Q4/ Find the volume of the solid generated by revolving the region in the first quadrant bounded by y x' and y = 4x about the x-axis. %3D

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

A: Topic:- application of integration

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: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py =…

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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: Find the volume of the solid obtained by revolving the region bounded by the graph of f(x) = 8e-lx,…

A: Given the curves: fx=8e-7x, x axis, y axis, x =6rotated about y axis

Q: Q3/ Find the volume of the solid generated by revolving the region bounded by y = 3/(2√x), y = 0 &…

A: We have to find the volume of the solid generated by revolving the region bounded by y=32x, y=0 and…

Q: Find the volume of the solid formed by revolving the region bounded by the graph of x = e−y2 and the…

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Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: Find the volume of the solid formed by rotating the region bounded by y = e^(2x) and y = 2Vx from x…

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Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

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Q: Determine the volume of the solid formed by revolving the area bounded by y= x- 2x and y=0 about the…

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x)and the x−axis…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y = √x and y = x^2…

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Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 -…

A: Given,

Q: Q4/ Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

A: If is a function, then the independent variable x is called the input of the function and the…

Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by curves (y =secx and y=cos…

A: The objective is to find the volume of the solid generated by revolving the region bounded by curves…

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

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

A: Given: y = x,  y = x2  To find: Volume of the solid formed by revolving the region bounded by the…

Q: Find the volume of the solid generated by revolving the region bounded by the y = 2x - x2 and y = 0…

A: Find out the volume of the solid generated by revolving the region by the y=2x-x2 and y=0 about the…

Q: Find the volume of the solid generated by revolving the region under the curve y=: for 0<<1, about…

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Q: Find the volume of the solid generated by revolving the region bounded by the y = x2 and y=6x-2x2…

A: Given that y = x2 and y = 6x- 2x2 and we find volume about the y-axis and plot the graph. Here i…

Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y=√(x), x=4…

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Q: Consider the region in the first quadrant under the line y = 3 and above the curve y =√x. Find the…

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Q: 1.

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Q: Q3: Calculate the volume of the solid obtained by rotating the region bounded by the curve y = 2x -x…

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Q: Find the volume of the solid formed by revolving the region bounded by the graph of the equation…

A: ⇒The volume of the solid formed by revolving the region bounded by the curve  y = f (x)        and…

Q: Q3: Find the volume of the solid generated by revelving the region bounded by the curves: y = secx,…

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

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: The volume of the solid rotating a curve about y-axis is given by the formula, V=∫cd πx2 dy  where c…

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: Q16 about the line y = -2 Find the volume of the solid obtained by rotating the region bounded by…

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Q: Find the volume of the solid generated by revolving the region bounded by the x2 -y2 = 9; x+y = 9; x…

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Q: Find the volume of the solid generated by revolving the region bounded by the y = 4x - x2 and y = 0…

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Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y = 0 &…

A: Given : y = cos x , y = 0 0 ≤ x ≤ π2   To find the volume of the solid generated by revolving the…

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = vcos x, y = 0 &…

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Q: Q3\ Find the volume of the solid generated by revolving the region between the y-axis and the curve…

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Q: find the volume of the solid obtained by revolving the region bounded by y = x - x2 and the x - axis…

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

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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: Find the volume of the solid generated by revolving the region enclosed by the graphs of y =…

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Q: Find the volume of the solid generated by revolving the region bounded by the y = x?and y = 6x– 2x2…

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Q: Q2|| Find the volume of the solid generated by revolving the region bounded by the curve -= X…

A: Volume of revolution

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

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

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 x=y-y2; x=0 revolving at y-axis

A: Given problem:- Find the volume x=y-y2 ; x=0 revolving at y-axis

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. y 3

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Q: Please show steps.

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Q: find the volume of the solid formed by revolving the region bounded by y = sinx and the x-axis from…

A: From the volume of solid formed by rotating the given function y