1. Find the volume generated by revolving about the x-axis the area bounded by the lines y 2x + 1, y = 0, x = 1 and x = 2. %3D

Q: 5. Find the volume generated by revolving the area under the eurve y = e from x = 0 to x = 1 (a)…

A: Given problem is :

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Q: Let A1 be the region bounded by y = 5x (1−x) 2 and the x-axis between x= 0 and x= 1. Find the…

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Q: 3.) Find the volume generated by revolving about the x-axis the areas bounded by the following…

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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: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: 30. Find the volume obtained by rotating the region bound by the graph y = e²+e-2#, x = -2, x = 3…

A: Given that the region is bounded by y=ex+e-2x,  x=-2, x=3, y=0.And the region is rotated about…

Q: 1/ Draw the functions , 2/ Find the volume of the solid generated by revolving region bounded by…

A: the given question is taken from calculus in which we have to find the volume of solid generated by…

Q: 3. Find the volume generated if the function y =/1-x is revolved around the x-axis. (use the only…

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Q: Given the area in the first quadrant bounded by the curve x^2 = 8y, the line x = 4 and the x – axis.…

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Q: 3. Find the volume generated(shell) if the area bounded by the curves y = e¬x´, y = 0, x = 0 x = lis…

A: See the details solution in below

Q: 1- Find the volume of the solid obtained by rotating the region bounded by the curve y = cos x and…

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Q: ( e) Find the volume formed by rotating the region enclosed by: x = 3y and y = x with y > 0 about…

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Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

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Q: E. Find the volume generated by revolving the region enclosed by x = -y and y=x+2 about y-axis. 20%

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: 1. Find the volume generated by revolving the area bounded by the curve y = (1 – x²)² and the x–…

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

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Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

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Q: 3. If the region bounded by the curves y =x, y=0, and x =9 is the base of a solid, and cross…

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Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: Given that R is the area bounded by the curve y = 9 – x^2 and y = 5. Calculate the volume of the…

A: Given that R is the area bounded by the curve y=9−x2 and y=5. We have to calculate the volume of the…

Q: 2 - Find the volume generated by revolving the area under the curve y = e* from X= o to = ) (a)…

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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: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: 30. Find the volume obtained by rotating the region bound by the graph y = e"+e-2#, x = -2, = 3 and…

A: We first sketch the region using a graphing calculator.

Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

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: Given a curve having an equation of y2 = 4x. a) Compute the area bounded by the curve and the line…

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Q: 3. Find the volume generated by revolving about the x-axis in the second quadrant under the curve y…

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Q: What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5…

A: the volume (V) formed by revolving the curve y=f(x) about the x-axis bounded by x=a, x=b (b>a) is…

Q: What is the volume br^3 of the rotating body obtained by rotating the graph of the function y = x2…

A: Please refer to the image below

Q: Find the volume generated if the area bounded by curve y = x^2 and the line y = 2x+ 3 is revolved…

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Q: 3. Find the volume when the part of the curve y = x + 1 between x = 1 and x = 2 is rotated through…

A: Here we have to find the volume when the part of the curve y=x2+1 between x=1 and x=2 is rotated…

Q: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

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Q: 1. Use your preferred method to calculate the volume of the solid obtained by revolving the region…

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Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = T…

A: Given that y=x2, x=0, y=2-xaround the line x=1find the volume

Q: 3. Find the volume generated when the region defined by y = x, y = 2x/(1+ x³) is revolved around the…

A: NOTE : As per Bartleby rules incase of multiple questions only one is answered. Please upload others…

Q: Suppose that R is the finite region bounded by y = x, y = x + 1, x = 0, and x = 5. Find the exact…

A: In the Given Problem we have to find Volume bounded by  y=x , y=x+1 , x=0 and x=5 about x-axis   As…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: If the area bounded by the parabola y = x² and the line y = x is revolved about the x – axis, the…

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Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

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Q: y = In(x), x =1, and x = e

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Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: 6. Find the volume if the area bounded by the curve y = x3 + 1, the x-axis and the limits of x = 0…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

A: This is a problem of the volume of rotation

Q: 18. Find the volume of the solid obtained by revolving the region under the graph of y = 5- on [1,…

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Q: Given that the area R is limited by the curve y = x + 1, y = −x + 1 and the line y = α, 0 ≤ α ≤ 1.…

A: Given the bounded region: Rotation about x axis Volume of solid of revolution = 2π3

Q: 15. Find the volume by the parabole y² = of the solid generated by revolving y-axis, the area…

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