24 22. Find the volume generated by revolving about Ox the area bounded by the Ans. ra³. hyperbola xy = a², the line x = a, and the x-axis.

Q: Q2A. Find the volume generated by revolving the shaded area shown in the fig below about X-axis TO…

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Q: d. With the aid of a diagram, find the volume of the solid of revolution obtained by revolving the…

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Q: . The region bounded by y =x°, y= 0, and x = 2 is revolved about the line X=2. Find the volume of…

A: Let us first plot the required region.

Q: 1. Find the volume generated by revolving about the x-axis of the area bounded by the curve y = 6x -…

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Q: 3. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y…

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Q: 2. If the portion of y 2 between x = 0 and x = 4 is rotated about the x-axis, what would be the…

A: Given that the region is bounded by the curve  between The surface area of the revolution about…

Q: 10. The x-axis and y-axis form the axes of two right circular cylinders with radius = 1. Find the…

A: Given: The axes of two right circular cylinders with radius 1

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 surface area obtained by revolving the parabola x? = 4y from x = 0 to x = 2 about the…

A: If a curve f(y) is revolving about the y-axis over the interval [a,b], then the surface area is:…

Q: ... 10 10 What is the area of the region bounded by the parabola y = 10 – x², y – axis, x – axis,…

A: We have to find the area bounded by the curve

Q: enclosed betw parabola y = x2

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Q: 11. Find the area of the largest rectangle that fits into the triangle with slides x=0, y=0,…

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Q: 1. Find the area under the parabola y = 8 – x 2 – 2x, above the x-axis.

A: Given parabola y=8-x^2-2x Area = double integral (dx dy). First we will draw the graph based on…

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: Ex3: Find the volume bounded by the surface z = 3 – x - y and the area in x-y plane enclosed by the…

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

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Q: A rectangular plate is bounded by the x and y axes and the lines x = 6 and y =4. The thickness t of…

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