Q3/ The combining of the functions, x= 2 y?, x 4 y2, and x = 3, will be formed a confined region between each other. Solve to find the area of the obtained region, then find the volume of the generated solid after rotating it about the line y = -2?

Q: Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by,…

A: Integration of function expression with respect to variable or gives the area between function…

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

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Q: Draw the area bounded by the function y = x^2 + 1 and the line y = 2, and then calculate the volume…

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Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py =…

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Q: Find the volume of the solid generated by revolving by the curve y = v2 – x² and x-axis: حد د واحدا…

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Q: Find the volume of the solid generated by revolving the curve y? – x8 – x2 = 60 between x = 0 - and…

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Q: Q3/ Find the volume of the solid generated by revolving the region bounded by y = 3/(2√x), y = 0 &…

A: We have to find the volume of the solid generated by revolving the region bounded by y=32x, y=0 and…

Q: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (y=x²+2) & the…

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Q: Find the volume of the solid that results when the region enclosed by x = - y² + 7, and x = y + 4 is…

A: We first find the y values of the intersecting points by setting the equations…

Q: Q4) Fid the volume of the solid generated by revolving the region between the curve y = x + 1 and…

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Q: A container with a height of 3/2 is made by rotating the curve y = 3/2x^2, Osx<1, about the axis x =…

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Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

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Q: Find the volume (in units3) of the solid generated by revolving the region under the curve y = 4e−2x…

A: I use cylindrical shell method to find volume about y axis

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Q4/ Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: Find the centroid of the region bounded by y = 28x and y = 56 (x – 14). Enter the exact answer as a…

A: Given: The regions bounded by y2 = 28x  and y2 = 56(x-14). To determine: The Centroid of the region…

Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

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Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=9 and the three…

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

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 6x^5 on the…

A: Given fx=6x5 rotated about x axis in the interval x=-2 , x=+2Find volume generated .

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

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Q: Q4 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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Q: Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line…

A: Given, The volume for solid revolution between the curves and around the on interval [0,1] The…

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

A: We want to find the volume.

Q: Q4 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=4 and the three…

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Q: Q3 By sketching the graph, find the volume of the solid generated by [10] revolving the region…

A: In the question we have to find volume of region bounded by both curves.

Q: Q3: Calculate the volume of the solid obtained by rotating the region bounded by the curve y = 2x -x…

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Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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Q: The volume of a right circular cone of radius x and height y is given by V - Tx², 'y. Suppose that…

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Q: Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by,…

A: The Sketch of the given curve is:

Q: Compute for the volume of the solid formed bounded by the equations (y- 4)2 = x - 3, x-10, y-4, and…

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Q: Q4. Find the volume of the solid generated by revolving the curve r- between y=1 & y=4 about the…

A: We have been given the function which varies between y = 1 and y = 4 and revolves around y-axis.…

Q: From the equation of x² + y² + z² = 25 and inside the equation x² + y² = 9 Calculate the volume of…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x^5 on the…

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Q: Find the volume of the solid of revolution generated by revolving y = 9-x from x= - 3 to x= 3 about…

A: Given f(x)= 9-x2    where -3≤x≤3 To find the volume of the solid of revolution here use The Disc…

Q: What is the solid formed when the area bounded by

A: Given: 2x+y=2 The  coordinate axis is revolved about the y axis. To find: What is the solid form.

Q: Between the parabola y = -x² + 4x – 3 and the line y = x – 3 Find the volume of the solid formed by…

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Q: The volume of the solid generated by revolving the curve y = 2 x, between x =0 and x=3 about the x-…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x)=8x$ on the…

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Q: Q2|| Find the volume of the solid generated by revolving the region bounded by the curve -= X…

A: Volume of revolution

Q: 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4.

A: Given curves are, which generate the solid y2=4x, x=0, y=4   Graph is Since y2=4x⇒y=4x

Q: Sketch the area bounded by the function y = x^2 + 1 and the line y = 5, and then calculate the…

A: Volume of revolution

Q: The area in the first quadrant, bounded by the curve y = 2x1/2, the y-axis and the line y – 6 = 0 is…

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Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 8x³ on the…

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Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.