Find the volume of the region bounded above by the paraboloid z = x2 + y2 and below by the square R: -1<=x<= 1, -1<= y<=1.

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: Find the volume of the solid that results when the region bounded by x = y and x = y + 12 is…

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Q: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: Find the volume of the region bounded above by the sur-face z = 4 - y2 and below by the rectangle R:…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded byy = x² and…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = (x-1)(x-3)²and the…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

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Q: Find the volume of the solid obtained by revolving the region between the graphs of y = x² and 3x…

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Q: . Find the volume of the solid obtained by rotating the region bounded by  y = √x    x = 0, and x =…

A: Given curve y=x, x=0 and x=4. The volume is generated by curve rotating about x-axis.

Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -6+ y² and a y about the…

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Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y=v(x),…

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Q: What is the volume of the solid whose 1 30 cross-sections are squares perpendicular to the x-axis…

A: Given: The region bounded by the curves are: y=x and y=x The cross-sections are squares…

Q: ) Find the volume of the solid whose base is the region in the first quadrant bounded by y = x5, y =…

A: Here, the cross-sections perpendicular to the x-axis are semicircles whose base span from y=x5 &amp;…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y = √x and y = x^2…

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Q: Find the volume of the solid generated when the region bounded by y = x² – x and y = x - y2 is…

A: Introduction: If the area of the ring is A=πOuter radius2-(Inner radius)2, the volume of solid…

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

A: To find the volume of solid generated by revolving around the x axis

Q: Find the volume of the solid generated when the region bounded by y = 9x and y = 36/x is revolved…

A: The given curves fx=36xgx=9x Solving the above equation 36x=9x362x-81x2=0x362-81x=0x=0, 16

Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the…

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Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

A: We have to determine volumes of solid

Q: Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the…

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Q: Find the volume of the solid generated when the region bounded by y= 9x and y 27x is revolved about…

A: Given curves are y=9x   ....1 and y=27x  ...2

Q: Find the volume of revolution from the region bounded by y=x, x+y=6 and y=1, being revolved around…

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Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

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Q: find the volume of a solid obtained by rotating the region enclosed by y=x^2 and y=4 about the line…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y 1, and the…

A: Here, to find the volume of the solid whose base is the region in the first quadrant bounded by…

Q: Find the volume of the solid that results when the region bounded by x=y^2 and x=4y+5 is revolved…

A: Given: To obtain the volume of the solid when the region bounded by x=y2 and x=4y+5 is revolved…

Q: Find the volume of the region enclosed by z = 1 – y and z = y² – 1 for 0 < x < 42. - V =

A: To find the volume of the region enclosed by z=1-y2 and z=y2-1 for 0≤x≤42

Q: Find the volume of a solid extending from y = 2 to y = 5 if every cross section has area A(y) = 5.

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Q: Find the volume of the solid that results when the region enclosed by x = y² and x = y is revolved…

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Q: . Find the volume of the solid whose base is the region bounded by the semicircle y = 1– x² and the…

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Q: Find the volume of the solid whose base is the region bounded between the curves y = x and y = x²,…

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Q: Find the volume of the region bounded above by the paraboloid z = x² + 2y² and below by the square…

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Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x^4 and y=1 with 0 being…

A: We have given

Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = 3/T,…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8 – y² - and x 2y about…

A: Given the region is bounded by the curves x=2y and x=8-y2 about the line x=9. The curves intersect…

Q: Find the volume swept out by revolving the region bounded by the x-axis and the graph of x = 2t, y =…

A: Given that x = 2t and y = t(2–t). Obtain the interval of integration as follows.

Q: Find the volume of the solid obtained by rotating the region bounded by x = -8+ y² and x = 2y about…

A: Given : x=-8+y2 , x=2y  and x=-9. Therefore, -8+y2=2y⇒y2-2y-8=0⇒y2-4y+2y-8=0⇒yy-4 +2y-4 = 0⇒y-4y+2 =…

Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3,…

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y=6(x^2),…

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

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Q: Find the volume of the solid obtained by rotating the region bounded by -6+ y² and x = y about the…

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Q: Find the volume of the solid generated when the region bounded by y=x²-x and y=x-x² is revolved…

A: bounds are  x = 2 ,   y=x²-x   and   y=x-x² y = -(x - x2) y = -y y = 0 =&gt;  x =&gt;   0 = x - x2…

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

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