y z Show that the volume of the segment cut by the paraboloid+ 2,2 by the plane z=h equals half the segment's base times its altitude.

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 volume of the solid bound between the paraboloid z = x^2 + y^2 and the plane x + z = 0 as…

A: Given data: The given equation of paraboloid is z=x2+y2. The equation of the plane is x+z=0. (a)…

Q: Which three dimensional figures when sliced by a plane cannot have a cross section that is a square?

A: When a rectangular pyramid is sliced by a plane then the obtained section will not be square.

Q: Q3/ The surfaces p = 3, p=5, p = 100, p = 130, z= 3, and z= 4.5 define a closed surface. Find (a)…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: A certain parabolic monument has a base that is a parabola ( y=−.5x2+8y=−.5x2+8 ) And a front…

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Q: What quadric surface is the following an equation for and how do you know? -9x^2-3x+y^2+z^2= 1/4

A: The given quadratic equation is .We know that the quadratic surface of the form  form a cone.

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

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Q: Which is the equation of a sphere with a center at (1,0,-2) with a volume of 36(pi)(u^3)? a.…

A: We first defined the equation of sphere and centre,volume . Using this formula we have equation (a)…

Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2-√√x² +…

A: We have to find the exact volume of the solid formed in the first octant bounded above by the cone…

Q: 5) Let R(x, y) = 3x² + y². Find the minimum value of R on the hyperbola xy 2.

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