Find the volume of the solid formed by rotating the area bounded by y = 1 the x- x+1 and y-axes, and the line x=1 around the y-axis.

Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

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Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 –…

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Q: Determine the volume of the solid formed by revolving the area bounded by x2 = 4y– 4, x= - 2, x=3…

A: Given region R is bounded by x2=4y-4x=-3x=3 Region R is shown below

Q: Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the…

A: The given problem is to find the volume of the solid obtained when the region bounded by given…

Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =…

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Q: Find the volume “V” obtained by revolutionizing the region between y=2√x  y  y=x around the x=-2…

A: To find volume obtained by revolutionizing the region between y=2x and y=x around x=-2. y=2xSquaring…

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: . Find the volume of the solid obtained by rotating the region bounded by  y = √x    x = 0, and x =…

A: Given curve y=x, x=0 and x=4. The volume is generated by curve rotating about x-axis.

Q: Find the volume of the solid formed by revolving the region bounded by y = (x – 2)2 and y = x about…

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Q: Find the volume of the solid formed by rotating the region enclosed by 4x y = e about the x-axis. +…

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Q: Find the volume of the solid formed by rotating the region enclosed by у 3 е + 5, у — 0, х — 0, х —…

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Q: Find the volume of the solid generated when the region enclosed by y = \2x + 8, y = x, x = 0 is…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,…

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

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by the graphs of…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = ex + 1, y = 0, x = 0, x =…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 54x – 6x and y = 0 about…

A: Given:y=54x-6x2  and y=0Vx=∫ab 2πx fx dx

Q: Find the volume of the solid obtained by rotating the region bounded by x = -3 + y² and x = -2y…

A: Given the curve is x=-3+y2, x=-2y Outer radius=-3+y2+9=y2+6 inner radius=-2y+9 Intersection point is…

Q: Find the volume of the solid formed by rotating the region bounded by x= g(y) = sqrt(cosecy),…

A: Consider the provided question, We have to find the volume of the solid formed by rotating the…

Q: Find the volume of the solid obtained by rotating the region bounded by y=7x^2, x=1, and y=0,…

A: Given:-     y=7x2                   x=1                   y=0         about x‐axis. ∴volume v=∫ab…

Q: Find the volume of solids figure generated by rotating the area between y = 4x - 1 and thex- axis…

A: Given- The figure generated by rotating the area between y=4x-1, x-axis and the lines x=1 and x=3…

Q: Find the volume of the solid generated when the region between y = sinx and y = 0 for 0 ≤ x ≤ π is…

A: y=sinx  &  y=0  for  0≤x≤π

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

A: To find the volume of solid generated by revolving around the x axis

Q: Find the volume of the solid generated when the region enclosed by y=x^3, x=1, and y=0 is revolved…

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Q: Find the volume of the solid generated by rotating the area bounded by the lines y=x, y=2x and x=3…

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Q: Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x^2,…

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Q: find the volume of a solid obtained by rotating the region enclosed by y=x^2 and y=4 about the line…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=e^x, y=5, and…

A: Given that, Curve is, y = ex,   y = 5 and x = 0 We have to find the volume of solid  by revolving…

Q: Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the…

A: We have to find volume of the solid bounded by given region

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = -4.5, x…

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Q: . Find the volume of the solid formed by revolving the region bounded by the curves y = x² and y =…

A: This question is based on application of Integration.

Q: Find the volume of the solid obtained by rotating the region across the x-axis.

A: We have to find the volume of the solid obtained by revolution the region bounded by : f(x)=ex3+e2x…

Q: Find the volume of the solid generated when the plane region bounded by: y=e^(-x^2 )  and the…

A: The given problem is to find the volume of the solid generated when the given plane region in…

Q: Find the volume of the solid formed by rotating the region enclosed by  y = e ^5x + 2, y=0, x=0,…

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Q: Find the volume of the solid generated by revolving about the y-axis, the area bounded by y = x^2 ,…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves: x=0 and…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,…

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Q: Find the volume of the solid of revolution formed by rotating the region bounded by the x- axis, the…

A: Given x=y2 ,x=y find the volume of the solid about y- axis

Q: Find the volume of the solid generated by rotating the area bounded by the y=sqrt(x-1) and y=(x-1)^2…

A: Given:y=(x-1)    and    y=(x-1)2 To find out: The volume generated by rotating the area bounded by…

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: Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 , x =…

A: Given curve: y= x3 At x=2, y =8 At x=0, y=0 We know that  The volume of the solid formed by…

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

A: The equation pf the curves are : C1 : y2 = x ⇒ y = x C2 : x = 2y Axis of revolution : y-axis To…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y=x-1, y=D0,…

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = elx + 3, y = 0, x = 0, x…

A: Plot the curves and find the enclosed region. The shaded region represents the enclosed region.

Q: Find the volume of the solid obtained by rotating the region bounded, by y x2 - 2x and y = x about…

A: The region bounded by the curves y=x2-2x and y=x about the line y=4 is as shown above.

Q: Find the volume of the solid formed by rotating the region bounded by the y.x=5 curve and the y…

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Q: Find the volume of the solid obtained by rotating the region bounded by -6+ y² and x = y about the…

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Q: Find the volume of the solid formed by rotating the region bounded by y = x² + 3, x = 0, x = 2, and…

A: The solid is formed by rotating the region y=x2+3, x=0, x=2 and y=0about the x-axis

Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0…

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