Find the volume generated by revolving the area enclosed by the curve x-+y3D25 about the line x+10-D0. O A 250pi2 O B. 500pi OC.250pi D.500p2

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the…

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 80,0 < 0 <…

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

A: NOTE: Refresh your page if you can't see any equations. .

Q: A/ Find the volume generated by revolving the area bounded by x = y-1 and y =5 around the x-axis?

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

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 solid generated by revolv- ing the shaded region about the given axis. About…

A: The given figure is where the bounded region is rotated about y axis from y=0 to y=1.

Q: 3. Find the volume generated if the function y =/1-x is revolved around the x-axis. (use the only…

A: If y=f(x) 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 the area bounded by the given curves about the…

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Q: Find the volume of the solid generated when the region enclosed by y = sqrt(x), y = 0, and x = 49 is…

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Q: 6. Find the volume generated by rotating the curve y = e-® about the x-axis on the interval [0, ∞)

A: The given problem is to find the volume of the solid generated by rotating the curve y=e-x about the…

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky +…

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

Q: The volume of the solid generated when the area bounded by the curves x = y? and y² – 2x + 4 = 0 is…

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Q: Find the volume generated by revolving the area enclosed by the curve x^2+y^2=16 about the y-axis.

A: here volume is ∫πy2dx here the limit is if we put y=0 in equation so x range from -4 to 4 so   V=…

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

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Q: Find the volume of the solid generated by the curve f(x)=4-cosx revolved 360° about the x- axis in…

A: We calculate the required volume using integration. ∫4-cos x2dx=∫16-8 cos x + cos2 xdx=∫16-8 cos x…

Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and…

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Q: Find the volume generated by revolving the curve y = cos(2x) about the x-axis, 0 < < 4

A: Given:       y=cos(2x) , 0≤x≤π4

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: Find the volume generated by revolving the region enclosed by x -y and y=x+2 about у-аxis.

A: We have to find the volume.

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 by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given: y=6x, x=2 and x=4

Q: Find the volume generated by revolving the area encloscd by the curve x' + y = 25 about the line y -…

A: answer  B correct

Q: Determine the volume of the solid of revolution formed by revolving the area bounded by y = 4ax and…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = tan-1x, x =…

A: The region is shown below:The intersection point of the curve tan-1 x with the line y=pi/4, will be…

Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

A: Solution: By using the cylindrical shell method we have to find the volume of solid revolution of…

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y? = 9 about the x-axis.

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Q: The area enclosed by y = 4x - x^2 and 2y = 2x + x^2 is revolved about the line x = -1. Using a…

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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 that results when the region enclosed by x = y? and x = y is revolved…

A: The region is enclosed by the curves x=y2 and x=y revolved about the line y = -3

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Find the volume generated by revolving the area enclosed by the curve x^2 + y^2 = 25 about the line…

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Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x2 +9y² =…

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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 generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Find the volume of the solid that is obtained by revolving the region about the indicated ax About…

A: Explanation and solutions is given below....

Q: Find the volume generated by revolving the area enclosed by the curve x² + y = 25 about the y-axis.

A: We have the curve x2+y2=25 rotated about y-axis.

Q: Find the volume rotated about the x-axis

A: Formula

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

A: this problem is solved using shell method..

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the y-axis.

A: Consider the given equation of the circle and find function f(x). Plot the function f(x) and find…

Q: Find the volume, if an area bounded by an asteroid I = cos t y = sin³ t ve y = -/I+x ,y-axis, and…

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Q: 3. Find the volume of the resulting solid of revolution located in the first quadrant bounded by the…

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Q: Find the volume of the solid of revolution when the curve y = x³ +1 is revolved around the x-axis on…

A: The given curve is y=x3+1 To find the volume of the solid revolution when the curve y=x3+1 is…

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

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Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x+ about the y-axis.

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the…

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y? = 25 about the y-axis.

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Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x* about the y-axis.

A: Hint: First obtain the values of x for which y is zero to obtain the limits of the integration. Now,…

Q: Find the volume of the solid generated by revolving the shaded egion about the y-axis. x- 4 tan y 4

A: Topic:- application of integration