1. Obtain the volume of the region rotated to the right of the y-axis and to the left of the curve x = 2y – y² about the y-axis. |

Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y=(x-2) and…

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Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: 2. Find the volume of the solid generated by revolving the region under the curve f (x) = x² + 1…

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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: Find the volume of the solid of revolution when the region below y = x +1 and between x = 0 and x =…

A: Explained below

Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: Find the volume.

A: Find the region R in the x-y plane.The x-axis is y = 0 and y axis is x = 0 line.R is the region…

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

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Q: 2. Find the volume of the solid obtained when the region between the graph the y = f (x) = Vĩ and y…

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Q: 4. (a) Find the volume of the solid generated when the region enclosed by y = -. 6-x2 and y = 0 is…

A: Given the solid generated when the region enclosed by  y=−6−x225  and  y=0   is revolved around the…

Q: - Find the volume of the solid generated by revolving about the line x = 1 the region bounded by the…

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

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Q: 10. Find the volume of the solid obtained by rotating the region bounded by y = x³. x = 0, and x = 1…

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Q: sketch the solid obtained by rotating the region underneath the graph of the function overthe given…

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Q: Suppose that RR is the finite region bounded by  y=x, y=x+4, x=0, and x=2. Find the exact value of…

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

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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: The volume generated when the area of the finite region enclosed by the x-axis and the curve y = x –…

A: Given curve is y = x-x^2

Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y= (x- 2)° and…

A: We first find the intersection of these two curve

Q: 3. Find the volume of the solid whose base is the region in the first quadrant between the curve y=…

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Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

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 of the solid generated when the region bounded by y = ex, x = 0, x = 2 and the…

A: Note: As per our guidelines we are instructed to solve only one problem. Hope you understand.    The…

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 by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given: y=6x, x=2 and x=4

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: sketch the solid obtained by rotating the region underneath the graph of the function overthe given…

A: The volume of the function, f(x) about y axis in the interval [a,b] is given as,

Q: ind the exact volume of the solid generated by revolving the region bounded by the given curves…

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Q: Find the surface area of the volume generated by the curve y = x^3/3 from x = 1 to x = 2 revolved…

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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 =…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: 4. Find the volume of the solid formed by rotating the region under the graph of f(x) = 1 on [0, 3]…

A: Volume of a solid generated by rotating the graph of a function can be determined using the method…

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: Q2: Find the volume of the solid whose base is the region inside the curve x - y =c and y = c such…

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Q: Set up the integral that gives the volume of the solid enclosed between the curves y=1/2x, x =2, x=4…

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Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

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Q: 1. Find the volume of the solid generated when the region bounded by y = 9-x2 and y = 2x + 6 is…

A: Given:       y=9-x2      y=2x+6 The volume for solid of revolution between curves is the volume of…

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: 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: 1 3) Consider the region bounded by the graphs of y =-x, y= V4-x , and y=0. 3 c) If this region is…

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Q: Let M be the region in the first quadrant bounded above by the graph of y = 3x and below by the…

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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: 5. Use Shells to find the volume of the solid generated by revolving the region in the first…

A: FORMULA FOR CYLINDERICAL SHELL METHOD V=2π∫ab(x-h)f(x)dx According to question, The volume is in…

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. Find the volume of the solid that lies under the paraboloid z = x² + y² and above the region…

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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…

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Q: A region in the xy-plane has a z-output given by the equation z = In(x²) + 2xy – e*y. Determine the…

A: Given a region in the xy - plane : z=lnx2+2xy-exy We need to find the volume between the xy - plane…

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A: To find the Volume V.  Given that f(x) = ln(x).

Q: sketch the solid obtained by rotating the region underneath the graph of the function overthe given…

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Q: The volume, when the curve y = √3+ x2 from x = 0 to x = 4 is rotated about x-axis is O100m cu units…

A: Given:    y=3+x2 from x=0 to x=4  Volume of the curve V=π∫abfx2dx