2. Find the volume of the region bounded by y = vx and y 4x rotated about the x-axis.

Q: Let M be the region in the first quadrant bounded by the graph of y=3x+2, the graph of y=x+2, and…

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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: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the volume of the region bounded by √x and y=x rotated about x = -4.

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Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Given

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 10 + x2 + 3y2 and below…

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Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: Find the volume generated by the area bounded by the parabola x = Vay , and the line y = b that is…

A: As per our guidelines, we are suppose to answer only one question. kindly repost the question as the…

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

A: Given:

Q: 4. Find the volume of the region bounded by y = -x+1, x = 0 and y = 0 revolved about the x-axis.

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Q: , Find the volume of the solid. The region bounded by y = 2x – x? and y = x about a. The y - axis b.…

A: a We have to find the volume of the solid      bounded by y = 2x-x2 and y=x about y-axisFor point of…

Q: Find the volume of the solid formed when the region bound by y = e* + 3, x = 0, x = 3 and the x-axis…

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Q: What is the volume of the region bounded by the lines f (x) = x²,x = 2, and y 49 rotated about the…

A: Given data:     The given equation is: f(x)=x2. The second equation is: x=2. The third equation is:…

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: Find the volume of the region en-closed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: 4.Find the volume of the solid that is obtained by rotating the region bounded by y = /x +1, y = Vx…

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Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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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: b) Determine the volume of the solid generated by rotating the region bounded by y = V2x and y =…

A: We have given the curves

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: Find the volume of the region bounded above by the paraboloid z = x2 + y2 and below by the square R:…

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Q: Find the volume of the region bounded by y = √x and y = x rotated about x = -4.

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Q: 4. Find the volume of the region bounded by y = - x+1, x = 0 and y = 0 revolved about the x-axis.

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Q: Find the volume of the solid that results when the region bounded by x=y^2 and x=4y+5 is revolved…

A: Given: To obtain the volume of the solid when the region bounded by x=y2 and x=4y+5 is revolved…

Q: 2. Find the volume of the region bounded by y = x3 and y = x rotated about %3D the x-axis.

A: In this problem we can use washer method to find the volume of the solid of revolution. Washer…

Q: 2. Find the volume of the solid generated by revolving about the x – axis the region bounded by the…

A: Topic = Volume

Q: 2) Find the volume generated by the area bounded by y = x², y = 4x, revolved about x-axis.

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Q: Find the volume of the region bounded by y=x^3 and y=x rotated about the x-axis.

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Q: 2) Use the Disk/Washer method to find the volume of the solid created by rotating the region bounded…

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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: Find the volume generated when the area bounded by the two curves of x^2 = 4y and y^2 = 4x is…

A: We will find out volume of solid of revolution.

Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

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: 1. Obtain the volume of the region rotated to the right of the y-axis and to the left of the curve x…

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Q: Find the volume of the region bounded by y = Vx and y = x rotated about the x-axis.

A: The graph is where red curve represents y=x and blue line represents y=x.

Q: (4) Find the volume of the solid obtained by rotating the region bounded by y y=√x about the y = 1.…

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Q: 9) Find the volume of the region bounded by y = x + 1 x +1' Y = 0, x = 0, and у %3D0, х%3D x = 4…

A: The formula for the washer method around the x-axis is V=π∫abf(x)2-g(x)2dx where f(x) is the top…

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: 5. Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about…

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Q: Let M be the region in the first quadrant bounded by the graphs of y=arctanx and y=(πx)/4. What is…

A: Given, y=tan-1xy=πx4 Revolving around x=2   To find: The volume of rotation of the bounded region.…

Q: 1. Find the volume of the solid generated by revolving the region bounded by the parabola x =y? and…

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Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y - y, x…

A: *to find:- Volume of revolution of solid.

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about…

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Q: 2. Find the volume of the solid generated by revolving the area bounded by the given curve x + y =…

A: Given: x+y=6, y=3, x=0 for finding the volume, first we draw region bounded by given curve as below

Q: 2. Find the volume of the solid generated by rotating the region bounded by y =÷x³ and %3D y = 6x -…

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Q: B. Find the volume of the solid generated when the plane region bounded by 3. y = e-x² and the x –…

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Q: Use the best method available to find the volume of the region bounded by y=e^x-1, y=2-x and the…

A: Question has two sub parts. Each of them is quite lengthy. I have run out of steps that can be added…

Q: 15. Find the volume of the solid obtained by rotating the region bounded by xy = 4 and y = (x – 3)…

A: Given :  xy=4  and  y=x-32. Therefore, x-32=4x⇒xx2-6x+9=4⇒x3-6x2+9x-4=0⇒x-12x-4=0Therefore, x=1 ,…

Q: Find the volume of the solid that results when the region bounded by x = y and x = 3y + 10 is…

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Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about…

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Q: Find the volume of the region bounded by y= √x and y=4x rotated about the y-axis.

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