1.) Find the volume of the wedge of the cylinder a + 25y z = r-4 using a triple integral in rectangular coordinates. 25 created by the planes z = 4-x and %3D

Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

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Q: Find the distance between the planes x + 3y – 2z = 3 and 2x - y - z = 4. %3D

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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: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: To find the maximum of Volume we use dV/dx=0

Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…

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Q: 3- a) Find the area of the region in the first quadrant between, y = IN and y = 1/4x² 2 b) Find the…

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Q: Complete the following problems. a. Express the area A of the cross-section cut from the ellipsoid…

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Q: 2 Find the area of the ellipse cut from the plane z = 3x by the cylinder x² + y² = 16. Surface area…

A: Given plane z=3x and the cylinder x2+y2=16. The objective is to find the area of the ellipse cut…