Find the volume of the solid generated by revolving the region in the first quadrant bounded above by the line y = 2, below the curve y = 2sinx ,0

Q: Find the volume of the solid obtained by revolving the curve x²=y-3 about x-axis from x=1 to x=3

A: The volume generated by revolving any curve y=f(x) about x-axis  from x=x1 to x=x2 is given by V=…

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

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Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the…

A: We need to find the volume of the solid generated by revolving the region in the first quadrant…

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line…

A: Follow the procedure given below.

Q: Find the volume of the solid generatedby revolving the region bounded by the x-axis and the curvey =…

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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 of revolution formed by revolving the region bounded by y = f(x) = 2x -…

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

A: Consider the curves, y=2x+3,y=0,  x=0    to  x=3 Consider the region:

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = x^2 and…

A: Given, The parabola, y=x2 and the line y=1 about the line y=1.

Q: Find the volume of the solid formed by revolving the region bounded by f (x) = 4x – x² and the…

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

Q: Find the volume of the solid obtained by rotating the curve y=x^2 , y= square root x , the lines x=0…

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Q: Find the volume of the solid formed by revolving the region bounded by y = sin 2x, x = 0, and x =…

A: We need to find the volume of solid formed by revolving the region bounded by the curve about the…

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

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

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

A: The equation of the line is y=2 and the equation of the curve is y = sec(x)tan(x)  The intersection…

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: We have to find out volume generated by two given curves

Q: Find the volume of the solid of revolution formed when the region under the curve y = x over the…

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

A: We will find the volume of revolution as following.

Q: Find the volume of the solid generated by revolving the region between the curves y = x² and y = vx…

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Q: Determine the volume of the solid obtained by the revolution of the region bounded by the curve y =…

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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 generated by revolving the region bounded by the curves y = 1 – |x| and…

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

A: Given : Curves y = 3x2, x = 0 and y = 3   To find : Volume of solid formed by revolving the region…

Q: Find the volume of the solid generatedby revolving the region bounded by the x-axis and the curvey =…

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

A: We will do it by calculation

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

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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 obtained by rotating the region bounded by the curve y = sin(5x) and…

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Q: Find the volume of the solid that results when the region enclosed by the curves y = cos x and y =…

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Q: find the volume of the solid generated by revolving the region bounded by the curves…

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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 of the solid generated byrevolving the region in the first quadrant bounded by the…

A: Given-y=cosx, 0≤x≤π2 To find- the volume of the solid generated by revolving the region in the first…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y=x and y=4x –…

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Q: Find the volume V of the solid formed by revolving the region bounded by the graphs of y= T – y = 0…

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

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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 obtained by rotating the region bounded by the curve  y=sin(10x^2)…

A: The volume made by full revolution of area under y=f(x) about y axis between limits x=a and x=b is…

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

A:

Q: Determine the volume of the solid obtained by the revolution of the region bounded by the curve y =…

A: We can find the volume by taking the integration with respective limits as below

Q: y = Vx + 1 + x and the x-axis from x = 0 to x = 3 about the y-axis.

A: When rotating about y axis, we should use shell method to find the volume. The formula for volume is…

Q: Find the volume of the solids generated by revolving the region bounded by the curves y = 7r² and y…

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Q: Find the volume of the solid generated by revolving the region bounded on the left by the parabola x…

A: (a)Given information:

Q: Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid…

A: Given:

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

A: x=y-y2 x=0 So, y-y2=0 Or, y(1-y)=0 So, y= 0, 1

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 in the first quadrant bounded by the…

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

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Q: Find the volume of the solid obtained by revolving the region between the graph of y2 − x2 = 1 and…

A: We first sketch the region using a graphing calculator.  The shaded region will rotate about y=2…

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