Example 2.4.2. Find the volume of the solid of revolution of the region enclosed by the parabola y = x2 +1 and the line r + y = 3 about the x-axis.

Q: 1. Find the volume of the solid generated when the region bounded by y = 9- x² and y = 2x +6 is…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the volume of the solid that is bounded on the front and back by the planes x = 1 and x = 4, on…

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Q: 15.5, 4

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Q: 4. (a) Find the volume of the solid generated when the region enclosed by y = -. 6-x2 and y = 0 is…

A: Given the solid generated when the region enclosed by  y=−6−x225  and  y=0   is revolved around the…

Q: Find the volume of the solid that lies inside both the cylinder x² + y² = 25 and the sphere x² + y²…

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Q: f(x) = x+4 2-x-2' any needs a part made that looks li

A: Given: x=3, x=4, f(x)=x-4x2-x-2 To find: Volume made by this curve

Q: 3. Find the volume of the solid form by the region bounded by the curves y = =,y = 2-x is revolved…

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Q: Find the area of the region bounded by the graphs of y=x²-2x and y=x. Find the volume of the solid…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = : x² + y² and above by the…

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Q: 2. Consider part of the graph of y = ! for x > 1. By rotating the graph about the x-axis, the…

A: Given : The graph of y=1x for x≥1 By rotating the graph about the x-axis  we get the unbounded solid…

Q: Find the volume of the solid of revolution when the region bounded by the -axis, y-axis and the…

A: To find the volume of solid of revolution when the region bounded by the curve y=1x,x-axix,y-axis…

Q: Find a center of mass of a thin plate of density 8=2 bounded by the lines y=x and x = 0 and the…

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Q: 2 2 5. Find the volume of the solid bounded by the surface f (x, y) = 3x´y´ and the curves y = 2x -…

A: We will have to find the volume of the solid bounded by the surface f(x,y)=3x2y2 and the curves…

Q: Find the area of R

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Q: Find the volume of the solid of revolution created when the area bounded by f(x) = 2e-² (shown in…

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Q: 1. Graph and shade the region enclosed by y = e + 2, y = 0, x = 0, and x = 0.3. -0.10 3 2 0.10 0.20…

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Q: Q3.A BOx is made from a 8 by corners. a. Show that the volume b. Find V'(x) c. For which value of x…

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Q: 2. Given are functions g(x) =x and h(x) = 1–. The area enclosed by these two functions, the line x =…

A: It is given that gx=x4 and hx=1-1x. We have to evaluate the volume of the solid of revolution by…