Find the volume of the solid formed by revolving the region bounded by y = (x – 2)2 and y = x about the y-axis.

Q: b- Find the volume of the solid formed by revolving the region bounded by: y=x² –1 from x =-1 to x=1…

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

A: Ans:-  we have to fid the volume of the solid                obtained by rotating the region…

Q: Find the volume of the solid generated when the region enclosed between y = cos x and y = 0for 0 ≤ x…

A: The volume of the solid generated when the region enclosed between y = cos x and y = 0 for 0 ≤ x ≤…

Q: Find the volume of the solid of revolution obtained by revolving the region under the curve y = f(x)…

A: Use formula of volume revolved about x axis

Q: b) [ Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: Find the volume of the solid generated by rotating the region bounded by the curves y = e^x and y =…

A: In the question we have to find the volume of region bounded by the given curves.

Q: nd the volume of the solid generated by revolving the area bounded by y = x2 a axis from [0, 2]…

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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 generated by revolving the regionbounded by the parabola y = x2 and the…

A: To find volume of solid

Q: Find the volume of the solid of revolution obtained by revolving the region under the curve y = f(x)…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by y = cos x, y…

A: By using the washer method we find the volume please see the explanation below

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

A: Given, curves and lines are

Q: Determine the volume of the solid obtained by rotating the region bounded by y = sin x and y = 0 for…

A: When we rotate a thin verticle strip as shown in the figure, about the x-axis We get a Disc with…

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

A: Given is : The curves y=x2+x-2, y=0 The rotation is about the x-axis. We need to find the volume of…

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

A: To find the volume of the solid generated by rotating the region bounded by y=sin2x and y=0between…

Q: Find the volume of the solid generated by revolving the area bounded by x- y2 + 6y-9 0 and x- y-9 =…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 6 cos x; y…

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

Q: Find the volume of the solid formed by rotating the region enclosed by y = e* + 4, y = 0, æ = 0, x =…

A: Consider the given information.

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 6 cos x: y…

A: we giveny=6 cos x, y=ex,x=0 ,x=π6 around the line y=7so, volume of the solid generated b revovlving…

Q: Find the volume of the solid obtained by rotating the region bounded by y = -1+ In r, y = 2, y = 4,…

A: Given function is : y=-1+lnx , y=2, y=4 To find the volume of solid obtained by rotating the region…

Q: Find the volume of the solid generated by revolving the area bounded by x - y² + 6y - 9 = 0 and x -…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 6 cos x; y…

A:

Q: Find the volume of the solid obtained br rotating the region enclosed by y=x, y=x2 about the line y…

A: Find volume.

Q: Find the volume (in units) of the solid generated by revolving the region bounded by the curve y = 4…

A: Use formula to find volume about x axis.

Q: FInd the volume of the solid obtaind by rotating about the x-axis the region under the curve y=√x…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curve y = sin(5x) and…

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Q: Find the volume of the solid generated by revolving 67 from y = 1 to y= 2 about the y-axis.

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Q: Find the volume of the solid that is generated by rotating, about the x-axis, the region bounded by…

A: Please refer the attached image for complete solution.

Q: Find the volume of the solid formed when the region bounded by y=e^x, x=0, x=2, and y=0 is rotated…

A: Sketch the graph of given curves as follows.

Q: .Find the volume of the solid generated by revolving the shaded region about the given axis. x+ 2y 2…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve x = e^y2 y = 1…

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Q: . Find the volume of the solid generated by revolving the region bounded by the y = -a2 + 6x – 8 and…

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Q: Find the volume V of the solid obtained by rotating the region under the graph of f(x) = 1 over the…

A: The given curve is fx=1πx The interval is 1, 4 To find volume V rotated about the y-axis.

Q: 2. Find the volume of the solid generated when the region enclosed by the curve y = x² + 1, y = 4x −…

A: To find the volume of the solid generated when the region enclosed by the curves  y=x2+1 , y=4x-x2+1…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by y = cos x, y…

A:

Q: Find the volume of the solid generated by rotating the region bounded by y = sin²(x) and y = 0…

A:

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2…

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Q: Find the volume of the solid generated by rotating the region under the curve y=√x from x=0 to…

A:

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

A: Given equations: y2=2xx=y22x=2y find the intersection of curves . Make both equations equal and…

Q: Calculate the volume of the infinite solid obtained by rotating the region under y = (x2 + 1) −2 for…

A: Use shell method and find the volume.

Q: find the volume of the solid generated by rotating the indicated region about the given line: y=x2,…

A:

Q: Find the volume of the solid obtained by rotating about the line y=1, the region bounded by y=cosx,…

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Q: Find the volume of the solid of revolution generated by revolving y = (e^−x) + 2around the x-axis…

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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: Find the volume of the solid generated when the region between the graphs of the equation y-1=x and…

A: Volume of the solid generated by the curves  f(x)=y=x+1 and g(x)=y=x , 0≤x≤1 is given by the formula…

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…

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

A:

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

A: First we graph the region using a graphing calculator  The shaded region is rotating about the x…

Q: Find the volume of the solid of revolution generated when the area bounded by the curve y = Vx, y=0,…

A: As per as our I am supposed to answer only one from these two different question . So I will answer…