when the region enclosed by y = e2", y = 0, x = 0, x = ln…

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Q: Find the volume of the solid of revolution obtained by revolving the region under the curve y = f(x)…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given: fx=3x Solid is generated by rotating fx about y-axis on interval 0,4. To calculate: Volume of…

Q: The volume of the solid of revolution obtained by revolving the region enclosed by the x-axis and…

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Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 1 In(x)…

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

A: The function f(x)=ex revolved about the x-axis over the interval 0,5

Q: Find the volume of the resulting solid if the region under the curve y = 9/(x2 + 3x + 2) from x = 0…

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Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis…

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Q: 3. Find the volume of the solid generated by revolving the curve y = 5Vx between x = 0 and x = 4…

A: We can solve it by cylindrical method.

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the x4 and region in…

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Q: ind the volume of the solid obtained by revolving the curve x2=y-3 about x-axis from x=1 to x=3

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Q: find the volume if it exists of the infinite solid of revolution formed when the area above the…

A: find the volume if it exists of the infinite solid of revolution formed when the area above the…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region…

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

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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: Determine the volume of the solid generated by rotating about the y-axis the region enclosed by y=…

A: Volume of the solid generated by rotating the curve y = f(x) about y axis from x = a to x = b is…

Q: Find the volume of the resulting solid if the region under the curve y 9/(x2 + 3x + 2) from = 0 to x…

A: I am solving only part a for the part b post the question again:

Q: Calculate the eight approximation to the volume of a solid obtained by rotating the graph around the…

A: The given function is y=cosx and the interval is 0,π6. Recall the fact that the volume of the solid…

Q: Find the volume of the solid obtained by rotating the region bounded by the curve y = sin(82?) and…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curve y = sin(5x) and…

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Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 3 ln(x)…

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is…

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Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

A: Solution: By using the cylindrical shell method we have to find the volume of solid revolution of…

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

A: In the question we have to find volume of the region bounded.

Q: The volume of the solid generated by revolving the curve y = 2 x, between x =0 and x=3 about the x-…

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Q: Find a curve such that when the portion of the curve from x = a to x = b is rotated around the…

A: Let the curve be y=fx.  The curve is rotated around X-axis from x=a to x=b.  The surface area of…

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2…

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Q: Find the volume of the solid generated by rotating the region under the curve y=√x from x=0 to…

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Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y=6ln(x)…

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: To solve the following problem

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

Q: b) Revolve the region under the curves y = sin x, y = cos x on the interval [0,-] 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: What is the exact volume of a solid that is formed by rotating the region enclosed by the functions…

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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

A: First we graph the region using a graphing calculator  The shaded region is rotating about the x…