What is the solid formed when the area bounded by

Q: Find the surface area of the portion of the half ball with a radius a which cuts off by the cylinder…

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: What is the volume of the solid that results when the region enclosed by the curves y = cosx and y =…

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Q: Compute the area of surface generated by revolving the four-cusped of hypocycloid x⅔+ y⅔ =a⅔ about…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Find the surface area of the solid obtained by y=2x, 0sx58revolving around the x-axis

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Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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Q: 1) Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

A: As per our guidelines we are supposed to answer only first question. Kindly repost other question as…

Q: Determine the surface area of the solid obtained by rotating y = 3 Vx, 1<y<3 about the y-axis.

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Q: Find the volume of the solid in the first octant bounded above by the surface z = r sinθ,below by…

A: Polar coordinates are similar to parametric forms only difference being the polar coordinates are…

Q: 11. The solid whose base is the region bounded by the semicircle y = V1 - x² and the x-axis, and…

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Q: What is the solid of revolution obtained when you revolve the region bounded by the curves y=x−1,…

A: We have given curves y=x-1,  y=0 and x=3 And we can plot graph of these curves as We can  see here…

Q: (1 point) The volume of the solid obtained by rotating the region enclosed by y = a², y = 2x, about…

A: y=x2y=2x about line x=2 for point of intersection x2=2xx2-2x=0x(x-2)=0x=0,2

Q: The area bounded by y = 2x² - x³, and y=0 is revolved about x=0. Find the volume of the solid…

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Q: Find the surface area of the solid of intersection of the cylinders  x2 + z2 = 9  and  y2 + z2 = 9

A: To find the surface area of the solid

Q: Find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

A: To find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

Q: The surface area of the solid generated by revolving the straight line 2y = x+1 bounded by x-1, x 3…

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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: The surface area of the surface generated by revolving y=x^3 , 0<=x<=1 about the x-axis is

A: We have to find the surface area of the region generated by y=x^3, 0&lt;=x&lt;=1 about the x-axis. I…

Q: 2. Suppose you revolved the triangular region bound by the axes and the line 4x + 3y = 12 completely…

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Q: Find the volume of the solid generated if the region bounded by the parabola y^2 = 4px (p>0) and the…

A: Given that equation of parabola y2=4px, p&gt;0  equation of line x=p We have to find volume of the…

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 of solids figure generated by rotating the area between y = 4x - 1 and thex- axis…

A: Given- The figure generated by rotating the area between y=4x-1, x-axis and the lines x=1 and x=3…

Q: The base of a solid is the region bounded by the graphs of y = 3x,y = 6, and x = 0. The…

A: Given, The base of a solid is the region bounded by the graphs of y = 3x,y = 6, and x = 0. The…

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square…

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

A: Let's find.

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: 11. Find the volume of the solid generated by revolving the plane region bounded by y = 4x2 and y =…

A: We have, y=4x2y=10x-x2   It is known that volume of the solid is generated by revolving the bounded…

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

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Q: How do you find the volumes of the solids generated by revolving the region in the first quadrant…

A: First solve the given equation for x = 0.

Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

Q: What is the volume of the solid whose base is the interior of the parabola y2 = x from x=0 to x=4…

A: Given parabola equation is  y2=xTake square root on both sidesy=x Now we find area of square shaped…

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: 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: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: Find the area of the surface that is obtained by rotating the graph of X = 1+ Y² (Y = 1 to Y= 2)…

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Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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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: Find the volume of the solid generated when the area bounded by the curves x^2-4y+4=0 and…

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Q: Find the area of the region cut from the plane x + 2y + 2z = 5 by the cylinder whose walls are x =…

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Q: Find the volume of the solid bounded by the planes z = 0, z = 4, and y = 9 and the parabolic…

A: We have to find the volume of the solid bounded by the plane z=0, z=4 and y=9 and the parabolic…

Q: The area under the curve 4y2 =" (x2 + 1)3 was rotated about a line located to the left of y – axis…

A: The surface area of the solid can be obtained using the Pappus theorem. The surface area is…

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the given…

A: This question can be solved using the concept of volume of solid generated by revolving the bounded…

Q: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: The volume of the solid generated when the region at the first quadrant bounded by the curve y = x²…

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Q: Find the volunme of the solid generated by revolving the region bounded by y = 4x - 2* and y/ the…

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Q: Find the area of the surface that is obtained by rotating the graph of X = 1+Y² (Y = 1 to Y= 2)…

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Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

A: Given curve is y=16-x2, x=-3, x=3 is rotated about the x axis. find the volume of the solid Formula:…

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

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