Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y?, z = 0 and 2x2 +2y2 = 4. Leave your answer correct to 3 decimal places.

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 45-5y² and the plane x +y…

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Q: Find the area of the part of the surface z=3xy that lies within the cylinder x^2+y^2 ≤ 4

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Q: A solid formed by revolving about the y-axis, the area bounded by the curve y=x4, the y-axis, and…

A: Given that  area bounded by the curve y=x4, the y-axis, and the line y=16.  To find the centroid of…

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A: Given solid is bounded by sphere x2+y2+z2=16 and cylinder x+y-22=4 Volume using cylindrical…

Q: What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

A: The area under the curve can be calculated by the integration. The formula for the integration is…

Q: Find the area of the cap cut from the paraboloid y^2+z^2=2x by the plane x=2

A: To Find: Area of the cap cut from the paraboloid y2+z2=2x by the plane x=2.

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

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Q: Calculate the volume of the solid above the xy plane delimited by = 9-x² - y²

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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: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: Find the area of the surface x2 - 2y - 2z = 0 that lies above the triangle bounded by the lines x =…

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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: The base of a sand pile covers the region in the xy-plane that is bounded by the parabola x2 + y = 6…

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Q: Please find the volume that lies between the rectangle [-5,0] x [2,5] (in the xy-plane) and the…

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Q: Find the surface area of the part of the plane 2x + y + z = 4 that lies inside the cylinder x² + y²…

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Q: Find the area of the plane x−2y+5z=13 cut out by the cylinder x^2+y^2=9

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