y =xx, x 4, and y = 0 ... ....* Revolve the area of the shaded region about the line x = 4. Using circular lisk method, the volume of the solid generated is given by the definite ntegral A (16-y4/3) dy © /(16-2) da

Q: Write the equation for the volume obtained by rotating the region shaded below about the line y =…

A: Hee, the volume formula is: V=π∫ab((f(x)-a)2-(g(x)-a)2) dx where the region bounded by the curves…

Q: Find the Volume the Colid obtained by rotating the vegion enclosed about linie 4=0 Using the metned…

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Q: y = 9x² and y = 0 = about x = -4

A: First we plot the graph of the region and axis of revolution.

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Q: A solid is generated by revolving the region bounded by y = (1/ 2) x2 and      y = 2 about the…

A: The region is bounded by y=12x2 and y=2. We have to find the diameter of the hole.

Q: Find the area of the region enclosed by the curves: y = e2", y = et", æ = 1

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Q: Find the volume of the solid generated by revolving the area bounded by x- y² + 4y-4 0 and x- y-4 0…

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Q: Find the area bounded by the y-axis. The line y=2, and the arc of y= 1/3sin2x from x=0 to pi/2,…

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Q: What is the volume of the solid rotated about the x-axis under the curve y = 2x -1 from x = 1 to x =…

A: Volume by disk method: The volume of a shaded region bounded by two curves over the interval [a,b]…

Q: Consider the following curves: y = x^2 - 3 x, y = 0 a. Sketch the region bounded by the curves.…

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Q: Determine the volume obtained by rotating the area enclosed by y = x(4 – x) and y 0 about the line x…

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Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

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Q: Consider the area in the first quadrant bounded by 9. A Firstly, find the exact volume of the solid…

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